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Buckling of stepped beams with elastic supports 被引量:4
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作者 张宏生 陆念力 兰朋 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2009年第3期436-440,共5页
The tangent stiffness matrix of Timoshenko beam element is applied in the buckling of multi-step beams under several concentrated axial forces with elastic supports. From the governing differential equation of lateral... The tangent stiffness matrix of Timoshenko beam element is applied in the buckling of multi-step beams under several concentrated axial forces with elastic supports. From the governing differential equation of lateral deflection including second-order effects,the relationship of force versus displacement is established. In the formulation of finite element method (FEM),the stiffness matrix developed has the same accuracy with the solution of exact differential equations. The proposed tangent stiffness matrix will degenerate into the Bernoulli-Euler beam without the effects of shear deformation. The critical buckling force can be determined from the determinant element assemblage by FEM. The equivalent stiffness matrix constructed by the topmost deflection and slope is established by static condensation method,and then a recurrence formula is proposed. The validity and efficiency of the proposed method are shown by solving various numerical examples found in the literature. 展开更多
关键词 buckling: steoped beams elastic supports Timoshenko beam
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Resonance response of fluid-conveying pipe with asymmetric elastic supports coupled to lever-type nonlinear energy sink 被引量:2
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作者 Runqing CAO Zhijian WANG +1 位作者 Jian ZANG Yewei ZHANG 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2022年第12期1873-1886,共14页
This paper studies the vibration absorber for a fluid-conveying pipe,where the lever-type nonlinear energy sink(LNES)and spring supports are coupled to the asymmetric ends of the system.The pseudo-arc-length method in... This paper studies the vibration absorber for a fluid-conveying pipe,where the lever-type nonlinear energy sink(LNES)and spring supports are coupled to the asymmetric ends of the system.The pseudo-arc-length method integrated with the harmonic balance method is used to investigate the steady-state responses analytically.Meanwhile,the numerical solution of the fluid-conveying pipe is calculated with the Runge-Kutta method.Moreover,a special response,called the collapsible closed detached response(CCDR),is first observed when the vibration response of mechanical structures is studied.Then,the relationship between the CCDR and the main structure primary response(PR)is obtained.In addition,the closed detached response(CDR)is also observed to research the resonance response of the fluid-conveying pipe.The appearance of either the CCDR or the CDR does affect the resonance attenuation.Furthermore,the mentioned two phenomena underline that the trend of vibration responses under external excitation goes continuous and gradual.Besides,the main advantage of the LNES is presented by contrasting the LNES with the nonlinear energy sink(NES)coupled to the same pipe system.It is found that the LNES can reduce the resonance response amplitude by 91.33%. 展开更多
关键词 fluid-conveying pipe vibration attenuation collapsible closed detached response(CCDR) lever-type nonlinear energy sink(LNES) elastic support
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Research on the flow stability and noise reduction characteristics of quasi-periodic elastic support skin
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作者 Lu Chen Shao-gang Liu +5 位作者 Dan Zhao Li-qiang Dong Kai Li Shuai Tang Jin Cui Hong Guo 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2024年第3期222-236,共15页
To enhance flow stability and reduce hydrodynamic noise caused by fluctuating pressure,a quasiperiodic elastic support skin composed of flexible walls and elastic support elements is proposed for fluid noise reduction... To enhance flow stability and reduce hydrodynamic noise caused by fluctuating pressure,a quasiperiodic elastic support skin composed of flexible walls and elastic support elements is proposed for fluid noise reduction.The arrangement of the elastic support element is determined by the equivalent periodic distance and quasi-periodic coefficient.In this paper,a dynamic model of skin in a fluid environment is established.The influence of equivalent periodic distance and quasi-periodic coefficient on flow stability is investigated.The results suggest that arranging the elastic support elements in accordance with the quasi-periodic law can effectively enhance flow stability.Meanwhile,the hydrodynamic noise calculation results demonstrate that the skin exhibits excellent noise reduction performance,with reductions of 10 dB in the streamwise direction,11 dB in the spanwise direction,and 10 dB in the normal direction.The results also demonstrate that the stability analysis method can serve as a diagnostic tool for flow fields and guide the design of noise reduction structures. 展开更多
关键词 Flow stability Quasi-period Flexible wall elastic support element Hydrodynamic noise
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On internal resonance analysis of a double-cable-stayed shallowarch model with elastic supports at both ends 被引量:1
