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| Timoshenko薄壁梁双向弯曲与扭转耦合的振动方程及求解 | |
| 引用本文： | 黄君毅,王勇,罗旗帜.Timoshenko薄壁梁双向弯曲与扭转耦合的振动方程及求解[J].佛山科学技术学院学报(自然科学版),2009,27(1):54-58. |
| 作者姓名： | 黄君毅 王勇 罗旗帜 |
| 作者单位： | 1. 广州市鲁班建筑防水补强公司,广东,广州,510665 2. 华南理工大学交通与土木学院,广东,广州,510641 3. 佛山科学技术学院土木工程与建筑系,广东,佛山,528000 |
| 基金项目： | 国家自然科学基金，广东省自然科学基金 |
| 摘 要： | 基于薄壁杆件理论,研究了Timoshenko薄壁梁双向弯曲与扭转耦合的振动问题。根据Timoshenko梁的受力特性,考虑了剪切效应影响,给出了薄壁梁质点的位移系数和空间位移场。根据能量泛函变分原理导出了Timoshenko薄壁梁的振动微分方程。运用降阶法和频率扫描法求得微分方程的解析解。算例计算表明,此解析解与有限元法的结果吻合较好。 |
| 关 键 词： | Timoshenko薄壁梁 弯扭耦合 振动微分方程 解析解 |
Solution of oscillation equation in timoshenko thin-walled beam considering coupled compound bending and twisting |
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| HUANG Jun-yi,WANG Yong,LUO Qi-zhi.Solution of oscillation equation in timoshenko thin-walled beam considering coupled compound bending and twisting[J].Journal of Foshan University(Natural Science Edition),2009,27(1):54-58. | |
| Authors: | HUANG Jun-yi WANG Yong LUO Qi-zhi |
| Institution: | 1.Guangzhou Luban Construction Waterproof and Reinfrcing Material CO.LTD;Guangzhou 510665;China;2.School of Civil Engineering and Transportation;South China University of Technology;Guangzhou 510641;3.Department of Civil Engineering and Architecture;Foshan University;Foshan 528000;China |
| Abstract: | Based on the theory of thin-walled structures,the coupled bending and torsional vibration of thin-walled beam was researched in this paper.The displacement parameters and space displacement field of thin-walled beam were given by considering shearing effect and mechanic performance of timoshenko beam.Oscillatory differential equation of the timoshenko thin-walled beam was deduced based on functional variation principle.Analytic solution of differential equation was deduced by using method of order reducing ... |
| Keywords: | timoshenko thin-walled beam coupling of bending and torsional oscillatory differential equation analytic solution |
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