| 温度场中非线性弹性地基上矩形薄板的1/3次亚谐共振 |
| |
| 引用本文： | 赵雪娟,杨志安. 温度场中非线性弹性地基上矩形薄板的1/3次亚谐共振[J]. 唐山学院学报, 2007, 20(6): 8-11,16 |
| |
| 作者姓名： | 赵雪娟 杨志安 |
| |
| 作者单位： | 唐山学院,唐山市结构与振动工程重点实验室,河北,唐山,063000 |
| |
| 基金项目： | 河北省唐山市结构与振动工程重点实验室应用基础研究项目 |
| |
| 摘 要： | 为了研究温度场中非线性地基上矩形薄板受简谐激励的1/3次亚谐共振问题,应用弹性力学理论建立其动力学方程,应用Galerkin方法将其转化为非线性振动方程。利用非线性振动的多尺度分析方法求得系统1/3次亚谐共振的近似解,并进行数值计算。分析温度、地基系数、阻尼、几何参数、激励等对系统3次超谐共振的影响。得到了随参数变化响应曲线的变化规律。
|
| 关 键 词： | 温度场 非线性地基 矩形薄板 多尺度法 1/3次亚谐共振 |
| 文章编号： | 1672-349X（2007）06-0008-04 |
| 收稿时间： | 2007-09-02 |
| 修稿时间： | 2007-09-02 |
1/3 Subharmonic Resonance of a Thin Rectangular Plate on Nonlinear Foundation in Temperature Field |
| |
| ZHAO Xue-juan,YANG Zhi-an. 1/3 Subharmonic Resonance of a Thin Rectangular Plate on Nonlinear Foundation in Temperature Field[J]. Journal of Tangshan College, 2007, 20(6): 8-11,16 |
| |
| Authors: | ZHAO Xue-juan YANG Zhi-an |
| |
| Abstract: | In order to study 1/3 subharmonic resonance of a thin rectangular plate on nonlinear foundation in temperature field,nonlinear dynamical equation of the system is established with the application of elastic theory.Nonlinear vibration equation is obtained based on Galerkin's method. By means of the method of multiple scales for nonlinear vibrations the approximation solution of 1/3 subharmonic resonance of the system is acquired.Numerical analysis of the influence of temperature,foundation coefficient,damping,geometric parameter,and excitation on the system is carried out.The change laws of response curve with changing parameters are obtained. |
| |
| Keywords: | temperature field nonlinear foundation thin rectangular plate the method of multiple scales 1/3 subharmonic resonance |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
