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Magneto-Electro-Elastic Analysis of Doubly-Curved Shells: Higher-Order Equivalent Layer-Wise Formulation
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作者 Francesco Tornabene Matteo Viscoti Rossana Dimitri 《Computer Modeling in Engineering & Sciences》 2025年第2期1767-1838,共72页
Recent engineering applications increasingly adopt smart materials,whose mechanical responses are sensitive to magnetic and electric fields.In this context,new and computationally efficient modeling strategies are ess... Recent engineering applications increasingly adopt smart materials,whose mechanical responses are sensitive to magnetic and electric fields.In this context,new and computationally efficient modeling strategies are essential to predict the multiphysic behavior of advanced structures accurately.Therefore,the manuscript presents a higher-order formulation for the static analysis of laminated anisotropic magneto-electro-elastic doubly-curved shell structures.The fundamental relations account for the full coupling between the electric field,magnetic field,and mechanical elasticity.The configuration variables are expanded along the thickness direction using a generalized formulation based on the Equivalent Layer-Wise approach.Higher-order polynomials are selected,allowing for the assessment of prescribed values of the configuration variables at the top and bottom sides of solids.In addition,an effective strategy is provided for modeling general surface distributions of mechanical pressures and electromagnetic external fluxes.The model is based on a continuum-based formulation which employs an analytical homogenization of the multifield material properties,based on Mori&Tanaka approach,of a magneto-electro-elastic composite material obtained from a piezoelectric and a piezomagnetic phase,with coupled magneto-electro-elastic effects.A semi-analytical Navier solution is applied to the fundamental equations,and an efficient post-processing equilibrium-based procedure is here used,based on the numerical assessment with the Generalized Differential Quadrature(GDQ)method,to recover the response of three-dimensional shells.The formulation is validated through various examples,investigating the multifield response of panels of different curvatures and lamination schemes.An efficient homogenization procedure,based on the Mori&Tanaka approach,is employed to obtain the three-dimensional constitutive relation of magneto-electro-elastic materials.Each model is validated against three-dimensional finite-element simulations,as developed in commercial codes.Furthermore,the full coupling effect between the electric and magnetic response is evaluated via a parametric investigation,with useful insights for design purposes of many engineering applications.The paper,thus,provides a formulation for the magneto-electro-elastic analysis of laminated structures,with a high computational efficiency,since it provides results with three-dimensional capabilities with a two-dimensional formulation.The adoption of higher-order theories,indeed,allows us to efficiently predict not only the mechanical response of the structure as happens in existing literature,but also the through-the-thickness distribution of electric and magnetic variables.A novel higher-order theory has been proposed in this work for the magneto-electro-elastic analysis of laminated shell structures with varying curvatures.This theory employs a generalized method to model the distribution of the displacement field components,electrostatic,and magneto-static potential,accounting for higher-order polynomials.The thickness functions have been defined to prescribe the arbitrary values of configuration variables at the top and bottom surfaces,even though the model is ESL-based.The fundamental governing equations have been derived in curvilinear principal coordinates,considering all coupling effects among different physical phenomena,including piezoelectric,piezomagnetic,and magneto-electric effects.A homogenization algorithm based on a Mori&Tanaka approach has been adopted to obtain the equivalent magneto-electro-mechanical properties of a two-phase transversely isotropic composite.In addition,an effective method has been adopted involving the external loads in terms of surface tractions,as well as the electric and magnetic fluxes.In the post-processing stage,a GDQ-based procedure provides the actual 3D response of a doubly-curved solid.The model has been validated through significant numerical examples,showing that the results of this semi-analytical theory align well with those obtained from 3D numerical models from commercial codes.In particular,the accuracy of the model has been verified for lamination schemes with soft layers and various curvatures under different loading conditions.Moreover,this formulation has been used to predict the effect of combined electric and magnetic loads on the mechanical response of panels with different curvatures and lamination schemes.As a consequence,this theory can be applied in