| 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 |
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| 引用本文： | 金波.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[J].应用数学和力学,1998,19(2):145-150. |
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| 作者姓名： | 金波 |
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| 作者单位： | 同济大学结构理论研究所 |
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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 |
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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| Jin Bo.Using Fredholm Integral Equation of the Second Kind to Solve the Vertical Vibration of Elastic Plate on an Elastic Half Space[J].Applied Mathematics and Mechanics,1998,19(2):145-150. |
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| Authors: | Jin Bo |
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| 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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| Keywords: | elastic half space elastic plate dynamic response Fredholm integral equation of the second kind |
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