期刊文献+
共找到201篇文章
< 1 2 11 >
每页显示 20 50 100
Size Effect of Flow Stress in CoCrNi Medium Entropy Alloy Ultrathin Strips
1
作者 Zhi Hui Hou Jinxiong +3 位作者 Ma Shengguo Wang Tao Wang Zhihua Huang Qingxue 《稀有金属材料与工程》 北大核心 2025年第10期2494-2500,共7页
A constitutive model considering the size effect was established to investigate the behavior of CoCrNi medium entropy alloy ultrathin strip in different deformation stages during the uniaxial quasi-static tensile test... A constitutive model considering the size effect was established to investigate the behavior of CoCrNi medium entropy alloy ultrathin strip in different deformation stages during the uniaxial quasi-static tensile test.Results show that when the t/d value is lower than 10.62,the CoCrNi alloy ultrathin strip shows an obvious size-dependent property in the elastic deformation stage.With the decrease in t/d value,the volume fraction of the surface layer grains is increased,leading to the linear decrease in flow stress.In the plastic deformation stage,the material stiffness is correlated with the t/d value.Specifically,as the t/d value increases,the work-hardening capacity of the material is enhanced.When the t/d value increases to 10,the work-hardening capacity reaches a maximum state;when the t/d value is beyond 10,the work-hardening capacity weakens. 展开更多
关键词 medium-entropy alloy ultrathin strip size effect flow stress plastic stiffness
原文传递
Feasibility of Using Optimal Control Theory and Training-Performance Model to Design Optimal Training Programs for Athletes
2
作者 Yi Yang Che-Yu Lin 《Computer Modeling in Engineering & Sciences》 2025年第6期2767-2783,共17页
In order to help athletes optimize their performances in competitions while prevent overtraining and the risk of overuse injuries,it is important to develop science-based strategies for optimally designing training pr... In order to help athletes optimize their performances in competitions while prevent overtraining and the risk of overuse injuries,it is important to develop science-based strategies for optimally designing training programs.The purpose of the present study is to develop a novel method by the combined use of optimal control theory and a training-performance model for designing optimal training programs,with the hope of helping athletes achieve the best performance exactly on the competition day while properly manage training load during the training course for preventing overtraining.The training-performance model used in the proposed optimal control framework is a conceptual extension of the Banister impulse-response model that describes the dynamics of performance,training load(served as the control variable),fitness(the overall positive effects on performance),and fatigue(the overall negative effects on performance).The objective functional of the proposed optimal control framework is to maximize the fitness and minimize the fatigue on the competition day with the goal of maximizing the performance on the competition day while minimizing the cumulative training load during the training course.The Forward-Backward Sweep Method is used to solve the proposed optimal control framework to obtain the optimal solutions of performance,training load,fitness,and fatigue.The simulation results show that the performance on the competition day is higher while the cumulative training load during the training course is lower with using optimal control theory than those without,successfully showing the feasibility and benefits of using the proposed optimal control framework to design optimal training programs for helping athletes achieve the best performance exactly on the competition day while properly manage training load during the training course for preventing overtraining.The present feasibility study lays the foundation of the combined use of optimal control theory and training-performance models to design personalized optimal training programs in real applications in athletic training and sports science for helping athletes achieve the best performances in competitions while prevent overtraining and the risk of overuse injuries. 展开更多
关键词 Banister impulse-response model athletic training and performance coaching education physical fitness sports science computational and mathematical modeling
在线阅读 下载PDF
Modeling and mechanism of vibration reduction of pipes by visco-hyperelastic materials
3
作者 Jie JING Xiaoye MAO +2 位作者 Hu DING Honggang LI Liqun CHEN 《Applied Mathematics and Mechanics(English Edition)》 2025年第6期1029-1048,共20页
