This study explores the integration path of ideological and political education in the course Design Thinking and Expression of environmental art design,aiming to enhance students’innovative thinking,social responsib...This study explores the integration path of ideological and political education in the course Design Thinking and Expression of environmental art design,aiming to enhance students’innovative thinking,social responsibility,and awareness of sustainable development.Based on the core philosophy of design thinking(people-oriented,problem-solving,and interdisciplinary collaboration)and the elements of ideological and political education in courses(moral education,cultural confidence,sustainable development,and social equity),the study proposes implementation paths for optimizing course objectives,adjusting course content,innovating teaching methods,and optimizing the evaluation system.Through project-based learning,situational teaching,and interdisciplinary collaboration,combined with practical cases such as historical district renewal,environmental design for rural revitalization,and green commercial space design,it has been verified that the effective integration of ideological and political elements in courses can enhance students’cultural identity,sense of social responsibility,and design innovation ability.This study provides theoretical support and practical demonstration for the ideological and political reform of environmental art design courses.In the future,interdisciplinary collaboration can be further deepened,social practice applications can be expanded,the evaluation system can be improved,and the systematic development of ideological and political courses can be promoted.展开更多
The rapid pace of economic globalization has presented both unprecedented opportunities and challenges for the construction industry.Management accounting and financial accounting,as integral components of enterprise ...The rapid pace of economic globalization has presented both unprecedented opportunities and challenges for the construction industry.Management accounting and financial accounting,as integral components of enterprise management,play indispensable roles in the development of construction companies.While both disciplines possess distinct characteristics,the evolving business landscape necessitates a more integrated approach.By combining the strengths and values of both,construction companies can gain valuable insights and make informed decisions.This paper delves into the concepts of management accounting and financial accounting,explores the feasibility of their integration within construction companies,and provides recommendations for implementation to foster sustainable development.The insights and strategies presented in this paper can serve as a valuable reference for other construction companies seeking to optimize their management and operations.展开更多
Feynman-Path Integral in Banach Space: In 1940, R.P. Feynman attempted to find a mathematical representation to express quantum dynamics of the general form for a double-slit experiment. His intuition on several slits...Feynman-Path Integral in Banach Space: In 1940, R.P. Feynman attempted to find a mathematical representation to express quantum dynamics of the general form for a double-slit experiment. His intuition on several slits with several walls in terms of Lagrangian instead of Hamiltonian resulted in a magnificent work. It was known as Feynman Path Integrals in quantum physics, and a large part of the scientific community still considers them a heuristic tool that lacks a sound mathematical definition. This paper aims to refute this prejudice, by providing an extensive and self-contained description of the mathematical theory of Feynman Path Integration, from the earlier attempts to the latest developments, as well as its applications to quantum mechanics. About a hundred years after the beginning of modern physics, it was realized that light could in fact show behavioral characteristics of both waves and particles. In 1927, Davisson and Germer demonstrated that electrons show the same dual behavior, which was later extended to atoms and molecules. We shall follow the method of integration with some modifications to construct a generalized Lebesgue-Bochner-Stieltjes (LBS) integral of the form , where u is a bilinear operator acting in the product of Banach spaces, f is a Bochner summable function, and μ is a vector-valued measure. We will demonstrate that the Feynman Path Integral is consistent and can be justified mathematically with LBS integration approach.展开更多
This study focuses on the master of arts education in higher education institutions in Guangxi Zhuang Autonomous Region of China,explores the path of integrating Guangxi Zhuang’s intangible cultural heritage with the...This study focuses on the master of arts education in higher education institutions in Guangxi Zhuang Autonomous Region of China,explores the path of integrating Guangxi Zhuang’s intangible cultural heritage with the teaching of master of arts,and puts forward the teaching mode of“thinking guidance-autonomous judgement-program construction.”A theoretical model of innovative transformation of intangible cultural heritage is also summarized.Through the development of this study,it is expected to further enrich the practical teaching mechanism of master of arts education in Chinese universities and form a master of arts teaching model with strong local cultural characteristics.At the same time,the teaching reform based on the integration of Guangxi Zhuang’s intangible cultural heritage and master of arts education also has strong practical significance for promoting the inheritance and innovation of Chinese intangible cultural heritage,promoting the development of cultural and creative industries,and serving the economic and social development of Guangxi.展开更多