engineering applications where the combined effect of electric and magnetic loads is crucial,thus facilitating their study and design.An existing limitation of this study is that the solution is that it is derived only for structures with uniform curvature,cross-ply lamination scheme,and simply supported boundary conditions.Furthermore,it requires that each lamina within the stacking sequence exhibits magneto-electro-elastic behavior.Therefore,at the present stage,it cannot be used for multifield analysis of classical composite structures with magneto-electric patches.A further enhancement of the research work could be the derivation of a solution employing a numerical technique,to overcome the limitations of the Navier method.In this way,the same theory may be adopted to predict the multifield response of structures with variable curvatures and thickness,as well as anisotropic materials and more complicated boundary conditions.Acknowledgement:The authors are grateful to the Department of Innovation Engineering of Univer-sity of Salento for the support. 展开更多
关键词 Magneto-electro-elastic materials equivalent layer-wise generalized differential quadrature higher-order theories navier solution recovery procedure smart structures
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Hygro-Thermo-Mechanical Equivalent Layer-Wise Theory of Laminated Shell Structures
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作者 Francesco Tornabene Matteo Viscoti Rossana Dimitri 《Computer Modeling in Engineering & Sciences》 2025年第2期1697-1765,共69页
This study presents a generalized two-dimensional model for evaluating the stationary hygro-thermo-mechanical response of laminated shell structures made of advanced materials.It introduces a generalized kinematic mod... This study presents a generalized two-dimensional model for evaluating the stationary hygro-thermo-mechanical response of laminated shell structures made of advanced materials.It introduces a generalized kinematic model,enabling the assessment of arbitrary values of temperature variation and mass concentration variation for the unvaried configuration at the top and bottom surfaces.This is achieved through the Equivalent Layer-Wise description of the unknown field variable using higher-order polynomials and zigzag functions.In addition,an elastic foundation is modeled utilizing the Winkler-Pasternak theory.The fundamental equations,derived from the total free energy of the system,are solved analytically using Navier’s method.Then,the Fourier-based generalized differential quadrature numerical method is adopted to efficiently recover the through-the-thickness distribution of secondary variables in agreement with the hygro-thermal loading conditions.The formulation is applied in some examples of investigation where the response of panels of different curvature and lamination schemes is evaluated under external hygro-thermal fluxes and prescribed values of temperature and moisture concentration.In addition,this study investigates the effect of the hygro-thermal coupling due to Dufour and Soret effect.The present formulation is verified to be a valuable tool for reducing computational effort and determining the effect on the mechanical response of laminated structures in a thermal and hygrometric environment. 展开更多
关键词 Dufour and Soret effects equivalent layer-wise hygro-thermal analysis generalized differential quadrature Navier solution smart structures
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Five-dimensional teleparallel theory equivalent to general relativity,the axially symmetric solution,energy and spatial momentum
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作者 Gamal G.L.Nashed 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第11期102-109,共8页
A theory of (4+1)-dimensional gravity is developed on the basis of the teleparallel theory equivalent to general relativity. The fundamental gravitational field variables are the five-dimensional vector fields (pe... A theory of (4+1)-dimensional gravity is developed on the basis of the teleparallel theory equivalent to general relativity. The fundamental gravitational field variables are the five-dimensional vector fields (pentad), defined globally on a manifold M, and gravity is attributed to the torsion. The Lagrangian density is quadratic in the torsion tensor. We then give the exact five-dimensional solution. The solution is a generalization of the familiar Schwarzschild and Kerr solutions of the four-dimensional teleparallel equivalent of general relativity. We also use the definition of the gravitational energy to calculate the energy and the spatial momentum. 展开更多
关键词 five-dimensional teleparallel equivalent of general relativity five-dimensional solution energy and spatial momentum
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Spherically symmetric solution in higher-dimensional teleparallel equivalent of general relativity
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作者 Gamal G.L.Nashed 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第2期120-127,共8页
