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A GENERAL SOLUTION OF FREE VIBRATION FOR RECTANGULAR THIN PLATES IN HAMILTON SYSTEMS
Author(s): 
Pages: 10-16
Year: Issue:  2
Journal: JOURNAL OF DYNAMICS AND CONTROL

Keyword:  哈密顿体系薄板自由振动本征向量;
Abstract: 根据弹性薄板自由振动问题的基本方程,把问题引入到哈密顿对偶体系中.x方向模拟为时间,选取弯矩,等效剪力,转角和挠度为对偶向量,得到了在不同边界条件时关于x轴对称和反对称时的解析解.算例研究了四边固支薄板的自由振动情形,从而推广了哈密顿体系的应用范围,验证了哈密顿体系求解方法在自由振动问题中的有效性.
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