Some neurons in the brain of freely moving rodents show special firing pattern. The firing of head direction cells(HDCs) and grid cells(GCs) is related to the moving direction and distance, respectively. Thus, it is c...Some neurons in the brain of freely moving rodents show special firing pattern. The firing of head direction cells(HDCs) and grid cells(GCs) is related to the moving direction and distance, respectively. Thus, it is considered that these cells play an important role in the rodents' path integration. To provide a bionic approach for the vehicle to achieve path integration, we present a biologically inspired model of path integration based on the firing characteristics of HDCs and GCs. The detailed implementation process of this model is discussed. Besides, the proposed model is realized by simulation, and the path integration performance is analyzed under different conditions. Simulations validate that the proposed model is effective and stable.展开更多
Most path integral expressions for quantum open systems are formulated with diagonal systembath coupling,where the influence functional is a functional of scalar-valued trajectories.This formalism is enough if only a ...Most path integral expressions for quantum open systems are formulated with diagonal systembath coupling,where the influence functional is a functional of scalar-valued trajectories.This formalism is enough if only a single bath is under consideration.However,when multiple baths are present,non-diagonal system-bath couplings need to be taken into consideration.In such a situation,using an abstract Liouvillian method,the influence functional can be obtained as a functional of operator-valued trajectories.The value of the influence functional itself also becomes a superoperator rather than an ordinary scalar,whose meaning is ambiguous at first glance and its connection to the conventional understanding of the influence functional needs extra careful consideration.In this article,we present another concrete derivation of the superoperator-valued influence functional based on the straightforward Trotter-Suzuki splitting,which can provide a clear picture to interpret the superoperator-valued influence functional.展开更多
A key strategy for raising students’humanistic aptitude is through music education.Culture is the soul of music and the source of innovation in music education.Under the current social education concept,it is advocat...A key strategy for raising students’humanistic aptitude is through music education.Culture is the soul of music and the source of innovation in music education.Under the current social education concept,it is advocated to carry forward excellent traditional and red culture in teaching,hence this paper further explores the path of integrating red culture into music education.The incorporation of the Taihang spirit,the most representative cultural resource in Shanxi,into music education in colleges and universities will promote the concept of Lide Shuren,further enhance students’training,and enable students to fulfill the dual education requirements.展开更多
We study the dynamics of a two-electron atom interacting with a pulsed, elliptically polarized, ultrashort, excited coherent state. We use path integral methods and integrate on the photonic part. We angularly decompo...We study the dynamics of a two-electron atom interacting with a pulsed, elliptically polarized, ultrashort, excited coherent state. We use path integral methods and integrate on the photonic part. We angularly decompose the Coulomb interaction term of the two electrons and the interaction term of the two electrons with the photonic field and solve the sign problem. We give results on the survival probability of the ground state of Helium.展开更多
Party construction aesthetics is a valuable aesthetic resource formed in the practical exploration of rural revitalization,and it has logical compatibility with ideological and political education in terms of concepts...Party construction aesthetics is a valuable aesthetic resource formed in the practical exploration of rural revitalization,and it has logical compatibility with ideological and political education in terms of concepts,goals,tasks,etc.At present,comprehensive deepening reform has entered a deep-water zone,and some erroneous value orientations such as utilitarianism,emptiness,and liberalization are common in colleges and universities,and ideological and political education is caught in a new round of difficulties.As the main position of ideological and political education,colleges and universities should further use party construction aesthetics to strengthen and improve ideological and political education,adhere to the carrier of aesthetic education,carry out diversified integrated education,broaden the ideological and political practical teaching system,build a long-term mechanism for collaborative education of ideological and political education and party construction aesthetics,and fully integrate party construction aesthetics into ideological and political education in colleges and universities.展开更多