Pipes have been extensively utilized in the aerospace,maritime,and other engineering sectors.However,the vibrations of pipes can significantly affect the system reliability and even lead to accidents.Visco-hyperelasti... Pipes have been extensively utilized in the aerospace,maritime,and other engineering sectors.However,the vibrations of pipes can significantly affect the system reliability and even lead to accidents.Visco-hyperelastic materials can enhance the dissipative effect,and reduce the vibrations of pipes.However,the mechanism based on the constitutive model for visco-hyperelastic materials is not clear.In this study,the damping effect of a visco-hyperelastic material on the outer surface of a plain steel pipe is investigated.The nonlinear constitutive relation of the visco-hyperelastic material is introduced into the governing equation of the system for the first time.Based on this nonlinear constitutive model,the governing model for the forced vibration analysis of a simply-supported laminated pipe is established.The Galerkin method is used to analyze the effects of the visco-hyperelastic parameters and structural parameters on the natural characteristics of the fluid-conveying pipes.Subsequently,the harmonic balance method(HBM)is used to investigate the forced vibration responses of the pipe.Finally,the differential quadrature element method(DQEM)is used to validate these results.The findings demonstrate that,while the visco-hyperelastic material has a minimal effect on the natural characteristics,it effectively dampens the vibrations in the pipe.This research provides a theoretical foundation for applying vibration damping materials in pipe vibration control. 展开更多
关键词 pipe conveying fluid visco-hyperelastic material harmonic balance method(HBM) vibration damping passive control
在线阅读 下载PDF
Numerical stress-deformation analysis of cut-off wall in clay-core rockfill dam on thick overburden 被引量:12
4
作者 Si-hong Liu Liu-jiang Wang +1 位作者 Zi-jian Wang Erich Bauer 《Water Science and Engineering》 EI CAS CSCD 2016年第3期219-226,共8页
The cut-off wall in a clay-core rockfill dam built on a thick overburden layer is subjected to a large compressive pressure under the action of the loads such as the dead weight of both the dam and the overburden laye... The cut-off wall in a clay-core rockfill dam built on a thick overburden layer is subjected to a large compressive pressure under the action of the loads such as the dead weight of both the dam and the overburden layer, the frictional force induced by the differential settlement between the cut-off wall and surrounding soils, and the water pressure. Thus, reduction of the stress of the cut-off wall has become one of the main problems for consideration in engineering design. In this paper, numerical analysis of a core rockfill dam built on a thick overburden layer was conducted and some factors influencing the stress-strain behaviors of the cut-off wall were investigated. The factors include the improvement of the overburden layer, the modeling approach for interfacial contact between the cut-off wall and surrounding soils, the modulus of the cut-off wall concrete, and the connected pattern between the cut-off wall and the clay core. The result shows that improving the overburden layer,selecting plastic concrete with a low modulus and high strength, and optimizing the connection between the cut-off wall and the clay core of the dam are effective measures of reducing the deformations and compressive stresses of the cut-off wall. In addition, both the Goodman element and the mud-layer element are suitable for simulating the interfacial contact between the cut-off wall and surrounding soils. 展开更多
关键词 OVERBURDEN layer Core ROCKFILL DAM CUT-OFF wall NUMERICAL ANALYSIS Stress and deformation ANALYSIS
在线阅读 下载PDF
Hot deformation behavior and constitutive model of TC18 alloy during compression 被引量:16
5
作者 Bao-Hua Jia Wei-Dong Song +3 位作者 Hui-Ping Tang Zhi-Hua Wang Xiao-Nan Mao Jian-Guo Ning 《Rare Metals》 SCIE EI CAS CSCD 2014年第4期383-389,共7页