A theory of(N+1)-dimensional gravity is developed on the basis of the teleparallel equivalent of general relativity(TEGR).The fundamental gravitational field variables are the(N+1)-dimensional vector fields,de... A theory of(N+1)-dimensional gravity is developed on the basis of the teleparallel equivalent of general relativity(TEGR).The fundamental gravitational field variables are the(N+1)-dimensional vector fields,defined globally on a manifold M,and the gravitational field is attributed to the torsion.The form of Lagrangian density is quadratic in torsion tensor.We then give an exact five-dimensional spherically symmetric solution(Schwarzschild(4+1)-dimensions).Finally,we calculate energy and spatial momentum using gravitational energy-momentum tensor and superpotential 2-form. 展开更多
关键词 (N+1)-dimensional teleparallel equivalent of general relativity five-dimensional solution energy and momentum
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Evaluation of Pitting Behavior on Solution Treated Duplex Stainless Steel UNS S31803 被引量:5
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作者 Yiming Jiang Tao Sun +1 位作者 Jin Li Jie Xu 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2014年第2期179-183,共5页
The pitting corrosion resistance of duplex stainless steels UNS S31803 annealed at different temperatures ranging from 1050 ℃ to 1200 ℃ for 24 h has been investigated by means of potentiostatic critical pitting temp... The pitting corrosion resistance of duplex stainless steels UNS S31803 annealed at different temperatures ranging from 1050 ℃ to 1200 ℃ for 24 h has been investigated by means of potentiostatic critical pitting temperature (CPT). The microstructural evolution and pit morphologies of the specimens were studied through optical microscopy and scanning electron microscopy. The potentiostatic CPT measurements show that the CPT was elevated with the annealing temperature increased from 1050 ℃ to 1150℃ and decreased as the temperature further increased to 1200 ℃. The specimens annealed at 1150 ℃ exhibited the highest CPTand the best pitting corrosion resistance. The pit morphologies show that the pit initiation sites transfer from austenite phase to ferrite phase as the annealing temperature increases. The results were explained by the variation of pitting resistance equivalent number (PREN) of ferrite and austenite phases as the annealing temperature was varied. 展开更多
关键词 Duplex stainless steel solution treatment Pitting corrosion Critical pitting temperature Pitting resistance equivalent number
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3D elastic waveform modeling with an optimized equivalent staggered-grid finite-difference method 被引量:6
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作者 Qiang Zou Jian-Ping Huang +1 位作者 Peng Yong Zhen-Chun Li 《Petroleum Science》 SCIE CAS CSCD 2020年第4期967-989,共23页
Equivalent staggered-grid(ESG) as a new family of schemes has been utilized in seismic modeling,imaging,and inversion.Traditionally,the Taylor series expansion is often applied to calculate finite-difference(FD) coeff... Equivalent staggered-grid(ESG) as a new family of schemes has been utilized in seismic modeling,imaging,and inversion.Traditionally,the Taylor series expansion is often applied to calculate finite-difference(FD) coefficients on spatial derivatives,but the simulation results suffer serious numerical dispersion on a large frequency zone.We develop an optimized equivalent staggered-grid(OESG) FD method that can simultaneously suppress temporal and spatial dispersion for solving the second-order system of the 3 D elastic wave equation.On the one hand,we consider the coupling relations between wave speeds and spatial derivatives in the elastic wave equation and give three sets of FD coefficients with respect to the P-wave,S-wave,and converted-wave(C-wave) terms.On the other hand,a novel plane wave solution for the 3 D elastic wave equation is derived from the matrix decomposition method to construct the time-space dispersion relations.FD coefficients of the OESG method can be acquired by solving the new dispersion equations based on the Newton iteration method.Finally,we construct a new objective function to analyze P-wave,S-wave,and C-wave dispersion concerning frequencies.The dispersion analyses show that the presented method produces less modeling errors than the traditional ESG method.The synthetic examples demonstrate the effectiveness and superiority of the presented method. 展开更多
关键词 3D elastic wave equation Optimized equivalent staggered-grid Numerical dispersion Newton iteration method Plane wave solution
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AN EQUIVALENT PROPOSITION TO THE CONJECTURE OF GOLDBACH
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作者 王友菁 刘宗杰 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 1999年第1期93-95,共3页
In this paper,a formula is given. The formula gives the number of prime number solutions of the indefinite equation p 1+p 2=2n , and based on it, an equivalent proposition to the conjecture of Goldbach is obtained.