By elastic-plastic finite deformation finite element analysis (FEA), the conservation of J-integral is investigated in detail for a welded joint with an overmatchingweld in plane stress case. It is indicated that J-in...By elastic-plastic finite deformation finite element analysis (FEA), the conservation of J-integral is investigated in detail for a welded joint with an overmatchingweld in plane stress case. It is indicated that J-integral is path dependent under various conditions at least in the cases studied in this paper. Meanwhile, the above conclusions are verified by the hybrid method results in which combined Moire interferometry with FEA.展开更多
In this paper we obtain a propagator of path integral for a harmonic oscillator and a driven harmonic oscillator by using the power series expansion. It is shown that our result for the harmonic oscillator is more exa...In this paper we obtain a propagator of path integral for a harmonic oscillator and a driven harmonic oscillator by using the power series expansion. It is shown that our result for the harmonic oscillator is more exact than the previous one obtained with other approximation methods. By using the same method, we obtain a propagator of path integral for the driven harmonic oscillator, which does not have any exact expansion. The more exact propagators may improve the path integral results for these systems.展开更多
The initial stresses widely exist in elastic materials.While achieving a continuum stress-free configuration through compatible unloading is desirable,mechanical unloading alone frequently proves insufficient,posing c...The initial stresses widely exist in elastic materials.While achieving a continuum stress-free configuration through compatible unloading is desirable,mechanical unloading alone frequently proves insufficient,posing challenges in avoiding virtual stress-free configurations.In this paper,we introduce a novel concept of equivalent temperature variation to counteract the incompatible initial strain.Our focus is on initially stressed cylindrical and spherical elastomers,where we first derive the Saint-Venant,Beltrami-Michell,and Volterra integral conditions in orthogonal curvilinear coordinates using the exterior differential form theory.It is shown that for any given axially or spherically distributed initial stress,an equivalent temperature variation always exists.Furthermore,we propose two innovative initial stress forms based on the steady-state heat conduction.By introducing an equivalent temperature variation,the initial stress can be released through a compatible thermo-mechanical unloading process,offering valuable insights into the constitutive theory of initially stressed elastic materials.展开更多
In the context of the deep integration of digitalization and innovation and entrepreneurship education,this study focuses on the characteristics of schools and courses,investigates students’expectations and needs for...In the context of the deep integration of digitalization and innovation and entrepreneurship education,this study focuses on the characteristics of schools and courses,investigates students’expectations and needs for ideological and political elements,and deeply explores ideological and political cases such as the Beidahuang spirit,Daqing spirit,model worker spirit,and role models around them.It explores the integration practice of“curriculum ideological and political”in extracurricular tutoring teaching of engineering graphics,aiming to guide students to establish patriotism,love for schools,knowledge of agriculture,and love for agriculture,and effectively enhance the coordinated development of students’graphic skills and ideological and political literacy.Practice has shown that integrating ideological and political resources,incorporating ideological and political elements into curriculum content and practical activities,can effectively enhance the collaborative development of students’graphic skills and ideological and political literacy.At the same time,it provides new ideas and references for expanding ideological and political education to extracurricular tutoring courses.展开更多
A numerical scheme for the nonlinear behavior of structure under wind excitation is investigated. With the white noise filter of turbulent-wind fluctuations, the nonlinear motion equation of structures subjected to wi...A numerical scheme for the nonlinear behavior of structure under wind excitation is investigated. With the white noise filter of turbulent-wind fluctuations, the nonlinear motion equation of structures subjected to wind load was modeled as the Ito＇ s stochastic differential equation. The state vector associated with such a model is a diffusion process. A continuous linearization strategy in the time-domain was adopted. Based on the solution series of its stochastic linearization equations, the formal probabilistic density of the structure response was developed by the path integral technique. It is shown by the numerical example of a guyed mast that compared with the frequency-domain method and the time-domain nonlinear analysis, the proposed approach is highlighted by high accuracy and effectiveness. The influence of the structure non-linearity on the dynamic reliability assessment is also analyzed in the example.展开更多
