| 层合薄壁圆柱壳1:1内共振研究 |
| |
| 引用本文： | 王延庆,梁力,郭星辉,楼玲娜.层合薄壁圆柱壳1:1内共振研究[J].振动与冲击,2011,30(9):10-14. |
| |
| 作者姓名： | 王延庆 梁力 郭星辉 楼玲娜 |
| |
| 作者单位： | 1.东北大学 应用力学研究所，辽宁 沈阳 110004； 2. 东北大学 资源与土木工程学院，辽宁 沈阳 110004 |
| |
| 基金项目： | 国家自然科学基金; 上海宝钢集团公司联合资助(50574019) |
| |
| 摘 要： | 针对一端固定，一端自由的层合薄壁圆柱壳模型，根据Donnell’s非线性简化壳理论建立其非线性振动方程。采用Galerkin方法对非线性振动方程进行离散化，应用平均法对系统包含两个相邻轴向模态的非线性振动响应进行了解析分析，与数值模拟进行了比较，并得到了不同参数对层合薄壁圆柱壳复杂的振动响应的影响。结果表明，1）由于所选的两个相邻轴向模态频率相距较近，能量在两个模态之间相互传递，系统存在1:1内共振现象；2）系统复杂的振动响应受激振力大小和非线性项的影响比较大，而对于阻尼不敏感。
|
| 关 键 词： | 层合圆柱壳 内共振 平均法 非线性 Donnell’s理论 |
Study on 1:1 internal resonance of thin laminated circular cylindrical shells |
| |
| WANG Yan-qing,LIANG Li,GUO Xing-hui,LOU Ling-na.Study on 1:1 internal resonance of thin laminated circular cylindrical shells[J].Journal of Vibration and Shock,2011,30(9):10-14. |
| |
| Authors: | WANG Yan-qing LIANG Li GUO Xing-hui LOU Ling-na |
| |
| Affiliation: | 1. Institute of Applied Mechanics, Northeastern University, Shenyang 110004, China；2. School of Resources & Civil Engineering, Northeastern University, Shenyang 110004, China |
| |
| Abstract: | A cantilever thin laminated circular cylindrical shell was investigated.Based on Donnell's nonlinear shallow shell theory,nonlinear wave equation of the system was derived,in which the effects of dynamic Young's modulus,damping and geometric large-amplitude were considered.Galerkin method was used to disperse the wave equation.Applying averaging method,the nonlinear response of the system was solved with two neighboring axial modes participation,and the results obtained were compared with those gained by nu... |
| |
| Keywords: | laminated circular cylindrical shell internal resonance averaging method nonlinearity Donnell's theory |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《振动与冲击》浏览原始摘要信息 |
|
点击此处可从《振动与冲击》下载全文 |