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作者 Xiaoyang Su Houjun Kang +1 位作者 Tieding Guo Guirong Yan 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2022年第6期182-199,I0004,共19页
In previous research on the nonlinear dynamics of cable-stayed bridges,boundary conditions were not properly modeled in the modeling.In order to obtain the nonlinear dynamics of cable-stayed bridges more accurately,a ... In previous research on the nonlinear dynamics of cable-stayed bridges,boundary conditions were not properly modeled in the modeling.In order to obtain the nonlinear dynamics of cable-stayed bridges more accurately,a double-cable-stayed shallow-arch model with elastic supports at both ends and the initial configuration of bridge deck included in the modeling is developed in this study.The in-plane eigenvalue problems of the model are solved by dividing the shallow arch(SA)into three partitions according to the number of cables and the piecewise functions are taken as trial functions of the SA.Then,the in-plane one-toone-to-one internal resonance among the global mode and the local modes(two cables’modes)is investigated when external primary resonance occurs.The ordinary differential equations(ODEs)are obtained by Galerkin’s method and solved by the method of multiple time scales.The stable equilibrium solutions of modulation equations are obtained by using the NewtonRaphson method.In addition,the frequency-/force-response curves under different vertical stiffness are provided to study the nonlinear dynamic behaviors of the elastically supported model.To validate the theoretical analyses,the Runge-Kutta method is applied to obtain the numerical solutions.Finally,some interesting conclusions are drawn. 展开更多
关键词 Cable-stayed bridge Internal resonance Vertical elastic support Eigenvalue Nonlinear vibration
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Element-free Galerkin method for free vibration of rectangular plates with interior elastic point supports and elastically restrained edges 被引量:1
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作者 王砚 王忠民 阮苗 《Journal of Shanghai University(English Edition)》 CAS 2010年第3期187-195,共9页
The element-free Galerkin method is proposed to solve free vibration of rectangular plates with finite interior elastic point supports and elastically restrained edges.Based on the extended Hamilton's principle for t... The element-free Galerkin method is proposed to solve free vibration of rectangular plates with finite interior elastic point supports and elastically restrained edges.Based on the extended Hamilton's principle for the elastic dynamics system,the dimensionless equations of motion of rectangular plates with finite interior elastic point supports and the edge elastically restrained are established using the element-free Galerkin method.Through numerical calculation,curves of the natural frequency of thin plates with three edges simply supported and one edge elastically restrained,and three edges clamped and the other edge elastically restrained versus the spring constant,locations of elastic point support and the elastic stiffness of edge elastically restrained are obtained.Effects of elastic point supports and edge elastically restrained on the free vibration characteristics of the thin plates are analyzed. 展开更多
关键词 element free method rectangular thin plates interior elastic point supports elastically restrained edges free vibration
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AN ANALYTICAL SOLUTION OF TRANSVERSE VIBRATION OF RECTANGULAR PLATES SIMPLY SUPPORTED AT TWO OPPOSITE EDGES WITH ARBITRARY NUMBER OF ELASTIC LINE SUPPORTS IN ONE WAY
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作者 周叮 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1996年第8期773-779,共7页
This paper presents presents a new analytical solution of transverse vibration ofrectangular plaies simply supported at two opposite edges with arbitrary number ofelastic line supports in one way. The reaction forces ... This paper presents presents a new analytical solution of transverse vibration ofrectangular plaies simply supported at two opposite edges with arbitrary number ofelastic line supports in one way. The reaction forces of the elastic line supports areregarded as foe unknown external forces acted on the plate. The analytical solution ofthe differential equation of motion of the rectangular plate, which includes theunknown reaction forces. is gained. The frequency' equation is derived by using thelinear relationships between the reaction forces of the elastic line supports and thetransverse displacements of the plale along the elastic line supports. Therepresentations of foe frequency equation and the mode shape functions are differentfrom those obtained by other methods. 展开更多
关键词 rectangular plate eigen-frequency. elastic line support. analyticalSolution
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VIBRATION OF ARBITRARILY SHAPED MEMBRANES WITH ELASTICAL SUPPORTS AT POINTS
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作者 周叮 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1989年第12期1171-1177,共7页