In this paper,the path integral solutions for a general n-dimensional stochastic differential equa-tions(SDEs)withα-stable Lévy noise are derived and verified.Firstly,the governing equations for the solutions of...In this paper,the path integral solutions for a general n-dimensional stochastic differential equa-tions(SDEs)withα-stable Lévy noise are derived and verified.Firstly,the governing equations for the solutions of n-dimensional SDEs under the excitation ofα-stable Lévy noise are obtained through the characteristic function of stochastic processes.Then,the short-time transition probability density func-tion of the path integral solution is derived based on the Chapman-Kolmogorov-Smoluchowski(CKS)equation and the characteristic function,and its correctness is demonstrated by proving that it satis-fies the governing equation of the solution of the SDE,which is also called the Fokker-Planck-Kolmogorov equation.Besides,illustrative examples are numerically considered for highlighting the feasibility of the proposed path integral method,and the pertinent Monte Carlo solution is also calculated to show its correctness and effectiveness.展开更多
In order to design the press bend forming path of aircraft integral panels,a novel optimization method was proposed, which integrates FEM equivalent model based on previous study,the artificial neural network response...In order to design the press bend forming path of aircraft integral panels,a novel optimization method was proposed, which integrates FEM equivalent model based on previous study,the artificial neural network response surface,and the genetic algorithm.First,a multi-step press bend forming FEM equivalent model was established,with which the FEM experiments designed with Taguchi method were performed.Then,the BP neural network response surface was developed with the sample data from the FEM experiments.Furthermore,genetic algorithm was applied with the neural network response surface as the objective function. Finally,verification was carried out on a simple curvature grid-type stiffened panel.The forming error of the panel formed with the optimal path is only 0.098 39 and the calculating efficiency has been improved by 77%.Therefore,this novel optimization method is quite efficient and indispensable for the press bend forming path designing.展开更多
By using the path integral approach, we investigate the problem of Hooke＇s atom （two electrons interacting with Coulomb potential in an external harmonic-oscillator potential） in an arbitrary time-dependent electri...By using the path integral approach, we investigate the problem of Hooke＇s atom （two electrons interacting with Coulomb potential in an external harmonic-oscillator potential） in an arbitrary time-dependent electric field. For a certain infinite set of discrete oscillator frequencies, we obtain the analytical solutions. The ground state polarization of the atom is then calculated. The same result is also obtained through linear response theory.展开更多
We construct a general form of propagator in arbitrary dimensions and give an exact wavefunction of a time- dependent forced harmonic oscillator in D（D ≥ 1） dimensions. The coherent states, defined as the eigenstat...We construct a general form of propagator in arbitrary dimensions and give an exact wavefunction of a time- dependent forced harmonic oscillator in D（D ≥ 1） dimensions. The coherent states, defined as the eigenstates of annihilation operator, of the D-dimensional harmonic oscillator are derived. These coherent states correspond to the minimum uncertainty states and the relation between them is investigated.展开更多
We obtain analytical expressions for the energy eigenvalues of both the Schioberg and Eckart potentials using an approximation of the centrifugal term. In order to determine the l-states solutions, we use the Feynman ...We obtain analytical expressions for the energy eigenvalues of both the Schioberg and Eckart potentials using an approximation of the centrifugal term. In order to determine the l-states solutions, we use the Feynman path integral approach to quantum mechanics. We show that by performing nonlinear space-time transformations in the radial path integral, we can derive a transformation formula that relates the original path integral to the Green function of a new quantum solvable system. The explicit expression of bound state energy is obtained and the associated eigenfunctions are given in terms of hypergeometric functions. We show that the Eckart potential can be derived from the Schioberg potential. The obtained results are compared to those produced by other methods and are found to be consistent.展开更多
Quantum measurement problem has existed many years and inspired a large of literature in both physics and philosophy,but there is still no conclusion and consensus on it.We show it can be subsumed into the quantum the...Quantum measurement problem has existed many years and inspired a large of literature in both physics and philosophy,but there is still no conclusion and consensus on it.We show it can be subsumed into the quantum theory if we extend the Feynman path integral by considering the relativistic effect of Feynman paths.According to this extended theory,we deduce not only the Klein-Gordon equation,but also the wave-function-collapse equation.It is shown that the stochastic and instantaneous collapse of the quantum measurement is due to the "potential noise" of the apparatus or environment and "inner correlation" of wave function respectively.Therefore,the definite-status of the macroscopic matter is due to itself and this does not disobey the quantum mechanics.This work will give a new recognition for the measurement problem.展开更多
基金“Curriculum Ideological and Political Education”Demonstration Project of Chongqing University of Posts and Telecommunications:Design Thinking and Expression(Environmental Design)(XKCSZ2251)Construction and Practice of the Ability Training System for“Internet+”Design Talents to Serve Rural Revitalization(233231)。
