General Solution for Dynamical Problem of Infinite Beam on an Elastic Foundation

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

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Article Navigation > Applied Mathematics and Mechanics > 1991 > 12(7): 593-597

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, 1991, 12(7): 593-597.

Citation:

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, 1991, 12(7): 593-597.

Citation:

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, 1991, 12(7): 593-597.

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General Solution for Dynamical Problem of Infinite Beam on an Elastic Foundation

Northwestern Polytechnical University, Xi'an

Received Date: 1990-07-11
Publish Date: 1991-07-15

Abstract

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.
- elastic foundation,
- infinite beam,
- dynamical problem,
- general solution,
- integral transformation method

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References(6)

References

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