无约束修正Timoshenko梁的冲击问题  

IMPACT RESPONSE OF AN UNRESTRAINED MODIFIED TIMOSHENKO BEAM

作　　者：陈镕[1] 万春风[1] 薛松涛[1] 唐和生[1] 

机构地区：[1]同济大学结构工程与防灾研究所同济大学航空技术中心,上海200092

出　　处：《力学学报》2006年第2期262-269,共8页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家杰出青年科学基金资助项目(59925820).~~

摘　　要：介绍了修正后的Timoshenko梁运动方程,并比较了修正Timoshenko梁与经典Timoshenko梁的运动方程．推导了考虑剪切变形引起的转动惯量的修正Timoshenko梁的正交条件,推导了集中质量对无约束修正 Timoshenko梁的正碰撞对梁所引起的瞬态冲击响应公式,并用算例进行了分析,且与集中质量对经典的无约束Timoshenko梁的正碰撞对梁所引起的冲击响应进行了比较,另外还用算例分析了梁的刚度的变化和冲击质量比对其冲击响应产生的影响．In this paper, the modified motion equation of Timoshenko beam is first introduced, which is then compared with that of Timoshenko beam. The orthogonality conditions of the modified Timoshenko beam, where the rotary inertia caused by the shear deformation is considered, are derived. The impact response formulas of an unrestrained modified Timoshenko beam under the＇ impact of a lumped mass are deduced, and the corresponding numerical examples are analyzed. The evaluation results are compared with the impact response of the classical unrestrained Timoshenko beam with the same lumped mass. Finally, the effects of the beam stiffness and impact mass ratio on the response are discussed.

关 键 词：无约束 修正Timoshenko梁 剪切变形 转动惯量 正交条件 冲击响应 

分 类 号：O347.1[理学—固体力学]