文摘This study explores the integration path of ideological and political education in the course Design Thinking and Expression of environmental art design,aiming to enhance students’innovative thinking,social responsibility,and awareness of sustainable development.Based on the core philosophy of design thinking(people-oriented,problem-solving,and interdisciplinary collaboration)and the elements of ideological and political education in courses(moral education,cultural confidence,sustainable development,and social equity),the study proposes implementation paths for optimizing course objectives,adjusting course content,innovating teaching methods,and optimizing the evaluation system.Through project-based learning,situational teaching,and interdisciplinary collaboration,combined with practical cases such as historical district renewal,environmental design for rural revitalization,and green commercial space design,it has been verified that the effective integration of ideological and political elements in courses can enhance students’cultural identity,sense of social responsibility,and design innovation ability.This study provides theoretical support and practical demonstration for the ideological and political reform of environmental art design courses.In the future,interdisciplinary collaboration can be further deepened,social practice applications can be expanded,the evaluation system can be improved,and the systematic development of ideological and political courses can be promoted.
文摘The rapid pace of economic globalization has presented both unprecedented opportunities and challenges for the construction industry.Management accounting and financial accounting,as integral components of enterprise management,play indispensable roles in the development of construction companies.While both disciplines possess distinct characteristics,the evolving business landscape necessitates a more integrated approach.By combining the strengths and values of both,construction companies can gain valuable insights and make informed decisions.This paper delves into the concepts of management accounting and financial accounting,explores the feasibility of their integration within construction companies,and provides recommendations for implementation to foster sustainable development.The insights and strategies presented in this paper can serve as a valuable reference for other construction companies seeking to optimize their management and operations.
文摘Feynman-Path Integral in Banach Space: In 1940, R.P. Feynman attempted to find a mathematical representation to express quantum dynamics of the general form for a double-slit experiment. His intuition on several slits with several walls in terms of Lagrangian instead of Hamiltonian resulted in a magnificent work. It was known as Feynman Path Integrals in quantum physics, and a large part of the scientific community still considers them a heuristic tool that lacks a sound mathematical definition. This paper aims to refute this prejudice, by providing an extensive and self-contained description of the mathematical theory of Feynman Path Integration, from the earlier attempts to the latest developments, as well as its applications to quantum mechanics. About a hundred years after the beginning of modern physics, it was realized that light could in fact show behavioral characteristics of both waves and particles. In 1927, Davisson and Germer demonstrated that electrons show the same dual behavior, which was later extended to atoms and molecules. We shall follow the method of integration with some modifications to construct a generalized Lebesgue-Bochner-Stieltjes (LBS) integral of the form , where u is a bilinear operator acting in the product of Banach spaces, f is a Bochner summable function, and μ is a vector-valued measure. We will demonstrate that the Feynman Path Integral is consistent and can be justified mathematically with LBS integration approach.
基金2023 Innovation Project of Guangxi Graduate Education“Innovation Transformation·Integration of Industry and Education-Research on the Integration Path of Zhuang Intangible Cultural Heritage and Master of Arts Course Teaching”(Project number:JGY2023052)2023 Special Project of Guangxi 14th Five-Year Plan for Educational Science“Revitalisation of Non-Heritage-Integration of Industry and Education-Research on the Service of Regional Economic Development of Design Professional Innovation and Entrepreneurship Education in Guangxi Colleges and Universities”(Project number:2023ZJY1836)。
文摘This study focuses on the master of arts education in higher education institutions in Guangxi Zhuang Autonomous Region of China,explores the path of integrating Guangxi Zhuang’s intangible cultural heritage with the teaching of master of arts,and puts forward the teaching mode of“thinking guidance-autonomous judgement-program construction.”A theoretical model of innovative transformation of intangible cultural heritage is also summarized.Through the development of this study,it is expected to further enrich the practical teaching mechanism of master of arts education in Chinese universities and form a master of arts teaching model with strong local cultural characteristics.At the same time,the teaching reform based on the integration of Guangxi Zhuang’s intangible cultural heritage and master of arts education also has strong practical significance for promoting the inheritance and innovation of Chinese intangible cultural heritage,promoting the development of cultural and creative industries,and serving the economic and social development of Guangxi.
