| GENERAL SOLUTION FOR DYNAMICAL PROBLEM OF INFINITE BEAM ON AN ELASTIC FOUNDATION |
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| 作者姓名： | 郑小平 王尚文 陈百屏 |
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| 作者单位： | Northwestern Polytechnical University，Xi'an，Northwestern Polytechnical University，Xi'an，Northwestern Polytechnical University，Xi'an |
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| 摘 要： | Based on the theory of Euler-Bernoulli beam and Winkler assumption for elasticfoundation,a mathematical model is presented.By using Fourier transformation for spacevariable,Laplace transformation for time variable and convolution theorem for theirinverse transformations,a general solution for dynamical problem of infinite beam on anelastic foundation is obtained.Finally,the cases of free vibration,impulsive response andmoving load are also discussed.
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| 收稿时间： | 11 July 1990 |
General solution for dynamical problem of infinite beam on an elastic foundation |
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| Zheng Xiao-ping,Wang Shang-wen,Chen Bai-ping.GENERAL SOLUTION FOR DYNAMICAL PROBLEM OF INFINITE BEAM ON AN ELASTIC FOUNDATION[J].Applied Mathematics and Mechanics(English Edition),1991,12(7):633-637. |
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| Authors: | Zheng Xiao-ping Wang Shang-wen Chen Bai-ping |
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| Affiliation: | (1) Northwestern Polytechnical University, Xi'an |
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| Abstract: | Based on the theory of Eider-Bernoulli beam and Winkler assumption for elastic foundation, a mathematical model is presented. By using Fourier transformation for space variable, Laplace transformation for time variable and convolution theorem for their inverse transformations, a general solution for dynamical problem of infinite beam on an elastic foundation is obtained. Finally, the cases of free vibration,impulsive response and moving load are also discussed. |
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| Keywords: | elastic foundation infinite beam dynamical problem general solution integral transformation method |
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