This paper presents a new method for solving the vibration of arbitrarily shaped membranes with ela.stical supports at points. The reaction forces of elastical supports at points are regarded as unknown external force... This paper presents a new method for solving the vibration of arbitrarily shaped membranes with ela.stical supports at points. The reaction forces of elastical supports at points are regarded as unknown external forces acting on the membranes. The exact solution of the equation of motion is given which includes terms representing the unknown reaction forces. The frequency equation is derived by the use of the linear relationship of the displacements with the reaction forces of elastical supports at points. Finally the calculating formulae of the frequency equation of circular membranes are analytically performed as examples and the inherent frequencies of circular membranes with symmetric elastical supports at two points are numerically calculated. 展开更多
关键词 VIBRATION OF ARBITRARILY SHAPED MEMBRANES WITH elasticAL supports AT POINTS
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Elastically restrained Bernoulli-Euler beams applied to rotary machinery modelling 被引量:2
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作者 Tiago A.N.Silva Nuno M.M.Maia 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2011年第1期56-62,共7页
Facing the lateral vibration problem of a machine rotor as a beam on elastic supports in bending,the authors deal with the free vibration of elastically restrained Bernoulli-Euler beams carrying a finite number of con... Facing the lateral vibration problem of a machine rotor as a beam on elastic supports in bending,the authors deal with the free vibration of elastically restrained Bernoulli-Euler beams carrying a finite number of concentrated elements along their length.Based on Rayleigh’s quotient,an iterative strategy is developed to find the approximated torsional stiffness coefficients,which allows the reconciliation between the theoretical model results and the experimental ones,obtained through impact tests.The mentioned algorithm treats the vibration of continuous beams under a determined set of boundary and continuity conditions, including different torsional stiffness coefficients and the effect of attached concentrated masses and rotational inertias, not only in the energetic terms of the Rayleigh’s quotient but also on the mode shapes,considering the shape functions defined in branches.Several loading cases are examined and examples are given to illustrate the validity of the model and accuracy of the obtained natural frequencies. 展开更多
关键词 Transverse vibration of beams · elastic supports · Torsional stiffness coefficients
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Bolt support mechanism based on elastic theory 被引量:9
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作者 Guo Xiaoqian Mao Xianbiao +1 位作者 Ma Chao Huang Jinglong 《International Journal of Mining Science and Technology》 SCIE EI 2013年第4期468-473,共6页
Mechanical model of anchorage surrounding rock considering tray effect was established based on elastic theory,in order to study the mechanism of bolt supporting.Elastic solutions of normal force at point in the inter... Mechanical model of anchorage surrounding rock considering tray effect was established based on elastic theory,in order to study the mechanism of bolt supporting.Elastic solutions of normal force at point in the interior of a semi-infnite solid were obtained by means of classical displacement function method in elasticity.The factors which influence stress of bolted surrounding rock,such as the length of bolt and tray effect,were analyzed.The absolute value of stress along bolt axes decreased rapidly with an increase in radical distance and the maximum appeared near ends of bolt.With increasing radical distance,the value of radical stress changed from positive to negative roughly and then increased to zero,with maximum at the middle of bolt.The evolution of hoop stress as radical distance increasing was similar with stress along bolt axes.With an increase in depth,the radical effect ranges of all normal stress components were reduced.These suggest that the effect from tray on stress along bolt axes of bolted surrounding rock could be neglected,except near surface of surrounding rock. 展开更多
关键词 elastic theory Bolt support Displacement function method Stress along bolt axes
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Probability Analysis of the Wave-Slamming Pressure Values of the Horizontal Deck with Elastic Support 被引量:1
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作者 ZUO Weiguang LIU Ming +1 位作者 FAN Tianhui WANG Pengtao 《Journal of Ocean University of China》 SCIE CAS CSCD 2018年第3期507-515,共9页
This paper presents the probability distribution of the slamming pressure from an experimental study of regular wave slamming on an elastically supported horizontal deck. The time series of the slamming pressure durin... This paper presents the probability distribution of the slamming pressure from an experimental study of regular wave slamming on an elastically supported horizontal deck. The time series of the slamming pressure during the wave impact were first obtained through statistical analyses on experimental data. The exceeding probability distribution of the maximum slamming pressure peak and distribution parameters were analyzed, and the results show that the exceeding probability distribution of the maximum slamming pressure peak accords with the three-parameter Weibull distribution. Furthermore, the range and relationships of the distribution parameters were studied. The sum of the location parameter D and the scale parameter L was approximately equal to 1.0, and the exceeding probability was more than 36.79% when the random peak was equal to the sample average during the wave impact. The variation of the distribution parameters and slamming pressure under different model conditions were comprehensively presented, and the parameter values of the Weibull distribution of wave-slamming pressure peaks were different due to different test models. The parameter values were found to decrease due to the increased stiffness of the elastic support. The damage criterion of the structure model caused by the wave impact was initially discussed, and the structure model was destroyed when the average slamming time was greater than a certain value during the duration of the wave impact. The conclusions of the experimental study were then described. 展开更多