基金Project supported by the National Natural Science Foundation of China(No.61273048)
文摘Some neurons in the brain of freely moving rodents show special firing pattern. The firing of head direction cells(HDCs) and grid cells(GCs) is related to the moving direction and distance, respectively. Thus, it is considered that these cells play an important role in the rodents' path integration. To provide a bionic approach for the vehicle to achieve path integration, we present a biologically inspired model of path integration based on the firing characteristics of HDCs and GCs. The detailed implementation process of this model is discussed. Besides, the proposed model is realized by simulation, and the path integration performance is analyzed under different conditions. Simulations validate that the proposed model is effective and stable.
基金supported by the National Natural Science Foundation of China under Grant No.12104328the Sichuan Science and Technology Program under Grant No.2024NSFSC1388。
文摘Most path integral expressions for quantum open systems are formulated with diagonal systembath coupling,where the influence functional is a functional of scalar-valued trajectories.This formalism is enough if only a single bath is under consideration.However,when multiple baths are present,non-diagonal system-bath couplings need to be taken into consideration.In such a situation,using an abstract Liouvillian method,the influence functional can be obtained as a functional of operator-valued trajectories.The value of the influence functional itself also becomes a superoperator rather than an ordinary scalar,whose meaning is ambiguous at first glance and its connection to the conventional understanding of the influence functional needs extra careful consideration.In this article,we present another concrete derivation of the superoperator-valued influence functional based on the straightforward Trotter-Suzuki splitting,which can provide a clear picture to interpret the superoperator-valued influence functional.
基金Achievements of“Continuing the Red Bloodline and Inheriting the Spirit of Taihang”by Shanxi Province’s characteristic cultural education brand.
文摘A key strategy for raising students’humanistic aptitude is through music education.Culture is the soul of music and the source of innovation in music education.Under the current social education concept,it is advocated to carry forward excellent traditional and red culture in teaching,hence this paper further explores the path of integrating red culture into music education.The incorporation of the Taihang spirit,the most representative cultural resource in Shanxi,into music education in colleges and universities will promote the concept of Lide Shuren,further enhance students’training,and enable students to fulfill the dual education requirements.
文摘We study the dynamics of a two-electron atom interacting with a pulsed, elliptically polarized, ultrashort, excited coherent state. We use path integral methods and integrate on the photonic part. We angularly decompose the Coulomb interaction term of the two electrons and the interaction term of the two electrons with the photonic field and solve the sign problem. We give results on the survival probability of the ground state of Helium.
基金supported by the National Social Science Foundation of China under the General Program“Study on the Mechanism and Path of Creative Transformation of China’s Traditional Aesthetic Education Ideas in the New Development Stage”,Project No.21BKS083Key Project of 2022 Research on Higher Education Reform and Development of Nanjing University of Finance and Economics,“Thoughts and Paths on Empowering High-level University Construction with Party Building Aesthetics”,Project No.GJGF202203.
文摘Party construction aesthetics is a valuable aesthetic resource formed in the practical exploration of rural revitalization,and it has logical compatibility with ideological and political education in terms of concepts,goals,tasks,etc.At present,comprehensive deepening reform has entered a deep-water zone,and some erroneous value orientations such as utilitarianism,emptiness,and liberalization are common in colleges and universities,and ideological and political education is caught in a new round of difficulties.As the main position of ideological and political education,colleges and universities should further use party construction aesthetics to strengthen and improve ideological and political education,adhere to the carrier of aesthetic education,carry out diversified integrated education,broaden the ideological and political practical teaching system,build a long-term mechanism for collaborative education of ideological and political education and party construction aesthetics,and fully integrate party construction aesthetics into ideological and political education in colleges and universities.
