|Table of Contents|

Modeling Simulation and Experiment of Cantilever Beams Activatedby Moving Rigid Body


Research Field:
Publishing date:


Modeling Simulation and Experiment of Cantilever Beams Activatedby Moving Rigid Body
GE Jian-li1YANG Guo-lai1WANG Zhao-xu2HAO Jian-wei1DENG Wei1
1. School of Mechanical Engineering,NUST,Nanjing 210094,China;2. Northwest Institute of Mechanical and Electrical Engineering,Xianyang 712099,China
contact-impact modeltime-discontinuous Galerkin finite element methodmoving loadsfitting clearances
A contact-impact model of the cantilever beam activated by a small-span rigid bodymoving on the surface is established. The fit clearances of front and back contact points between themoving rigid body and the elastic beam surface and the time-dependent effect of structure parametersare considered. Dynamic deflections and velocities for the free end of the uniform cross-sectioncantilever beam are computed using the time-discontinuous Galerkin( TDG) finite element methodwith power function interpolation,and the results are compared with those of the moving force model,the moving mass model and the ABAQUS software. The influence of fitting clearances on dynamiccharacteristics of the beam is discussed. An experimental system of the cantilever beam activated bythe moving mass is designed, and the free end deflection of the beam is tested. The numericalsolutions of the contact-impact model by TDG method agree well with experiments and can interpretthe low frequency vibration on test curves.


[1]刘晶波,杜修力,欧进萍. 结构动力学[M]. 北京:机械工业出版社,2007:152-190.
[2] 王颖泽,张小兵. 变速多移动质量耦合作用下柔性梁系统振动响应分析[ J]. 振动与冲击,2011,30(8):56-60.Wang Yingze, Zhang Xiaobing. Vibration analysis offlexible beam under the action of multi-moving masseswith variable speeds [ J]. Journal of Vibration andShock,2011,30(8):56-60.
[3] 陈强,杨国来,王晓锋,等. 变速移动载荷作用下梁的动态响应数值模拟[ J]. 南京理工大学学报,2011,35(2):204-208.Chen Qiang, Yang Guolai, Wang Xiaofeng, et al.Numerical analysis for dynamic responses of beamssubjected to moving loads with non-uniform motion[J]. Journal of Nanjing University of Science andTechnology,2011,35(2):204-208.
[4] 李海滨,毕世华,方远乔羽,等. 移动刚体激励的梁的振动分析和实验[ J]. 北京理工大学学报,1999,19(1):18-22.Li Haibin,Bi Shihua,Fang Yuanqiao,et al. Experimentresearch and vibration analysis of beams activated bymoving rigid body[ J]. Journal of Beijing Institute ofTechnology,1999,19(1):18-22.
[5] Hulbert G M. Time finite element methods for structuredynamics[J]. Internat J Numer Methods Engrg,1992,33:307-331.
[6] Corey J T,Clint D. Local time-stepping in Runge-Kuttadiscontinuous Galerkin finite element methods appliedto the shallow-water equations[ J]. Computer Methodsin Applied Mechanics and Engineering, 2012, 217 -220:139-152.
[7] 于开平. 时变结构动力学数值方法及其模态参数识别方法研究[ D]. 哈尔滨:哈尔滨工业大学航天学院,2000.
[8] Chien C C, Yang C S, Tang J H. Three-dimensionaltransient elastodynamic analysis by a space and time-discontinuous Galerkin finite element method[J]. FiniteElements in Analysis and Design,2003,39:561-580.
[9] Prapot K,Lonny L T. An efficient solver for the high-order accurate time-discontinuous Galerkin ( TDG)method for second-order hyperbolic systems[J]. FiniteElements in Analysis and Design,2005,41:729-762.
[10] Hao Jianwei,Ge Jianli. Dynamic response analysis ofcantilever beam under moving mass by time-discontinuous Galerkin finite element method [ J].Applied Mechanics and Materials, 2012, 130 - 134:1234-1238.834


Last Update: 2012-11-26