关键词 prime numbers indefinite equation prime number solution conjecture of Goldbach equivalent proposition
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Cosmological application on five-dimensional teleparallel theory equivalent to general relativity
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作者 Gamal G.L.Nashed 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第10期122-129,共8页
A theory of(4+1)-dimensional gravity has been developed on the basis of which equivalent to the theory of general relativity by teleparallel.The fundamental gravitational field variables are the 5-dimensional(5D)... A theory of(4+1)-dimensional gravity has been developed on the basis of which equivalent to the theory of general relativity by teleparallel.The fundamental gravitational field variables are the 5-dimensional(5D) vector fields(pentad),defined globally on a manifold M,and gravity is attributed to the torsion.The Lagrangian density is quadratic in the torsion tensor.We then apply the field equations to two different homogenous and isotropic geometric structures which give the same line element,i.e.,FRW in five dimensions.The cosmological parameters are calculated and some cosmological problems are discussed. 展开更多
关键词 5D teleparallel equivalent of general relativity 5D solutions cosmological parameters cosmological problems
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Exact Solutions for a Class of Nonlinear PDE with Variable Coefficients Using ET and ETEM
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作者 Shifei Sun Lina Chang Hanze Liu 《Journal of Applied Mathematics and Physics》 2019年第11期2685-2700,共16页
In this article, by using the modified CK direct method, we give a relationship between the generalized fifth-order KDV equations with variable coefficients and the corresponding constant coefficients ones. Then, we c... In this article, by using the modified CK direct method, we give a relationship between the generalized fifth-order KDV equations with variable coefficients and the corresponding constant coefficients ones. Then, we construct the abundant travelling solutions by the extended trial equation method (ETEM) in terms of different functions, such as the elliptic functions, rational functions, hyperbolic functions and trigonometric functions. The extended trial equation method is powerful and can be used to other partial differential equations and more research can be done by this method. 展开更多
关键词 equivalENCE Transformation EXTEND trial EQUATION Method Higher Order Partial Differential EQUATION TRAVELLING Wave solution
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Improvement of the Corrosion Resistance of High Alloyed Austenitic Cr-Ni-Mo Stainless Steels by Solution Nitriding