The hot deformation behavior of TC18 alloy at strain rates ranging from 1 × 10-4 to 1 x 10-2 s-1 and temperatures ranging from 25 to 800 ℃ was studied using a WDW-300 electronic universal testing machine. The re... The hot deformation behavior of TC18 alloy at strain rates ranging from 1 × 10-4 to 1 x 10-2 s-1 and temperatures ranging from 25 to 800 ℃ was studied using a WDW-300 electronic universal testing machine. The relationships between true flow stress decreases with stress and true strain show that the increase of temperature and increases as strain rate increases. The effect of strain rate on the flow stress becomes pronounced at higher temper- atures. At room temperature, the river pattern characteristic of brittle fracture and the dimple pattern typical of ductile fracture are found to exist in different regions of fracture surfaces of the samples. An improved constitutive rela- tionship is proposed to accurately describe the flow stress of TC18 by considering the effect of strain. And a micro- scopic model is also deduced which can link the physical mechanisms to the macroscopic experimental results. A good agreement is obtained between the predictions of the microscopic model and the results of the macroscopic experiment. 展开更多
关键词 TC18 titanium alloy Hot deformation Strainrate Constitutive model
原文传递
Review on cyclic plasticity of magnesium alloys:Experiments and constitutive models 被引量:12
6
作者 Guo-zheng Kang Hang Li 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2021年第4期567-589,共23页
Fatigue analysis has always been a concern in the design and assessment of Mg alloy structure components subjected to cyclic loading,and research on the cyclic plasticity is fundamental to investigate the correspondin... Fatigue analysis has always been a concern in the design and assessment of Mg alloy structure components subjected to cyclic loading,and research on the cyclic plasticity is fundamental to investigate the corresponding fatigue failure.Thus,this work reviews the progress in the cyclic plasticity of Mg alloys.First,the existing macroscopic and microscopic experimental results of Mg alloys are summarized.Then,corresponding macroscopic phenomenological constitutive models and crystal plasticity-based models are reviewed.Finally,some conclusions and recommended topics on the cyclic plasticity of Mg alloys are provided to boost the further development and application of Mg alloys. 展开更多
关键词 magnesium alloy cyclic plasticity macroscopic experiments microscopic observations constitutive model
在线阅读 下载PDF
Review on fatigue life prediction models of welded joint 被引量:10
7
作者 Guozheng Kang Huiliang Luo 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2020年第3期701-726,共26页
Fatigue assessment of welded joint is still far from being completely solved now,since many influencing factors coexist and some important ones should be considered in the developed life prediction models reasonably.T... Fatigue assessment of welded joint is still far from being completely solved now,since many influencing factors coexist and some important ones should be considered in the developed life prediction models reasonably.Thus,such influencing factors of welded joint fatigue are firstly summarized in this work;and then,the existing life prediction models are reviewed from two aspects,i.e.,uniaxial and multiaxial ones;finally,significant conclusions of existing experimental and theoretical researches and some suggestions on improving the fatigue assessment of welded joints,especially for the low-cycle fatigue with the occurrence of ratchetting,are provided. 展开更多
关键词 Welded joint High-cycle fatigue Low-cycle fatigue Influencing factors Life prediction models
原文传递
Design and evaluation of a Laval-type supersonic atomizer for low-pressure gas atomization of molten metals 被引量:7
8
作者 Chao-run Si Xian-jie Zhang +1 位作者 Jun-biao Wang Yu-jun Li 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2014年第6期627-635,共9页
A Laval-type supersonic gas atomizer was designed for low-pressure gas atomization of molten metals. The principal design ob-jectives were to produce small-particle uniform powders at lower operating pressures by impr... A Laval-type supersonic gas atomizer was designed for low-pressure gas atomization of molten metals. The principal design ob-jectives were to produce small-particle uniform powders at lower operating pressures by improving the gas inlet and outlet structures and op-timizing structural parameters. A computational fluid flow model was developed to study the flow field characteristics of the designed atom-izer. Simulation results show that the maximum gas velocity in the atomization zone can reach 440 m&#183;s-1;this value is independent of the atomization gas pressure P0 when P0〉0.7 MPa. When P0=1.1 MPa, the aspiration pressure at the tip of the delivery tube reaches a mini-mum, indicating that the atomizer can attain the best atomization efficiency at a relatively low atomization pressure. In addition, atomization experiments with pure tin at P0=1.0 MPa and with 7055Al alloy at P0=0.8 and 0.4 MPa were conducted to evaluate the atomization capa-bility of the designed atomizer. Nearly spherical powders were obtained with the mass median diameters of 28.6, 43.4, and 63.5μm, respec-tively. Compared with commonly used atomizers, the designed Laval-type atomizer has a better low-pressure gas atomization capability. 展开更多
