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| 非对称混杂边界轴向运动Timoshenko梁橫向振动分析 | |
| 引用本文： | 李彪,丁虎,陈立群.非对称混杂边界轴向运动Timoshenko梁橫向振动分析[J].固体力学学报,2009,30(6). |
| 作者姓名： | 李彪 丁虎 陈立群 |
| 作者单位： | 1. 上海大学力学系,上海,200444 2. 上海市应用数学和力学研究所,上海,200072 3. 上海大学力学系,上海,200444;上海市应用数学和力学研究所,上海,200072 |
| 基金项目： | 国家自然科学基金项目，国家自然科学基金重点项目，国家杰出青年科学基金，上海高校选拔培养优秀青年教师科研专项基金，上海市优秀学科带头人计划，上海大学创新基金资助项目，上海市重点学科建设项目，长江学者和创新团队发展计划基金资助课题 |
| 摘 要： | 研究两端带有扭转弹簧且弹簧系数均可任意变化的非对称混杂边界下的轴向运动Timoshenko梁的横向振动.利用非对称混杂边界条件推导对应任意弹簧系数的系统超越方程以及特征函数.运用数值方法计算系统的固有频率及其相应的模态函数,并研究确定梁的刚度、轴向速度以及边界处扭转弹簧的刚度的影响.通过数值算例,比较7imoshenko梁、瑞利梁、剪切梁和欧拉梁的固有频率随轴向速度的变化,分析转动惯量和剪切变形的影响. |
| 关 键 词： | 轴向运动梁 Timoshenko模型 固有频率 横向振动 模态函数 |
TRANSVERSE VIBRATION OF AN AXIALLY MOVING TIMOSHENKO BEAM WITH UNSYMMETRICAL HYBRID SUPPORTS |
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| Biao Li,Hu Ding,Liqun Chen.TRANSVERSE VIBRATION OF AN AXIALLY MOVING TIMOSHENKO BEAM WITH UNSYMMETRICAL HYBRID SUPPORTS[J].Acta Mechnica Solida Sinica,2009,30(6). | |
| Authors: | Biao Li Hu Ding Liqun Chen |
| Abstract: | The paper studies transverse vibration of an axially moving Timoshenko beam subjected to unsymmetrical hybrid supports with randomly-variable spring coefficients at both sides. The transcendental equation and the eigenfunction are established then. Numerically solving these equations yields the natural frequencies and the corresponding model functions. Effect of constraint , beam stiffness and moving speed on the dynamic behavior of a beam in axial motion are examined carefully. Numerical examples are presented for the four beam models,namely,Timoshenko model,Rayleigh model,Shear model and Euler model, respectively,to examine the effect of shear modulus and moment of inertia. |
| Keywords: | axially moving beams Timoshenko model transverse vibration natural frequency modal function |
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