用第二类Fredholm积分方程求解弹性半空间上弹性板的垂直振动
Using Fredholm Integral Equation of the Second Kind to Solve the Vertical Vibration of Elastic Plate on an Elastic Half Space
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摘要: 根据混合边值条件,建立均布简谐荷载作用下弹性半空间上弹性板振动的对偶积分方程.用Abel变换化对偶积分方程为第二类Fredholm积分方程,并进行了数值计算.
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关键词:
- 弹性半空间 /
- 弹性板 /
- 动力响应 /
- 第二类Fredholm积分方程
Abstract: The dual integral equations of vertical forced vibration of elastic plate on an elastic half space subject to harmonic uniform distribution loading are established according to the mixed boundary-value condition.By applying Abel transformation the dual integral equations are reduced to Fredholm integral equation of the second kind which is solved numerically. -
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