关键词 atomizers gas atomization supersonic flow simulation metal powders
在线阅读 下载PDF
Effect of addition of Al-Si eutectic alloy on microstructure and mechanical properties of Mg-12wt%Li alloy 被引量:8
9
作者 Zilong Zhao Xuegang Xing +3 位作者 Jinyu Ma Liping Bian Wei Liang Yide Wang 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2018年第9期1564-1569,共6页
Mg-12 Li, Mg-12 Li-3(Al-Si), Mg-12 Li-7(Al-Si) and Mg-12 Li-9(Al-Si) alloys(all in wt%) were fabricated by high frequency vacuum induction melting in a water cooled copper crucible. After subsequently hotrolli... Mg-12 Li, Mg-12 Li-3(Al-Si), Mg-12 Li-7(Al-Si) and Mg-12 Li-9(Al-Si) alloys(all in wt%) were fabricated by high frequency vacuum induction melting in a water cooled copper crucible. After subsequently hotrolling and annealing, their microstructure and mechanical properties were investigated. Experimental results show that mechanical properties of Mg-12 Li alloy were significantly improved by the addition of Al-Si eutectic alloy. Mg-12 Li-7(Al-Si) alloy shows the highest strength of 196 MPa of the investigated alloys, which is about 1.8 times of the strength of Mg-12 Li alloy, and maintains high elongation of 27%.The improved mechanical property with addition of Al and Si in the eutectic proportion into Mg-12 Li alloy was attributed to the solution strengthening effect of A1 and precipitation hardening effect from AlLi and Mg_2 Si precipitates. 展开更多
关键词 Al-Si eutectic Mg-12Li alloys Precipitation Strengthening ROLLING
原文传递
Numerical Simulation for Arc Windshields of Aircrafts Subjected to Bird Impact 被引量:4
10
作者 Yao Xiaohu Zhao Longmao Liu Xiaoming 《上海交通大学学报》 EI CAS CSCD 北大核心 2004年第z2期147-151,共5页
A finite element model including full-scale circular arc windshield glass and the relative parts of the military plane is established in this paper. The model is analyzed by using an explicit element code LS-DYNA3D fo... A finite element model including full-scale circular arc windshield glass and the relative parts of the military plane is established in this paper. The model is analyzed by using an explicit element code LS-DYNA3D for analyzing the nonlinear dynamic response of structures. The data in aspects of displacement, strain, stress and contact force in the process of deformation are obtained. The deformation and failure mechanism of circular arc windshield glass are discussed. The possible location at which failure may take place is given. The valuable data are provided for designing,researching and producing new windshields with high crashworthiness. 展开更多
关键词 BIRD impact ARC WINDSHIELD dynamic RESPONSE liquid-solid COUPLING
在线阅读 下载PDF
Optimal design of pressure vessel using an improved genetic algorithm 被引量:5
11
作者 Peng-fei LIU Ping XU +1 位作者 Shu-xin HAN Jin-yang ZHENG 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2008年第9期1264-1269,共6页
As the idea of simulated annealing (SA) is introduced into the fitness function, an improved genetic algorithm (GA) is proposed to perform the optimal design of a pressure vessel which aims to attain the minimum weigh... As the idea of simulated annealing (SA) is introduced into the fitness function, an improved genetic algorithm (GA) is proposed to perform the optimal design of a pressure vessel which aims to attain the minimum weight under burst pressure con- straint. The actual burst pressure is calculated using the arc-length and restart analysis in finite element analysis (FEA). A penalty function in the fitness function is proposed to deal with the constrained problem. The effects of the population size and the number of generations in the GA on the weight and burst pressure of the vessel are explored. The optimization results using the proposed GA are also compared with those using the simple GA and the conventional Monte Carlo method. 展开更多
关键词 Pressure vessel Optimal design Genetic algorithm (GA) Simulated annealing (SA) Finite element analysis (FEA)
在线阅读 下载PDF
Effects of heat treatment on dynamic compressive properties and energy absorption characteristics of open-cell aluminum alloy foams 被引量:6
12
作者 曹晓卿 王志华 +2 位作者 马宏伟 赵隆茂 杨桂通 《中国有色金属学会会刊:英文版》 CSCD 2006年第1期159-163,共5页
