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| 基于Galerkin法的旋转薄壁圆柱壳非线性行波振动的数值分析 | |
| 引用本文： | 李健,郭星辉,李永刚,颜云辉,董家林.基于Galerkin法的旋转薄壁圆柱壳非线性行波振动的数值分析[J].振动与冲击,2008,27(12). |
| 作者姓名： | 李健 郭星辉 李永刚 颜云辉 董家林 |
| 作者单位： | 1. 东北大学,机械工程与自动化学院,沈阳,110004;东北大学,理学院,沈阳,110004 2. 东北大学,理学院,沈阳,110004 3. 东北大学,机械工程与自动化学院,沈阳,110004 4. 北方重工沈重集团公司,沈阳,110004 |
| 基金项目： | 国家自然科学基金和上海宝钢集团公司联合资助 |
| 摘 要： | 应用Donnell's简化壳理论,在考虑阻尼和几何非线性的情况下,基于Galerkin方法,对旋转的薄壁悬臂圆柱壳在法向激振力作用下的非线性行波振动进行了数值分析.在研究过程中,首先,考虑阻尼并引入几何非线性项,建立薄壁圆柱壳的非线性波动方程,然后,采用Galerkin方法对波动方程进行转换,选取不同的模态组合,得到相应模态坐标下的非线性微分方程,最后用Runge-Kutta法进行数值计算并对圆柱壳的非线性波动振动特性进行了分析.结果表明,几何非线性使圆柱壳呈现明显的硬特性,其硬特性随激振力幅值的增大而得到加强,共振区存在多值性,多模态分析表明,轴向二阶模态对主模态影响较大,计算时宜采用两个轴向模态. |
| 关 键 词： | 行波振动 几何非线性 模态坐标 主模态 轴向模态 |
NUMERICAL ANALYSIS OF NONLINEAR TRAVELLING WAVE VIBRATION OF ROTATING THIN CYLINDRICAL SHELLS BASED ON GALERKIN'S METHOD |
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| LI Jian,GUO Xing-hui,LI Yong-gang,YAN Yun-hui,DONG Jia-lin.NUMERICAL ANALYSIS OF NONLINEAR TRAVELLING WAVE VIBRATION OF ROTATING THIN CYLINDRICAL SHELLS BASED ON GALERKIN'S METHOD[J].Journal of Vibration and Shock,2008,27(12). | |
| Authors: | LI Jian GUO Xing-hui LI Yong-gang YAN Yun-hui DONG Jia-lin |
| Affiliation: | LI Jian1,2,GUO Xing-hui2,LI Yong-gang2,YAN Yun-hui1,DONG Jia-lin3(1.School of Mechanical Engineering & Automation,Northeastern University,Shenyang 110004,China,2.School of Science,3.Northern Heavy Shenyang Heavy Machinery Group Co.,Ltd.,China) |
| Abstract: | A numerical analysis was made to study the nonlinear travelling wave vibration of a cantilever rotating thin cylindrical shell under the action of a normal exciting force,taking damping and geometric nonlinearities into account,using Donnell's shallow shell theory and based on Galerkin's method.In the analysis,a nonlinear wave vibration equation of the thin cylindrical shell including damping and items due to geometric nonlinearities was established and then transformed by Galerkin's method.With different c... |
| Keywords: | travelling wave vibration geometric nonlinearity mode coordinate main mode axial mode |
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