ON THE NON-LINEAR VIBRATION OF THE VON KARMAN SQUARE PLATE BY THE IHB METHOD
ON THE NON-LINEAR VIBRATION OF THE VON KARMAN SQUARE PLATE BY THE IHB METHOD
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基于IHB法研究Von KARMAN方板的非线性振动
DOI：
10.1006/jsvi.1997.0934
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发表时间：
1997
影响因子：
4.7
通讯作者：
S. Chui
中科院分区：
文献类型：
--
作者：
A. Leung;S. Chui
摘要 研究了方板在横向力作用下振动的非线性现象。从控制板运动的冯卡门偏微分方程的动态模拟出发，导出了二阶非线性常微分方程组。使用 IHB 方法进行数值分岔分析，检查空间模式之间的相互作用。给出了许多共振曲线和分岔图。
Abstract Non-linear phenomena in the vibration of a square plate subject to lateral forcing are studied. Starting from the dynamic analogue of the von Karman partial differential equations that govern the motion of the plate, a system of second order non-linear ordinary differential equations are derived. Using the IHB method, a numerical bifurcation analysis is performed in which interaction between spatial modes is examined. A number of diagrams of resonance curves and bifurcation are presented.