关键词 exceeding probability distribution maximum slamming pressure peak elastically supported distribution parameter impact damage hydroelastic slamming
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SEMI-SUPERVISED RADIO TRANSMITTER CLASSIFICATION BASED ON ELASTIC SPARSITY REGULARIZED SVM 被引量:2
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作者 Hu Guyu Gong Yong +2 位作者 Chen Yande Pan Zhisong Deng Zhantao 《Journal of Electronics(China)》 2012年第6期501-508,共8页
Non-collaborative radio transmitter recognition is a significant but challenging issue, since it is hard or costly to obtain labeled training data samples. In order to make effective use of the unlabeled samples which... Non-collaborative radio transmitter recognition is a significant but challenging issue, since it is hard or costly to obtain labeled training data samples. In order to make effective use of the unlabeled samples which can be obtained much easier, a novel semi-supervised classification method named Elastic Sparsity Regularized Support Vector Machine (ESRSVM) is proposed for radio transmitter classification. ESRSVM first constructs an elastic-net graph over data samples to capture the robust and natural discriminating information and then incorporate the information into the manifold learning framework by an elastic sparsity regularization term. Experimental results on 10 GMSK modulated Automatic Identification System radios and 15 FM walkie-talkie radios show that ESRSVM achieves obviously better performance than KNN and SVM, which use only labeled samples for classification, and also outperforms semi-supervised classifier LapSVM based on manifold regularization. 展开更多
关键词 Radio transmitter recognition Cyclic spectrum density Semi-supervised classification elastic Sparsity Regularized Support Vector Machine (ESRSVM)
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Experimental Investigation of Wave Slamming on An Open Structure Supported Elastically 被引量:1
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作者 任冰 刘明 +1 位作者 李雪临 王永学 《China Ocean Engineering》 SCIE EI CSCD 2016年第6期967-978,共12页
The superstructures of marine structures supported by the elastic legs and located in the splash zone will subject to violent wave slamming and vibrate consequently during storms. A series of model tests are carried o... The superstructures of marine structures supported by the elastic legs and located in the splash zone will subject to violent wave slamming and vibrate consequently during storms. A series of model tests are carried out to investigate the wave impacting on the open structures supported elastically. Three kinds of models with different natural frequencies are designed. The characteristics of the wave pressures on the three models are compared. The durations of the uplift forces and the corresponding accelerations of the structure during wave impact are analyzed simultaneously. The distributions of the peak impact pressures on the subfaces of the plates with different supporting stiffness are given. The relationship between the uplift force on the three models and the relative clearance are obtained. The spectral properties of the slamming loads on the three different structures are compared, The experimental results indicate that the behaviors of the impact pressures, the uplift forces and accelerations of the plates with small natural frequencies are obviously different from those of the plates with larger natural frequencies within the range of the experimental parameters. 展开更多
关键词 supported elastically wave impact ACCELERATION hydro-elasticity
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TRANSVERSE VIBRATION OF RECTANGULAR PLATES ELASTICALLY SUPPORTED AT POINTS ON EDGES
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作者 周叮 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1989年第10期979-987,共9页
This paper studies transverse vibration of rectangular plates with two opposite edges simply supperted other two edges arbitrarily supported and free edges elaslically supported at points,A highly accurate solution is... This paper studies transverse vibration of rectangular plates with two opposite edges simply supperted other two edges arbitrarily supported and free edges elaslically supported at points,A highly accurate solution is presented for calculating inherent frequencies and mode shape of rectangular platen elaslically supported at points. The number and location of these points on free edges may be completely arbitrary. This paper uses impulse function to represent reaction and moment at points. Fourter series is used to expand the impulse function along the edges. Characteristic equations satisfying all boundary conditions are given.Inherent frequencies and mode shape with any accutacy can be gained. 展开更多
关键词 TRANSVERSE VIBRATION OF RECTANGULAR PLATES elasticALLY SUPPORTED AT POINTS ON EDGES MODE AT
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Analysis of vibration stability of fluid conveying pipe on the two-parameter foundation with elastic support boundary conditions