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作者 Christine Eckstein Heinz- Joachim Spies Jochen Albrecht 《材料热处理学报》 EI CAS CSCD 北大核心 2004年第5期316-321,共6页
Characteristic features of austenitic steel grades combine a good corrosion resistance with a low hardness, wear resistance and scratch resistance. An interesting possibility for improving the wear behaviour of these ... Characteristic features of austenitic steel grades combine a good corrosion resistance with a low hardness, wear resistance and scratch resistance. An interesting possibility for improving the wear behaviour of these steels without loss of their corrosion resistance lies in enriching the near surface region with nitrogen. The process of a solution nitriding allows the rise of the solution of nitrogen in the solid phase. On this state nitrogen increases the corrosion resistance and the tribilogical load-bearing capacity. The aim of the study was, to investigate the improvement of the pitting corrosion behaviour by solution nitriding. A special topic was to observe the effect of nitrogen by different molybdenum content. So austenitic stainless steels (18% Cr, 12% Ni, Mo gradation between 0.06 to 3.6%) had been solution nitrided. The samples could be prepared with various surface content of nitrogen from 0.04 to 0.45% with a step-by-step grinding. The susceptibility against pitting corrosion of these samples had been tested by determination of the stable pitting potential in 0.5M and 1M NaCl at 25°C. For the investigated steel composition and the used corrosion system there is no influence of molybdenum on the effectiveness of nitrogen. The influence of nitrogen to all of the determined parameters can be described well by PRE = Cr + 3,3 * Mo + 25 *N. XPS analysis of the sample surfaces support the results of the pitting corrosion tests.Additionally surface investigations with an acid elektolyte (0,1M HC1 + 0,4M NaCl) were performed. In this case the passivation effective nitrogen content increases markedly with rising molybdenum concentration of the steel. Obviously an interaction of Mo and N is connected with a strongly acid electrolyte. 展开更多
关键词 耐蚀性 奥氏体不锈钢 CR-NI-MO 渗氮 PRE 稳定点蚀电位
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具有超高强度和良好塑性匹配的Al-Zn-Mg-Cu合金设计与研究
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作者 王艳晶 张文东 +3 位作者 徐再东 徐荣正 马寰宸 唐津浓 《稀有金属材料与工程》 北大核心 2025年第8期2062-2070,共9页
根据Zn、Mg和Cu元素在Al中的固溶度设计了一种Al-8Zn-3Mg-1.05Cu合金。对热轧后的板材进行固溶处理。SEM和XRD结果表明,经过固溶处理后获得了仅有少量化合物残留的固溶体组织。进一步对合金冷轧以及轧后固溶和时效处理,冷轧固溶后的EBS... 根据Zn、Mg和Cu元素在Al中的固溶度设计了一种Al-8Zn-3Mg-1.05Cu合金。对热轧后的板材进行固溶处理。SEM和XRD结果表明,经过固溶处理后获得了仅有少量化合物残留的固溶体组织。进一步对合金冷轧以及轧后固溶和时效处理,冷轧固溶后的EBSD结果表明,此时合金获得了未完全再结晶的组织,局部取向差(KAM)图表明未完全再结晶区域的位错密度较高。经过固溶后的合金拉伸性能良好,屈服强度和延伸率分别为458.61 MPa和15.6%。TEM结果表明,经过时效处理后的合金组织中析出了大量细小的MgZn_(2)相,平均尺寸约为6.40 nm,该尺寸小于报道的该类合金中MgZn_(2)析出相的尺寸。时效后合金获得了超高的强度和良好的塑性,屈服强度和延伸率分别为729 MPa和10.37%。对合金的强度组成进行了计算,其中细小MgZn_(2)相的析出强化贡献值为348.48 MPa,计算屈服强度值与实验值匹配良好。 展开更多
