弹性地基无限长梁动力问题的一般解

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

摘要: 本文从Euler-Bernoulli梁出发,对弹性地基采用Winkler假定,建立了问题的数学模型.然后对空间变量和时间变量分别进行Fourier变换和Laplace变换,利用逆变换褶积积分,得到了弹性地基无限长梁一般动力问题的解析解.最后对自由振动,脉冲激励和运动载荷情况分别进行了讨论.
- 弹性地基 /
- 无限长梁 /
- 动力问题 /
- 一般解 /
- 积分变换方法
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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