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Natural Frequencies and Mode Shapes of a Square Plate with Discontinuous Boundary Conditions

机译：具有不连续边界条件的方形板的固有频率和模态形状

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摘要

The natural frequencies and mode shapes are theoretically determined for a simply supported square plate with discontinuous boundary conditions created by clamping segments of the boundary. Two different clamping configurations are investigated: (1) partial clamping at the end of one edge, and (2) partial clamping on opposite edges. Satisfying the conditions of clamping leads to a Fredholm integral equation of the first kind for the first clamping configuration and a system of integral equations for the second configuration. The frequencies are found by approximating the integral equations with a finite set of homogeneous algebraic equations and insisting that this set have a nontrival solution. (Author)

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作者
Marsh, J. E.;
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年度 1971
页码 p.1-100
总页数 100
原文格式 PDF
正文语种 eng
中图分类
关键词
Metal plates ; Vibration ; Resonant frequency ; Integral equations ; Equations of motion ; Clamps ; Graphics ; Matrix algebra ; Computer programs ; Theses;

机译：金属板;振动;谐振频率;积分方程;运动方程;夹具;图形;矩阵代数;计算机程序;论文;

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Natural Frequencies and Mode Shapes of a Square Plate with Discontinuous Boundary Conditions

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