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作者 Yongqi Ma Yunxiang You +1 位作者 Ke Chen Aichun Feng 《Journal of Ocean Engineering and Science》 SCIE 2024年第6期616-629,共14页
In this study,the vibration stability of fluid conveying pipe resting on two-parameter foundation is in-vestigated under four different elastic support boundary conditions.The harmonic differential quadrature(HDQ)meth... In this study,the vibration stability of fluid conveying pipe resting on two-parameter foundation is in-vestigated under four different elastic support boundary conditions.The harmonic differential quadrature(HDQ)method is applied to solve the governing vibration equation derived based on Euler–Bernoulli beam theory subject to the elastic foundation and boundary conditions.As a result,a general set of second-order ordinary differential equations emerges,and by appropriately setting the stiffness of the end springs,one can easily study the dynamics of various systems with classical or non-classical bound-ary conditions.The numerical simulations are conducted to study the pipe instability performance with respect to various boundary conditions,elastic support parameters,elastic foundation parameters and fluid mass ratios.The numerical model is validated by comparison with published data.It is found that the elastic support boundary conditions have significant effects on the stability of pipe resting on elas-tic foundation.The pipe stability performance is very sensitive to the two elastic foundation parameters.Larger fluid mass ratio enhances the pipe flutter stability performance but has no effects on the diver-gence. 展开更多
关键词 Vibration stability Two-parameter foundation elastic support Boundary conditions Harmonic differential quadrature method
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Local linearization modeling method of a multilayer wave-shaped steel-belt damper (MWSD) 被引量:1
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作者 敖宏瑞 郝德刚 +2 位作者 孙毅 姜洪源 B.A.Antipov 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2008年第4期540-546,共7页
To analyze the modeling methods of the dry friction rotor system,a local linearization model of the dry friction damping rotor system was built based on the simplified model of the wave-shaped steel-belt supporting ro... To analyze the modeling methods of the dry friction rotor system,a local linearization model of the dry friction damping rotor system was built based on the simplified model of the wave-shaped steel-belt supporting rotor system.In this model,the linear stiffness of damper closed to pre-deformation was defined as the stiffness of damper,the maximum amplitude of the rotor was calculated according to the load and linear rotor,and the damper's parameters were defined on the basis of the energy dissipation parameters.The presented method can reflect the hysteresis characteristics and is easy to calculate.Experimental results demonstrate the accuracy and feasibility of this method. 展开更多
关键词 modeling method dry friction rotor system elastic support DAMPING
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Analysis on Nonlinear Dynamic Properties of Dual-Rotor System
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作者 Hongliang Li Yushu Chen 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2015年第5期46-54,共9页
In order to clarify the effects of support structure on a dual-rotor machine,a dynamic model is established which takes into consideration the contact force of ball bearing and the cubic stiffness of elastic support. ... In order to clarify the effects of support structure on a dual-rotor machine,a dynamic model is established which takes into consideration the contact force of ball bearing and the cubic stiffness of elastic support. Bearing clearance,Hertz contact between the ball and race and the varying compliance effect are included in the model of ball bearing. The system response is obtained through numerical integration method,and the vibration due to the periodic change of bearing stiffness is investigated. The motions of periodic,quasiperiodic and even chaotic are found when bearing clearance is used as control parameter to simulate the response of rotor system. The results reveal two typical routes to chaos: quasi-periodic bifurcation and intermittent bifurcation. Large cubic stiffness of elastic support may cause jump and hysteresis phenomena in resonance curve when rotors run at the critical-speed region. The modeling results acquired by numerical simulation will contribute to understanding and controlling of the nonlinear behaviors of the dual-rotor system. 展开更多
关键词 dual-rotor system ball bearing elastic support nonlinear dynamics BIFURCATION CHAOS
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Shape optimization of 3D curved slots and its application to the squirrel-cage elastic support design 被引量:8
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作者 WANG Dan ZHANG WeiHong +1 位作者 WANG ZhenPei ZHU JiHong 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2010年第10期1895-1900,共6页
