| 轴向运动Timoshenko固支梁固有频率的数值仿真 |
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| 引用本文： | 张计光,胡超荣,唐有绮,孟沥原.轴向运动Timoshenko固支梁固有频率的数值仿真[J].上海大学学报(自然科学版),2011,17(5):648-652. |
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| 作者姓名： | 张计光 胡超荣 唐有绮 孟沥原 |
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| 作者单位： | 1.上海大学 上海市应用数学和力学研究所，上海 200072; 2.日照职业技术学院，山东 日照 276826; 3.同济大学 物理系，上海 200092 |
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| 基金项目： | 上海市重点学科建设资助项目(S30106); 长江学者和创新团队发展计划基金资助项目(IRT0844); 上海大学创新基金资助项目(A.16-0401-08-005) |
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| 摘 要： | 运用Galerkin方法和微分求积法求解固支边界轴向运动Timoshenko梁的固有频率.讨论系统的前两阶固有频率随轴向速度、刚度系数变化的情况，并将这2种方法得到的数值计算结果与复模态分析方法得到的精确解进行比较，发现用微分求积法和复模态分析法得到的结果几乎重合，而用Galerkin方法得到的结果在随刚度系数的增加和速度的增大时有所差异.
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| 关 键 词： | Galerkin方法 Timoshenko模型 固有频率 微分求积法 轴向运动梁 |
| 收稿时间： | 2010-05-31 |
Numerical Simulation of Natural Frequencies of Axially Moving Timoshenko Fixed Beams |
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| ZHANG Ji-guang,HU Chao-rong,TANG You-qi,MENG Li-yuan.Numerical Simulation of Natural Frequencies of Axially Moving Timoshenko Fixed Beams[J].Journal of Shanghai University(Natural Science),2011,17(5):648-652. |
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| Authors: | ZHANG Ji-guang HU Chao-rong TANG You-qi MENG Li-yuan |
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| Institution: | 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; 2. Rizhao Polytechnic, Rizhao 276826, Shandong, China; 3. Department of Physics, Tongji University, Shanghai 200092, China |
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| Abstract: | Natural frequencies of axially moving beams with fixed supports are analyzed based on the Timoshenko model by using the Galerkin method and the differential quadrature method.Numerical examples are presented to show effects of the related parameters on the frequencies,such as axial speed and stiffness.Results obtained with the differential quadrature and the complex mode methods are in good agreement,while the results obtained with the Galerkin method are slightly different. |
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| Keywords: | Timoshenko model axially moving beams natural frequencies Galerkin method differential quadrature method |
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