| 李彬,刘锦阳,洪嘉振.计及剪切变形的Timoshenko梁的刚-柔耦合动力学[J].计算力学学报,2006,23(4):419~422 |
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| 计及剪切变形的Timoshenko梁的刚-柔耦合动力学 |
| Coupling dynamics of Timoshenko beam with shear deformation |
| 修订日期：2004-07-07 |
| DOI：10.7511/jslx20064079 |
| 中文关键词: 剪切变形 Timoshenko梁 刚-柔耦合动力学 |
| 英文关键词:shear deformation,Timoshenko beam,coupling dynamics, |
| 基金项目:国家高技术研究发展计划(863计划);教育部留学回国人员科研启动基金 |
| 李彬 刘锦阳 洪嘉振 |
| 上海交通大学船舶海洋与建筑工程学院,上海200240 |
| 摘要点击次数: 2303 |
| 全文下载次数: 8 |
| 中文摘要: |
| 研究带中心刚体的Timoshenko梁的刚-柔耦合动力学问题。从力学的基本原理出发，基于Timoshenko梁假设，用虚功原理建立了带中心刚体的柔性梁的刚-柔耦合动力学方程。仿真计算结果表明，随着梁的惯量矩和横截面积比逐渐增大，剪切变形对梁的刚-柔耦合动力学性态产生了一定的影响。此外，本文还对不计剪切变形的Euler—Bernoulli梁假设的适用性进行了研究。 |
| 英文摘要: |
| In this paper,the coupling dynamics of a Timoshenko beam attached to a central rigid body is investigated.Based on continuum medium mechanics and Timoshenko beam assumption,the coupling dynamic equations of flexible beam attached to a central rigid body are derived by using virtual work principle and nonlinear strain-displacement theory.Simulation results show that the shear effect is significant with the increase of the proportion of the inertia moment to the cross-section area and the increase of the rotation speed of the beam has no effect on the difference between the two models of the beam.Furthermore,the applicability of the Euler-Bernoulli assumption in which the shear effect is ignored is investigated. |
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