关键词 固溶度当量 冷轧 固溶时效 强度贡献
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深埋隧道掌子面前方地层三维渗流场解析及涌水量预测分析
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作者 姜启武 黄明 +2 位作者 陈志杰 宋卿 杜广召 《工程地质学报》 北大核心 2025年第4期1522-1530,共9页
隧道开挖面前方水压力和涌水量是隧道工程的重要参数,而二维渗流场理论无法较好地预测隧道开挖面前方三维渗流场的水压力和涌水量。本文基于半球面渗流模型,考虑隧道开挖损伤的影响,应用轴对称法推导了山岭隧道在不同注浆形式下开挖面... 隧道开挖面前方水压力和涌水量是隧道工程的重要参数,而二维渗流场理论无法较好地预测隧道开挖面前方三维渗流场的水压力和涌水量。本文基于半球面渗流模型,考虑隧道开挖损伤的影响,应用轴对称法推导了山岭隧道在不同注浆形式下开挖面前方地层的三维渗流场解析解,并提出了适用于非球状超前注浆体隧道的等效球面积法和等效球体积法两种等代球方法,而后对隧道开挖面涌水量的超前注浆参数展开敏感性分析,确定了开挖面超前注浆的合理参数,最后对减少隧道涌水量的方法展开讨论。结果表明:隧道三维渗流计算模型能较好地反映隧道开挖面前方的涌水量,等效球面积法在圆柱状注浆体隧道中的适用性最高,等效球体积法次之;隧道开挖面涌水量随损伤相对渗透系数的增大而减小,且随着损伤厚度的增大,开挖面涌水量随损伤相对渗透系数的变化越敏感;当超前注浆相对渗透系数k_(m)/k_(g)达到100时,超前注浆相对厚度d_(g)/r_(2)达到1.0时,为安全合理的超前注浆参数。本研究成果能为隧道超前注浆设计提供一定的理论指导。 展开更多
关键词 三维渗流场 解析解 涌水量 隧道 等效球面积法 等效球体积法
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测量液相扩散系数的新方法——等浓度薄层移动法
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作者 杨瑞琴 耿柏琳 +2 位作者 李原 梁芯 孟伟东 《应用光学》 北大核心 2025年第2期253-259,共7页
液相扩散系数是研究传质过程、计算传质速率以及化工设计与开发的重要基础数据。现有测量液相扩散系数的方法在测量精度、适用范围等方面都存在一定的局限性,因此提出一种基于液芯柱透镜快速测量液相扩散系数的新方法——等浓度薄层移... 液相扩散系数是研究传质过程、计算传质速率以及化工设计与开发的重要基础数据。现有测量液相扩散系数的方法在测量精度、适用范围等方面都存在一定的局限性,因此提出一种基于液芯柱透镜快速测量液相扩散系数的新方法——等浓度薄层移动法。该方法利用具有空间浓度分辨测量能力的液芯柱透镜作为扩散池和成像元件,只需记录实验图像中某一固定浓度薄层(固定图像宽度)随时间的变化情况,基于Fick第二定律即可计算得到液相扩散系数。在室温(25℃)下,用该方法测量了氯化钾水溶液的扩散系数为1.8049×10^(−5)cm^(2)/s。同时研究了不同浓度薄层的选取对测量结果的影响,发现选取薄层浓度<0.16 mol/L时,计算的液相扩散系数较为稳定;选取薄层浓度≧0.17 mol/L时,扩散系数随所选浓度薄层的增大而增大。用该方法测量扩散系数时,一次实验可同时选取多个浓度薄层计算液相扩散系数,具有实验操作简单、测量时间短、测量结果精确等特点。 展开更多
关键词 液相扩散系数 等浓度薄层移动 液芯柱透镜 氯化钾水溶液
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Impact of stress on solute transport in a fracture network: A comparison study 被引量:7
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作者 Zhihong Zhao Jonny Rutqvist +9 位作者 Colin Leung Milan Hokr Quansheng Liu Ivars Neretnieks Andrew Hoch Jirí Havlíek Yuan Wang Zhen Wang Yuexiu Wu Robert Zimmerman 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2013年第2期110-123,共14页
This paper compares numerical modeling of the effect of stress on solute transport (advection and matrix diffusion) in fractured rocks in which fracture apertures are correlated with fracture lengths. It is mainly m... This paper compares numerical modeling of the effect of stress on solute transport (advection and matrix diffusion) in fractured rocks in which fracture apertures are correlated with fracture lengths. It is mainly motivated by the performance and safety assessments of underground radioactive waste repositories. Five research teams used different approaches to model stress/deformation, flow and transport pro- cesses, based on either discrete fracture network or equivalent continuum models. The simulation results derived by various teams generally demonstrated that rock stresses could significantly influence solute transport processes through stress-induced changes in fracture apertures and associated changes in per- meability. Reasonably good agreement was achieved regarding advection and matrix diffusion given the same fracture network, while some observed discrepancies could be explained by different mechanical or transport modeling approaches. 展开更多