The effects of heat treatment on the dynamic compressive properties and energy absorption characteristics of open cell aluminum alloy foams (Al-Mg-Si alloy foam and Al-Cu-Mg alloy foam) produced by infiltrating proces... The effects of heat treatment on the dynamic compressive properties and energy absorption characteristics of open cell aluminum alloy foams (Al-Mg-Si alloy foam and Al-Cu-Mg alloy foam) produced by infiltrating process were studied. Two kinds of heat treatment were exploited: age-hardening and solution heat treating plus age-hardening (T6). The split Hopkinson pressure bar (SHPB) was used for high strain rate compression test. The results show that both age-hardened and T6-strengthened foams exhibit improved compression strength and shortened plateau region compared with that of foams in as-fabricated state under high strain rate compression, and the energy absorption capacity is also influenced significantly by heat treatment. It is worthy to note that omitting the solution treating can also improve the strength and energy absorbed much. 展开更多
关键词 铝合金 泡沫金属 热处理 压缩性能 能量吸收
在线阅读 下载PDF
DETERMINATION OF QUADRICEPS FORCES IN SQUAT AND ITS APPLICATION IN CONTACT PRESSURE ANALYSIS OF KNEE JOINT 被引量:5
13
作者 Yuan Guo Xushu Zhang +1 位作者 Meiwen An Weiyi Chen 《Acta Mechanica Solida Sinica》 SCIE EI 2012年第1期53-60,共8页
While the quadriceps muscles of human body are quite important to the daily ac-tivities of knee joints,the determination of quadriceps forces poses significant challenges since it cannot be measured in vivo.Here,a nov... While the quadriceps muscles of human body are quite important to the daily ac-tivities of knee joints,the determination of quadriceps forces poses significant challenges since it cannot be measured in vivo.Here,a novel approach is presented to obtain the forces in squat through the combination of motion photography,force transducers measuring,multi-rigid-body theory and finite element analysis.Firstly,the geometrical and angular data of human for squat process were obtained through the analysis of photographed pictures for human squat with cam-era.At the same time,force transducers were used to measure the reaction forces from feet and to determine the center of gravity for identical squat process.Next,based on the multi-rigid-body dynamics,a mathematical model for human right leg and foot was established in order to determine the quadriceps torques under different squat angles.Then,so as to determine the quadriceps forces along with varied squat angles,a simplified three-dimensional finite element model was built,including tibia,fibula,patella,patella ligament and quadriceps tendon.Finally,the contact pressure of knee joint was analyzed for the squat with the established model of knee joint involving the obtained quadriceps forces from finite element analysis.And it showed that in the 0-90 degree squat process,the peak value of contact pressure of articular cartilages and menisci is increased with the increased squat angle.This study can be referenced for further un-derstanding of the biomechanical behaviors of knee,contact pressure effects of daily activities on knee,and is significantly instructive for sports rehabilitation. 展开更多
关键词 quadriceps force force transducers motion analysis finite element analysis SQUAT
原文传递
GREEN QUASIFUNCTION METHOD FOR FREE VIBRATION OF CLAMPED THIN PLATES 被引量:5
14
作者 Shanqing Li Hong Yuan 《Acta Mechanica Solida Sinica》 SCIE EI 2012年第1期37-45,共9页
The Green quasifunction method is employed to solve the free vibration problem of clamped thin plates.A Green quasifunction is established by using the fundamental solution and boundary equation of the problem.This fu... The Green quasifunction method is employed to solve the free vibration problem of clamped thin plates.A Green quasifunction is established by using the fundamental solution and boundary equation of the problem.This function satisfies the homogeneous boundary condition of the problem.The mode shape differential equation of the free vibration problem of clamped thin plates is reduced to Fredholm integral equation of the second kind by Green formula.Irregularity of the kernel of integral equation is overcome by choosing a suitable form of the normalized boundary equation.Two examples demonstrate the validity of the present method.Comparison with both the series solution and ANSYS finite-element solution shows fine agreement.The present method is a novel and effective mathematical one. 展开更多
关键词 Green function integral equation R-function clamped thin plates free vibration
原文传递