文摘By elastic-plastic finite deformation finite element analysis (FEA), the conservation of J-integral is investigated in detail for a welded joint with an overmatchingweld in plane stress case. It is indicated that J-integral is path dependent under various conditions at least in the cases studied in this paper. Meanwhile, the above conclusions are verified by the hybrid method results in which combined Moire interferometry with FEA.
基金The project supported by National Natural Science Foundation of China under Grant No. 10675066 and K.C. Wong Magna Foundation in Ningbo University.
文摘In this paper we obtain a propagator of path integral for a harmonic oscillator and a driven harmonic oscillator by using the power series expansion. It is shown that our result for the harmonic oscillator is more exact than the previous one obtained with other approximation methods. By using the same method, we obtain a propagator of path integral for the driven harmonic oscillator, which does not have any exact expansion. The more exact propagators may improve the path integral results for these systems.
基金Project supported by the National Natural Science Foundation of China(Nos.12241205 and 12032019)the National Key Research and Development Program of China(No.2022YFA1203200)the Strategic Priority Research Program of Chinese Academy of Sciences(Nos.XDB0620101 and XDB0620103)。
文摘The initial stresses widely exist in elastic materials.While achieving a continuum stress-free configuration through compatible unloading is desirable,mechanical unloading alone frequently proves insufficient,posing challenges in avoiding virtual stress-free configurations.In this paper,we introduce a novel concept of equivalent temperature variation to counteract the incompatible initial strain.Our focus is on initially stressed cylindrical and spherical elastomers,where we first derive the Saint-Venant,Beltrami-Michell,and Volterra integral conditions in orthogonal curvilinear coordinates using the exterior differential form theory.It is shown that for any given axially or spherically distributed initial stress,an equivalent temperature variation always exists.Furthermore,we propose two innovative initial stress forms based on the steady-state heat conduction.By introducing an equivalent temperature variation,the initial stress can be released through a compatible thermo-mechanical unloading process,offering valuable insights into the constitutive theory of initially stressed elastic materials.
基金financed by Project of Heilongjiang Higher Education Society“Research on Graphics Curriculum Based on Innovation and Entrepreneurship Education under the Background of Digital Education”(23GJYB035)the 2024 Annual Planning Project of the“14th Five Year Plan”of Educational Science in Heilongjiang Province“Research and Exploration on Ideological and Political Teaching of‘Computer Graphics’Course under the Concept of OBE in New Engineering”(GJB1424113).
文摘In the context of the deep integration of digitalization and innovation and entrepreneurship education,this study focuses on the characteristics of schools and courses,investigates students’expectations and needs for ideological and political elements,and deeply explores ideological and political cases such as the Beidahuang spirit,Daqing spirit,model worker spirit,and role models around them.It explores the integration practice of“curriculum ideological and political”in extracurricular tutoring teaching of engineering graphics,aiming to guide students to establish patriotism,love for schools,knowledge of agriculture,and love for agriculture,and effectively enhance the coordinated development of students’graphic skills and ideological and political literacy.Practice has shown that integrating ideological and political resources,incorporating ideological and political elements into curriculum content and practical activities,can effectively enhance the collaborative development of students’graphic skills and ideological and political literacy.At the same time,it provides new ideas and references for expanding ideological and political education to extracurricular tutoring courses.
文摘A numerical scheme for the nonlinear behavior of structure under wind excitation is investigated. With the white noise filter of turbulent-wind fluctuations, the nonlinear motion equation of structures subjected to wind load was modeled as the Ito＇ s stochastic differential equation. The state vector associated with such a model is a diffusion process. A continuous linearization strategy in the time-domain was adopted. Based on the solution series of its stochastic linearization equations, the formal probabilistic density of the structure response was developed by the path integral technique. It is shown by the numerical example of a guyed mast that compared with the frequency-domain method and the time-domain nonlinear analysis, the proposed approach is highlighted by high accuracy and effectiveness. The influence of the structure non-linearity on the dynamic reliability assessment is also analyzed in the example.
基金This work was supported by the Key International(Regional)Joint Research Program of the National Natural Science Foundation of China(No.12120101002).
