GENERAL SOLUTION FOR DYNAMICAL PROBLEM OF INFINITE BEAM ON AN ELASTIC FOUNDATION

Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (7): 633-637.

GENERAL SOLUTION FOR DYNAMICAL PROBLEM OF INFINITE BEAM ON AN ELASTIC FOUNDATION

郑小平, 王尚文, 陈百屏

Northwestern Polytechnical University, Xi’an

收稿日期:1990-07-11 出版日期:1991-07-18 发布日期:1991-07-18

GENERAL SOLUTION FOR DYNAMICAL PROBLEM OF INFINITE BEAM ON AN ELASTIC FOUNDATION

Zheng Xiao-ping, Wang Shang-wen, Chen Bai-ping

Northwestern Polytechnical University, Xi’an

Received:1990-07-11 Online:1991-07-18 Published:1991-07-18

摘要/Abstract

摘要： 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.

关键词: elastic foundation, infinite beam, dynamical problem, general solution, integral transformation method

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.

Key words: elastic foundation, infinite beam, dynamical problem, general solution, integral transformation method

郑小平;王尚文;陈百屏. GENERAL SOLUTION FOR DYNAMICAL PROBLEM OF INFINITE BEAM ON AN ELASTIC FOUNDATION[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(7): 633-637.

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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GENERAL SOLUTION FOR DYNAMICAL PROBLEM OF INFINITE BEAM ON AN ELASTIC FOUNDATION

GENERAL SOLUTION FOR DYNAMICAL PROBLEM OF INFINITE BEAM ON AN ELASTIC FOUNDATION

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