| 周边面内压力作用下夹层圆板的非线性振动 |
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| 引用本文： | 杜国君,马建青.周边面内压力作用下夹层圆板的非线性振动[J].应用数学和力学,2006,27(10):1243-1249. |
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| 作者姓名： | 杜国君 马建青 |
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| 作者单位： | 燕山大学,建筑工程与力学学院,河北,秦皇岛,066004 |
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| 摘 要： | 基于von Kármán薄板理论,讨论了滑动固定基础上周边面内压力作用下夹层圆板的非线性振动问题,应用变分法导出了该问题的非线性特征方程和边界条件,给出了其精确静态解,并使用修正迭代法求解了该方程,导出了夹层圆板振幅和非线性振频的解析关系式.当周边面力使夹层圆板的最低固有频率为零时,就可获得临界载荷的值.
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| 关 键 词： | 夹层圆板 非线性振动 临界载荷 屈曲 幅频-载荷特征关系 |
| 文章编号： | 1000-0887（2006）10-1243-07 |
| 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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| DU Guo-jun,MA Jian-qing.Nonlinear Vibration of Circular Sandwich Plates Under Circumjacent Load[J].Applied Mathematics and Mechanics,2006,27(10):1243-1249. |
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| Authors: | DU Guo-jun MA Jian-qing |
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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 is 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 amplitude frequency-load characteristic relalion |
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