文摘In this paper,the path integral solutions for a general n-dimensional stochastic differential equa-tions(SDEs)withα-stable Lévy noise are derived and verified.Firstly,the governing equations for the solutions of n-dimensional SDEs under the excitation ofα-stable Lévy noise are obtained through the characteristic function of stochastic processes.Then,the short-time transition probability density func-tion of the path integral solution is derived based on the Chapman-Kolmogorov-Smoluchowski(CKS)equation and the characteristic function,and its correctness is demonstrated by proving that it satis-fies the governing equation of the solution of the SDE,which is also called the Fokker-Planck-Kolmogorov equation.Besides,illustrative examples are numerically considered for highlighting the feasibility of the proposed path integral method,and the pertinent Monte Carlo solution is also calculated to show its correctness and effectiveness.
基金Project(20091102110021)supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China
文摘In order to design the press bend forming path of aircraft integral panels,a novel optimization method was proposed, which integrates FEM equivalent model based on previous study,the artificial neural network response surface,and the genetic algorithm.First,a multi-step press bend forming FEM equivalent model was established,with which the FEM experiments designed with Taguchi method were performed.Then,the BP neural network response surface was developed with the sample data from the FEM experiments.Furthermore,genetic algorithm was applied with the neural network response surface as the objective function. Finally,verification was carried out on a simple curvature grid-type stiffened panel.The forming error of the panel formed with the optimal path is only 0.098 39 and the calculating efficiency has been improved by 77%.Therefore,this novel optimization method is quite efficient and indispensable for the press bend forming path designing.
基金Supported by the National Natural Science Foundation of China under Grant No.10805029ZheJiang NSF under Grant No.R6090717the K.C.Wong Magna Foundation of Ningbo University
文摘By using the path integral approach, we investigate the problem of Hooke＇s atom （two electrons interacting with Coulomb potential in an external harmonic-oscillator potential） in an arbitrary time-dependent electric field. For a certain infinite set of discrete oscillator frequencies, we obtain the analytical solutions. The ground state polarization of the atom is then calculated. The same result is also obtained through linear response theory.
基金Project supported by the National Natural Science Foundation of China （Grant No 60261004） and Yunnan Province Science Foundation （Grant No 2002E0008M）.
文摘We construct a general form of propagator in arbitrary dimensions and give an exact wavefunction of a time- dependent forced harmonic oscillator in D（D ≥ 1） dimensions. The coherent states, defined as the eigenstates of annihilation operator, of the D-dimensional harmonic oscillator are derived. These coherent states correspond to the minimum uncertainty states and the relation between them is investigated.
基金Project supported by CNEPRU(Grant No.D03920130021)
文摘We obtain analytical expressions for the energy eigenvalues of both the Schioberg and Eckart potentials using an approximation of the centrifugal term. In order to determine the l-states solutions, we use the Feynman path integral approach to quantum mechanics. We show that by performing nonlinear space-time transformations in the radial path integral, we can derive a transformation formula that relates the original path integral to the Green function of a new quantum solvable system. The explicit expression of bound state energy is obtained and the associated eigenfunctions are given in terms of hypergeometric functions. We show that the Eckart potential can be derived from the Schioberg potential. The obtained results are compared to those produced by other methods and are found to be consistent.
基金Supported by the National Basic Research Program of China (973 Program) under Grant No. G2009CB929300the National Natural Science Foundation of China under Grant Nos. 10905016,10874013,60776061 and 60821061
文摘Quantum measurement problem has existed many years and inspired a large of literature in both physics and philosophy,but there is still no conclusion and consensus on it.We show it can be subsumed into the quantum theory if we extend the Feynman path integral by considering the relativistic effect of Feynman paths.According to this extended theory,we deduce not only the Klein-Gordon equation,but also the wave-function-collapse equation.It is shown that the stochastic and instantaneous collapse of the quantum measurement is due to the "potential noise" of the apparatus or environment and "inner correlation" of wave function respectively.Therefore,the definite-status of the macroscopic matter is due to itself and this does not disobey the quantum mechanics.This work will give a new recognition for the measurement problem.
