| 大挠度微曲矩形薄板的动力性质 |
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| 引用本文： | 董智法.大挠度微曲矩形薄板的动力性质[J].力学学报,1993,25(6):697-708. |
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| 作者姓名： | 董智法 |
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| 作者单位： | 中国科学院力学研究所; |
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| 摘 要： | 本文导出了由位移表示的带初始挠度的粘弹性大挠度矩形薄板的运动方程。在简支边界条件下,应用分歧理论和Melnikov方法,研究在周期外力作用下系统的动力行为。给出了出现次谐分枝和马蹄态的条件。
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| 关 键 词： | 大挠度 粘弹性 动力性质 薄板结构 |
DYNAMIC BEHAVIOUR OF LARGE DEFLECTION OF RECTANGULAR THIN-PLATE WITH INITIAL CURVATURE |
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| Dong Zhifa.DYNAMIC BEHAVIOUR OF LARGE DEFLECTION OF RECTANGULAR THIN-PLATE WITH INITIAL CURVATURE[J].chinese journal of theoretical and applied mechanics,1993,25(6):697-708. |
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| Authors: | Dong Zhifa |
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| Abstract: | In this paper the equations of motion for the large deflection problem of a visco-elastic rectangular thin plate with initial curvature are expressed in terms of three displacements at the midplane. For a simply supported plate subjected to transverse load, the dynamic response of the plate under periodic load is studied, and the criterion of arising subharmonic bifurcation and the horseshoe (or chaotic) state is given by the bifurcation theory and the Melnikov's method. |
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| Keywords: | visco-elastic large deflection bifurcation set subharmonic bifurcatio Melnikov's method |
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