移动刚体-悬臂梁耦合系统建模仿真及实验研究  

Modeling Simulation and Experiment of Cantilever Beams Activated by Moving Rigid Body

作　　者：葛建立[1] 杨国来[1] 王兆旭[2] 郝建伟[1] 邓伟[1] 

机构地区：[1]南京理工大学机械工程学院,江苏南京210094 [2]西北机电工程研究所,陕西咸阳712099

出　　处：《南京理工大学学报》2012年第5期830-834,共5页Journal of Nanjing University of Science and Technology

基　　金：国家973计划资助项目(61311603);南京理工大学科技发展基金(XKF09065)

摘　　要：该文建立了小跨度刚体-悬臂梁移动接触/碰撞模型,考虑了移动刚体与弹性悬臂梁表面前后接触点的配合间隙和结构参数的时变效应。采用幂函数插值时间不协调有限元法计算了等截面悬臂梁自由端挠度和速度随时间的变化规律,并与移动力模型、移动质量模型和ABAQUS软件中的计算结果进行了对比分析。讨论了配合间隙对梁动态特性的影响。设计了滑块-悬臂梁测试系统。由计算与测试结果的对比可知,该文模型结果与测试结果一致,且能够反映测试结果中的低频振动。A contact-impact model of the cantilever beam activated by a small-span rigid body moving on the surface is established. The fit clearances of front and back contact points between the moving rigid body and the elastic beam surface and the time-dependent effect of structure parameters are considered. Dynamic deflections and velocities for the free end of the uniform cross-section cantilever beam are computed using the time-discontinuous Galerkin （TDG） finite element method with 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 dynamic characteristics of the beam is discussed. An experimental system of the cantilever beam activated by the moving mass is designed, and the free end deflection of the beam is tested. The numerical solutions of the contact-impact model by TDG method agree well with experiments and can interpret the low frequency vibration on test curves.

关 键 词：接触 碰撞模型 时间不协调伽辽金有限元法 移动载荷 配合间隙 

分 类 号：O327[理学—一般力学与力学基础]