| 非线性弹性地基上圆形薄板三次超谐共振 |
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| 引用本文： | 杨志安,贾彩利,彭震.非线性弹性地基上圆形薄板三次超谐共振[J].地震工程与工程振动,2006,26(3):77-79. |
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| 作者姓名： | 杨志安 贾彩利 彭震 |
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| 作者单位： | 1. 天津大学,机械工程学院,天津,300072;唐山学院,唐山市结构与振动工程重点实验室,唐山,063000
2. 唐山学院,唐山市结构与振动工程重点实验室,唐山,063000 |
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| 摘 要： | 本文研究非线性地基上圆形薄板受简谐激励的次谐波共振问题。按照弹性力学理论建立非线性地基上圆形薄板受简谐激励的动力学方程。利用Galerk in方法将其转化为非线性振动方程。应用非线性振动的多尺度法求得系统满足3次超谐共振条件的一次近似解,并进行数值计算。分析阻尼、地基系数、调谐值、激励等参数对共振响应曲线的影响。
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| 关 键 词： | 非线性地基 Galerkin方法 多尺度法 超谐共振 圆板 |
| 文章编号： | 1000-1301（2006）03-0077-03 |
| 收稿时间： | 2005-12-03 |
| 修稿时间： | 2005-12-032006-03-01 |
Superharmonic resonances of a thin circular plate on nonlinear foundation |
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| Yang Zhian,Jia Caili,Peng Zhen.Superharmonic resonances of a thin circular plate on nonlinear foundation[J].Earthquake Engineering and Engineering Vibration,2006,26(3):77-79. |
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| Authors: | Yang Zhian Jia Caili Peng Zhen |
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| Institution: | 1. School of Mechanical Engineering, Tianjin University, Tianjin 300072, China; 2. Key Lab of Structure and Vibration Engineering of Tangshan and Tangshan College, Tangshan 063000, China |
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| Abstract: | Study on the superharmonic resonances of a externally excited thin circular plate on the nonlinear foundation is presented.Applying elastic theory,the nonlinear dynamical equation of the system is established.Nonlinear oscillation equation is obtained based on the Galerkin's method.By means of the method of multiple scales for nonlinear oscillations the approximate solution of the superharmonic resonances of the system is acquired.Numerical(analysis) of the influence of damping,foundation coefficient,detuning,and excitation on the system is carried out. |
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| Keywords: | nonlinear foundation method of multiple scales superharmonic resonances circular plate |
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