The Anomalous Response of Elastoplatic Circular Plates Under Impulsive Loading 被引量:3
15
作者 Wu guiying Liu wei Yang guitong 《上海交通大学学报》 EI CAS CSCD 北大核心 2004年第z2期14-18,共5页
The anomalous nonlinear elastic, perfectly plastic response behaviors of circular plate subjected to short transverse pulse load is studied. The plate is assumed fixed-pin along the boundary. 'Anomalous' here ... The anomalous nonlinear elastic, perfectly plastic response behaviors of circular plate subjected to short transverse pulse load is studied. The plate is assumed fixed-pin along the boundary. 'Anomalous' here means that the final deflection may be in the direction opposite that of the load. It has been found by detailed numerical analyses that there exists anomalous response in some narrow loading ranges, so called slots. By further calculations it is shown that this special dynamic behavior is related to coupling affects of internal forces and large plastic deformation after removal loading. Further plastic dissipation will be lead to anomalous dynamic response. This phenomena could be considered as the coupling of the geometry nonlinearity, material nonlinearity,elastic effects and the irrecoverable of the plastic deformation. 展开更多
关键词 ANOMALOUS RESPONSE ELASTOPLASTIC PLATES NUMERICAL ANALYSES
在线阅读 下载PDF
THEORETICAL MODEL ON INTERFACE FAILURE MECHANISM OF REINFORCED CONCRETE CONTINUOUS BEAM STRENGTHENED BY FRP 被引量:4
16
作者 Hong Yuan Zifeng Lin 《Acta Mechanica Solida Sinica》 SCIE EI 2009年第2期161-170,共10页
Fiber reinforced polymer (FRP) composites are increasingly being used for the re-pair and strengthening of deteriorated concrete structural components through adhesive bonding of prefabricated strips/plates and the ... Fiber reinforced polymer (FRP) composites are increasingly being used for the re-pair and strengthening of deteriorated concrete structural components through adhesive bonding of prefabricated strips/plates and the wet lay-up of fabric. Interfacial bond failure modes have attracted the attention of researchers because of the importance. The objective of the present study is to analyse the interface failure mechanism of reinforced concrete continuous beam strength-ened by FRP. An analytical solution has been firstly presented to predict the entire debonding process of the model. The realistic bi-linear bond-slip interfacial law was adopted to study this problem. The crack propagation process of the loaded model was divided into four stages (elastic,elastic-softening,elastic-softening-debonded and softening-debonded stage). Among them,elastic-softening-debonded stage has four sub-stages. The equations are solved by adding suitable stress and displacement boundary conditions. Finally,critical value of bond length is determined to make the failure mechanism in the paper effective by solving the simultaneously linear algebraic equations. The interaction between the upper and lower FRP plates can be neglected if axial stiffness ratio of the concrete-to-plate prism is large enough. 展开更多
关键词 FRP INTERFACE bond-slip law critical length continuous beam ultimate load
在线阅读 下载PDF
THE DYNAMIC BUCKLING OF ELASTIC-PLASTIC COLUMN SUBJECTED TO AXIAL IMPACT BY A RIGID BODY 被引量:4
17
作者 Han Zhijun Wang Jingchao Cheng Guoqiang Ma Hongwei Zhang Shanyuan 《Acta Mechanica Solida Sinica》 SCIE EI 2005年第3期256-264,共9页
The dynamic buckling of an elastic-plastic column subjected to axial impact by a rigid body has been discussed in this paper. The whole traveling process of elastic-plastic waves under impact action is analyzed with t... The dynamic buckling of an elastic-plastic column subjected to axial impact by a rigid body has been discussed in this paper. The whole traveling process of elastic-plastic waves under impact action is analyzed with the characteristics method. The regularity of stress changes in both column ends and the first separating time of a rigid body and column are obtained. By using the energy principle and taking into account the propagation and reflection of stress waves the lateral disturbance equation is derived and the power series solution is given. In addition, the critical buckling condition can be obtained from the stability analysis of the solution. By numerical computation and analysis, the relationship among critical velocity and impact mass, hardening modulus, and buckling time is given. 展开更多
关键词 dynamic buckling stress wave critical criteria power series solution
在线阅读 下载PDF
Three kinds of nonlinear dispersive waves in elastic rods with finite deformation 被引量:3
18
