| NONLINEAR VIBRATION OF CIRCULAR SANDWICH PLATES UNDER CIRCUMJACENT LOAD |
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| 作者姓名： | 杜国君 马建青 |
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| 作者单位： | Yanshan University, Qinhuangdao 066004, Hebei Province, P. R. China |
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| 摘 要： | Based on von Karman plate theory, the issue about nonlinear vibration for circular sandwich plates under circumjacent load with the loosely clamped boundary condition was researched. Nonlinear differential eigenvalue equations and boundary conditions of the problem were formulated by variational method and then their exact static solution can be got. The solution was derived by modified iteration method, so the analytic relations between amplitude and nonlinear oscillating frequency for circular sandwich plates were obtained. When circumjacent load makes the lowest natural frequency zero, critical load is obtained.
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| 关 键 词： | 非线性振动 临界负荷 振幅频率-负荷特征关系 夹层板 |
| 收稿时间： | 2005-09-20 |
| 修稿时间： | 2006-06-13 |
Nonlinear vibration of circular sandwich plates under circumjacent load |
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| Guo-jun Du Doctor,Jian-qing Ma.NONLINEAR VIBRATION OF CIRCULAR SANDWICH PLATES UNDER CIRCUMJACENT LOAD[J].Applied Mathematics and Mechanics(English Edition),2006,27(10):1417-1424. |
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| Authors: | Guo-jun Du Doctor Jian-qing Ma |
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| Institution: | Yanshan University,Qinhuangdao 066004,Hebei Province,P.R.China |
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| Abstract: | Based on von Karman plate theory, the issue about nonlinear vibration for circular sandwich plates under circumjacent load with the loosely clamped boundary condition was researched. Nonlinear differential eigenvalue equations and boundary conditions of the problem were formulated by variational method and then their exact static solution can be got. The solution was derived by modified iteration method, so the analytic relations between amplitude and nonlinear oscillating frequency for circular sandwich plates were obtained. When circumjacent load makes the lowest natural frequency zero, critical load is obtained. |
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| Keywords: | sandwich plate nonlinear vibration critical load buckling amplitudefrequency-load characteristic relation |
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