The squirrel-cage elastic support is one of the most important components of an aero-engine rotor system.A proper structural design will favor the static and dynamic performances of the system.In view of the deficienc... The squirrel-cage elastic support is one of the most important components of an aero-engine rotor system.A proper structural design will favor the static and dynamic performances of the system.In view of the deficiency of the current shape optimization techniques,a new mapping approach is proposed to define shape design variables based on the parametric equations of 3D curves and surfaces.It is then applied for the slot shape optimization of a squirrel-cage elastic support.To this end,an automatic design procedure that integrates the Genetic Algorithm (GA) is developed to solve the problem.Two typical examples with different shape constraints are considered.Numerical results provide reasonable optimum designs for the improvement of stiffness and strength of the squirrel-cage elastic support. 展开更多
关键词 shape optimization mapping design approach stress concentration spindly slot squirrel-cage elastic support
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Effects of elastic support on the dynamic behaviors of the wind turbine drive train 被引量:2
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作者 Shuaishuai WANG Caichao ZHU +1 位作者 Chaosheng SONG Huali HAN 《Frontiers of Mechanical Engineering》 SCIE CSCD 2017年第3期348-356,共9页
The reliability and service life of wind turbines are influenced by the complex loading applied on the hub, especially amidst a poor external wind environment. A three-point elastic support, which includes the main be... The reliability and service life of wind turbines are influenced by the complex loading applied on the hub, especially amidst a poor external wind environment. A three-point elastic support, which includes the main bearing and two torque arms, was considered in this study. Based on the flexibilities of the planet carrier and the housing, a coupled dynamic model was developed for a wind turbine drive train. Then, the dynamic behaviors of the drive train for different elastic support parameters were computed and analyzed. Frequency response functions were used to examine how different elastic support parameters influence the dynamic behaviors of the drive train. Results showed that the elastic support parameters considerably influenced the dynamic behaviors of the wind turbine drive train. A large support stiffness of the torque arms decreased the dynamic response of the planet carrier and the main bearing, whereas a large support stiffness of the main bearing decreased the dynamic response of planet carrier while increasing that of the main bearing. The findings of this study provide the foundation for optimizing the elastic support stiffness of the wind turbine drive train. 展开更多
关键词 wind turbine drive train elastic support dynamic behavior frequency response function
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Dynamic analysis of wave slamming on plate with elastic support 被引量:1
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作者 Wei-guang Zuo Ming Liu +1 位作者 Tian-hui Fan Jian Chen 《Journal of Hydrodynamics》 SCIE EI CSCD 2018年第6期1153-1164,共12页
Experiments are conducted to investigate the dynamic response of a plate with elastic support under a regular wave slamming. The statistical analysis results obtained in different model testing cases are presented. Th... Experiments are conducted to investigate the dynamic response of a plate with elastic support under a regular wave slamming. The statistical analysis results obtained in different model testing cases are presented. The theoretical analysis of the plate vibrations(including the forced and free vibrations) is performed. Four characteristic stages of the plate vibration accelerations between two consecutive wave impacts are identified. The submergence durations of the plate during the wave action and the hydro-elastic effects are discussed. Finally, some useful conclusions are drawn. 展开更多
关键词 Wave impact elastic support vibration acceleration slamming pressure hydro-elasticity
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Relection of elastic waves at the elastically supported boundary of a couple stress elastic half-space 被引量:1
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作者 Changda Wang Xuejun Chen +1 位作者 Peijun Wei Yueqiu Li 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2017年第2期154-164,共11页
The relection elastic waves at the elastically supported boundary of a couple stress elastic half-space are studied in this paper. Different from the classical elastic solid, there are three kinds of elastic waves in ... The relection elastic waves at the elastically supported boundary of a couple stress elastic half-space are studied in this paper. Different from the classical elastic solid, there are three kinds of elastic waves in the couple stress elastic solid, and two of them are dispersive. The boundary conditions of a couple stress elastic half-space include the couple stress vector and the rotation vector which disappear in the classical elastic solids. These boundary conditions are used to obtain a linear algebraic equation set, from which the amplitude ratios of relection waves to the incident wave can be determined. Then, the relection coeficients in terms of energy lux ratios are calculated numerically, and the normal energy lux conservation is used to validate the numerical results. Based on these numerical results,the inluences of the boundary parameters, which relect the mechanical behavior of elastic support, on the relection energy partition are discussed. Both the incident longitudinal wave(the P wave) and incident transverse wave(the SV wave) are considered. 展开更多
关键词 Relection elastic support Couple stress Dispersive waves Energy lux
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