作者 张善元 刘志芳 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第7期909-917,共9页
On the basis of classical linear theory on longitudinal, torsional and flexural waves in thin elastic rods, and taking finite deformation and dispersive effects into consideration, three kinds of nonlinear evolution e... On the basis of classical linear theory on longitudinal, torsional and flexural waves in thin elastic rods, and taking finite deformation and dispersive effects into consideration, three kinds of nonlinear evolution equations are derived. Qualitative analysis of three kinds of nonlinear equations are presented. It is shown that these equations have homoclinic or heteroclinic orbits on the phase plane, corresponding to solitary wave or shock wave solutions, respectively. Based on the principle of homogeneous balance, these equations are solved with the Jacobi elliptic function expansion method. Results show that existence of solitary wave solution and shock wave solution is possible under certain conditions. These conclusions are consistent with qualitative analysis. 展开更多
关键词 elastic thin rod finite deformation dispersive effect solitary wave shock wave
在线阅读 下载PDF
Nonlinear Vibrations and Stability of an Axially Moving Plate Immersed in Fluid 被引量:4
19
作者 Hongying Li Tianyi Lang +1 位作者 Yongjun Liu Jian Li 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2019年第6期737-753,共17页
In this paper,the nonlinear forced vibrations and stability of an axially moving large deflection plate immersed in fluid are investigated.Based on von Karman's large deflec・tion plate theory and taking into consi... In this paper,the nonlinear forced vibrations and stability of an axially moving large deflection plate immersed in fluid are investigated.Based on von Karman's large deflec・tion plate theory and taking into consideration the influence of fluid-strueture interaction,axial moving and axial tension,nonlinear dynamic equations are obtained by applying D'Alembert's principle.These dynamic equations are further discretized into ordinary differential equations via the Galerkin method.The frequency-response curves of system are obtained and examined.Then numerical method is used to analyze the bifurcation behaviors of immersed plate.Results show that as the parameters vary,the system displays periodic,multi-periodic,quasi-periodic and even chaotic motion.Through the analysis on global dynamic characteristics of fluid-strueture interaction system,rich and varied nonlinear dynamic characteristics are obtained,and various ways that lead to chaotic motion of the system are further revealed. 展开更多
关键词 Axially moving plate Fluid-strueture interaction Nonlinear vibrations BIFURCATIONS
原文传递
Mathematical modeling for dynamic stability of sandwich beam with variable mechanical properties of core 被引量:3
20
作者 M.GRYGOROWICZ E.MAGNUCKA-BLANDZI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2016年第10期1361-1374,共14页
The paper is devoted to mathematical modelling of static and dynamic stability of a simply supported three-layered beam with a metal foam core. Mechanical properties of the core vary along the vertical direction. The ... The paper is devoted to mathematical modelling of static and dynamic stability of a simply supported three-layered beam with a metal foam core. Mechanical properties of the core vary along the vertical direction. The field of displacements is for- mulated using the classical broken line hypothesis and the proposed nonlinear hypothesis that generalizes the classical one. Using both hypotheses, the strains are determined as well as the stresses of each layer. The kinetic energy, the elastic strain energy, and the work of load are also determined. The system of equations of motion is derived using Hamilton's principle. Finally, the system of three equations is reduced to one equation of motion, in particular, the Mathieu equation. The Bubnov-Galerkin method is used to solve the system of equations of motion, and the Runge-Kutta method is used to solve the second-order differential equation. Numerical calculations are done for the chosen family of beams. The critical loads, unstable regions, angular frequencies of the beam, and the static and dynamic equilibrium paths are calculated analytically and verified numerically. The results of this study are presented in the forms of figures and tables. 展开更多
关键词 mathematical modelling dynamic stability metal foam core with variable mechanical property static and dynamic equilibrium path angular frequency
在线阅读 下载PDF
上一页 1 2 11 下一页 到第
使用帮助 返回顶部