关键词 Fractured rocks solute transport Discrete element method equivalent continuum Dual-porosity model Particle tracking method
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Applying Functional Equivalence Theory in Translating the Introduction to Scenic Spots
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作者 鲍亮 《海外英语》 2016年第11期163-164,共2页
Since we have entered in the 21 st century, the economy of the whole world has experienced a process of transformation and upgrading, the outstanding performance is the proportion of the third industry in the national... Since we have entered in the 21 st century, the economy of the whole world has experienced a process of transformation and upgrading, the outstanding performance is the proportion of the third industry in the national economy, and the third industry's contribution to the national economy is growing. Since our government has taken the reform and opening up policy,they attach great importance to the development of the third industry in our country. After more than 30 years of reform and opening- up,the development of tourism industry, also be called the"Smokeless Industry", has been given priority within the booming third industry. There is no doubt that tourism has a bright development prospect. With the rapid development of economy and the deepening of the opening degree, there will be more and more foreigners coming to China for sightseeing. Under this big background, the high quality English introduction of tourist attractions is in great demand. This article is aimed at exploring the practical value of functional equivalence applying to the translation of scenic spots introduction, and provides some feasible solution for tourism translation. 展开更多
关键词 Functional equivalENCE Theory TRANSLATION of TOURIST ATTRACTIONS INTRODUCTION TRANSLATION Methods So
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纵向槽钢和轴力共同作用的盾构隧道等效刚度解析解
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作者 江学辉 颜建伟 +2 位作者 罗文俊 刘天宇 徐长节 《岩土工程学报》 EI CAS CSCD 北大核心 2024年第10期2166-2173,共8页
为准确快速地预测纵向槽钢加固技术对盾构隧道等效刚度的影响,开展了纵向槽钢加固技术的理论研究。解析地提出了纵向槽钢和纵向轴力耦合作用的盾构隧道等效刚度理论解,并与经典理论、模型试验和数值模拟对比验证了本方法的可靠性。结果... 为准确快速地预测纵向槽钢加固技术对盾构隧道等效刚度的影响,开展了纵向槽钢加固技术的理论研究。解析地提出了纵向槽钢和纵向轴力耦合作用的盾构隧道等效刚度理论解,并与经典理论、模型试验和数值模拟对比验证了本方法的可靠性。结果表明盾构隧道的中性轴φ随槽钢、纵向轴压力的增加而减小,其大小直接改变了隧道管片间的接触状态,从而影响了隧道的等效刚度;盾构隧道的等效刚度与纵向轴压力呈S曲线正相关,与弯矩呈非线性反相关,与隧道管片宽度、槽钢截面面积、数量、弹性模量呈线性正比关系;盾构隧道的等效刚度贡献大小顺序依次为纵向槽钢数量、截面面积、弹性模量。从理论上诠释了纵向槽钢等敏感性参数对隧道等效刚度的影响机理,可准确快速地预测纵向槽钢加固效果。 展开更多
