| 弹性地基上自由边矩形板的弯曲 |
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| 引用本文： | 李昭银,钱正民. 弹性地基上自由边矩形板的弯曲[J]. 河海大学学报(自然科学版), 1986, 0(2) |
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| 作者姓名： | 李昭银 钱正民 |
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| 作者单位： | 华东水利学院工程力学系，华东水利学院工程力学系 |
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| 摘 要： | 本文采用有限傅里叶余弦变换法,建立了求解四边自由基础板的典型方程组.应用拉氏变换,给出六种特殊荷载作用下常微分方程式的特解,从而可以求出它们所对应的弯曲问题的精确解.文中给出两个算例.应用本文提供的方法,可以计算一些工程结构问题,例如水闸底板等.
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| 关 键 词： | 基础板 有限傅里叶余弦变换法 挠度 弯矩 |
Bending of Free Rectangular Plate on Elastic Foundation |
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| Li Zhaoyin, Qian Zhengmin. Bending of Free Rectangular Plate on Elastic Foundation[J]. Journal of Hohai University (Natural Sciences ), 1986, 0(2) |
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| Authors: | Li Zhaoyin Qian Zhengmin |
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| Affiliation: | Li Zhaoyin; Qian Zhengmin |
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| Abstract: | In this paper the Finite Fourier Cosine Transformation Method is used to obtain a system of linear equations for solution on bending of free rectangular plates on the elastic foundation. The particular Solutions of the differential equations corresponding to six loadings are given by using Lapace Transformation Method and the bending problems under these loadings may then be solved accurately. Two examples are presented. By using the method presented in this paper some structures in engineering projects can be calculated, such as lock foundation plates, etc. |
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| Keywords: | foundation plate the Finite Fourier Cosine Transformation Method deflection bending moment. |
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