| 弹性地基上加热圆板的非线性轴对称自由振动 |
| |
| 引用本文： | 赵伟东,杨亚平,李秀莲.弹性地基上加热圆板的非线性轴对称自由振动[J].宁夏大学学报(自然科学版),2011,32(1):39-42. |
| |
| 作者姓名： | 赵伟东 杨亚平 李秀莲 |
| |
| 作者单位： | 青海大学土木工程学院,青海西宁,810016 |
| |
| 基金项目： | 青海大学中青年科研基金资助项目 |
| |
| 摘 要： | 基于von Karman薄板理论和Hamilton原理,运用假设时间模态法,得到了弹性地基上加热圆板非线性轴对称自由振动的常微分控制方程.考虑不可移简支边界条件,采用打靶法得到了一阶屈曲位形下的前3阶振型的数值结果.结果表明:随地基弹性系数增加,热屈曲临界温度增加;在小振幅的情形下,振型对屈曲构型的影响和地基系数对振型...
|
| 关 键 词： | 弹性地基 圆板 热屈曲 非线性自由振动 自然频率 打靶法 |
The Nonlinear Axisymmetric Free Vibration of A Heated Circular Plates on Elastic Foundation |
| |
| Zhao Weidong,Yang Yaping,Li Xiulian.The Nonlinear Axisymmetric Free Vibration of A Heated Circular Plates on Elastic Foundation[J].Journal of Ningxia University(Natural Science Edition),2011,32(1):39-42. |
| |
| Authors: | Zhao Weidong Yang Yaping Li Xiulian |
| |
| Institution: | Zhao Weidong,Yang Yaping,Li Xiulian (School of Civil Engineering,Qinghai University,Xining 810016,China) |
| |
| Abstract: | Based on von Karman's plate theroy and Hamilton's principal,the ordinary differential control equations of the nonlinear axisymmetric free vibration of a heated circular plates on elastic foundation are obtained by using method of assumed-time-mode.Considering immovable simply supported boundary conditions,the numerical results of the first to third vibration modes under the first buckling mode are obtained by employing the shooting method.The results show that the critical temperature of thermal buckling w... |
| |
| Keywords: | elastic foundation circular plate thermal buckling nonlinear free vibration natural frequency shooting method |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