关键词 纵向槽钢 纵向轴力 解析解 盾构隧道 等效刚度
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考虑损伤效应的隧道二维渗流场解析及涌水量预测 被引量:1
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作者 高启程 姜启武 +1 位作者 陈志杰 赖鹏安 《人民长江》 北大核心 2024年第10期197-204,211,共9页
隧道圆周面涌水量是隧道工程的重要参数,以往研究未考虑隧道开挖损伤因素对渗流场的影响,而隧道施工会对围岩造成一定程度的损伤。考虑隧道开挖损伤的影响,推导了径向未注浆、径向欠注浆及径向完全注浆3种不同径向注浆型式下的隧道二维... 隧道圆周面涌水量是隧道工程的重要参数,以往研究未考虑隧道开挖损伤因素对渗流场的影响,而隧道施工会对围岩造成一定程度的损伤。考虑隧道开挖损伤的影响,推导了径向未注浆、径向欠注浆及径向完全注浆3种不同径向注浆型式下的隧道二维渗流场理论解析解,而后对隧道渗流场理论解析研究中常用的两种等代圆方法在矩形隧道中的适用性展开了探讨,并对隧道圆周面涌水量及衬砌外水压力的径向注浆参数展开敏感性分析,最后将隧道二维渗流场理论解析解与数值解对比。结果表明:隧道二维渗流计算模型能较好地反映隧道圆周面的涌水量;开挖损伤对隧道圆周面涌水量有着较为显著的影响,对初支施作前的影响最大,对二衬施作后的影响程度最小;当径向注浆相对渗透系数k m/k g达到100,径向注浆相对厚度d g达到1.0倍的隧道内径r 0时,继续增大k m/k g或d g/r 0对降低隧道圆周面涌水量Q和拱顶衬砌外水压力p的效益将不再明显。研究成果可为不良地质岩层隧道的径向注浆设计提供一定的理论指导。 展开更多
关键词 隧道二维渗流场 解析解 涌水量 等效周长法 等效面积法
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基于荷载等效理论的柱体结构剪切变形解析 被引量:1
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作者 赵立财 《振动.测试与诊断》 EI CSCD 北大核心 2024年第5期1023-1031,1044,共10页
为了提高具有铁木辛科梁性质的柱体结构剪切变形的计算效率和精度,基于荷载等效分布理论、节点解析法以及具有正交内插特性的铁木辛柯梁理论,提出了一种高效求解梁柱节点剪切变形位移的等效分布荷载-有限元算法,并通过研究2种工况算例... 为了提高具有铁木辛科梁性质的柱体结构剪切变形的计算效率和精度,基于荷载等效分布理论、节点解析法以及具有正交内插特性的铁木辛柯梁理论,提出了一种高效求解梁柱节点剪切变形位移的等效分布荷载-有限元算法,并通过研究2种工况算例验证了算法的可靠性。结果表明:该算法利用非常少的单元(1个或2个单元)便可以获得位移、旋转角、剪切力和弯矩的高精度近似解;其他基于位移的方法,如简化积分法,大约需要40个单元才能获得类似的结果。所提方法可以在不同的连接条件下直接获得铁木辛柯梁柱的稳定函数和弯曲荷载,有效提高了柱体结构剪切变形有限元分析解的精确性。 展开更多
关键词 有限元法 精确节点解 等效分布荷载 铁木辛柯梁柱 弯曲荷载
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强夯加固粉土地基的竖向附加动应力传递特性 被引量:2
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作者 孙逸玮 《交通科学与工程》 2024年第1期16-27,共12页
强夯法在各类地基处理项目中得到了广泛应用,但其加固机理仍落后于实践,特别是强夯引起的地基内部竖向附加动应力传递特性。鉴于此,先基于Boussinesq应力解和动量定理推导强夯竖向附加动应力和附加剪应力拟静力解。然后,以新疆维吾尔自... 强夯法在各类地基处理项目中得到了广泛应用,但其加固机理仍落后于实践,特别是强夯引起的地基内部竖向附加动应力传递特性。鉴于此,先基于Boussinesq应力解和动量定理推导强夯竖向附加动应力和附加剪应力拟静力解。然后,以新疆维吾尔自治区乌鲁木齐市机场北区扩建项目为工程背景,运用夯锤速度法,模拟1000~4000 kN·m能级间强夯引起的动力波传播过程、竖向附加动应力传递特性和夯后土体位移场。最后,将拟静力解与动力数值解的计算结果进行对比分析。研究结果表明:强夯引起的动力波传播呈半圆弧形,竖向附加动应力传递呈半椭圆形。动力波的传播距离决定了强夯影响范围,竖向附加动应力显著区边界决定了强夯有效加固区。由拟静力解得到的竖向附加动应力相比数值解沿深度方向的衰减更快。该研究结果可为强夯法地基处理工程提供重要参考。 展开更多
关键词 强夯法 地基处理 竖向附加动应力 等效拟静力解 数值模拟
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氯化钾溶液电化学阻抗测量过程中的等效电路模型研究
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作者 李敏言 袁朝庆 +2 位作者 齐奕铭 祁园园 王俊涛 《大学物理实验》 2024年第4期37-42,共6页
等效电路模型是溶液电化学阻抗测量过程中研究其复杂物理化学过程的重要手段,在溶液电导率测量仪等设备的工程技术研发中具有重要的应用。本文选取氯化钾溶液为研究对象,使用电化学工作站和铂黑平行双电极测量0.01 mol/L至1 mol/L氯化... 等效电路模型是溶液电化学阻抗测量过程中研究其复杂物理化学过程的重要手段,在溶液电导率测量仪等设备的工程技术研发中具有重要的应用。本文选取氯化钾溶液为研究对象,使用电化学工作站和铂黑平行双电极测量0.01 mol/L至1 mol/L氯化钾溶液的阻抗谱,采用Lima和Randles两种等效电路模型对测量结果进行拟合并对比两个模型的精度。基于测量过程中不同频段下溶液的导电物理化学机制不同的事实,对测量结果进行分频段模拟以进一步提高模拟精度,并在Lima和Randles等效电路模型的基础上简化出高频等效电路模型。采用高频等效电路模型对在高频下不同浓度溶液的电导率测量结果进行模拟,对比并分析了浓度不同所引起的溶液内物理化学过程的差异。 展开更多
关键词 等效电路模型 氯化钾溶液 电化学阻抗谱 电导率
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