| 静载荷作用下柔韧圆板的大幅度振动 |
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| 引用本文： | 杜国君.静载荷作用下柔韧圆板的大幅度振动[J].应用力学学报,1994,11(4):43-50. |
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| 作者姓名： | 杜国君 |
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| 作者单位： | 东北重型机械学院 |
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| 摘 要： | 本文首先给出了均布载荷作用下柔韧圆板的大幅度振动方程，按文中给出的时间模态假设导了该问题的非线性耦合的代数和微分特征方程组，利用修正迭代法求出了该方程组的近似解析解，得到了柔韧圆振动的幅频－载荷特征关系，讨论了静载荷对其振动性态的影响。
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| 关 键 词： | 柔韧圆板 均布载荷 非线性 振动 |
Large Amplitude Vibration of Flexible Circular Plates under Static Load |
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| Du Guojun.Large Amplitude Vibration of Flexible Circular Plates under Static Load[J].Chinese Journal of Applied Mechanics,1994,11(4):43-50. |
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| Authors: | Du Guojun |
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| Abstract: | In this paper ,the differential equations of flexible circular plates under static load are derived,and a set of nonlinearly coupled algebraic and differential eigenvalue equations of the problem are for-mulated following an assumed time-mode approach suggestd,Analytic solutions are presented and arelation for amplitude frequency-load of the plates is derived by modified iteration method. The effectsof static load on vibrations of plates are investigated. |
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| Keywords: | flexible circular plate uniformed load nonlinear vibration amplitude frequency-load characteristic relation |
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