NON-STATIONARY PROBLEMS IN DYNAMICS OF A STRING ON AN ELASTIC FOUNDATION SUBJECTED TO A MOVING LOAD
NON-STATIONARY PROBLEMS IN DYNAMICS OF A STRING ON AN ELASTIC FOUNDATION SUBJECTED TO A MOVING LOAD
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DOI：
10.1006/jsvi.1998.2051
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发表时间：
1999-05
影响因子：
4.7
通讯作者：
S. Gavrilov
中科院分区：
文献类型：
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作者：
S. Gavrilov
本文研究了移动荷载作用下弹性地基上无限长弦的动力学问题。载荷由一个移动的集中力模拟。本文采用了解析和数值相结合的方法。对非平稳问题进行了分析。特别研究了加速载荷通过声速时的波动过程。结果表明，当载荷的速度等于临界速度时，产生沿弦以音速传播的波前。对于大的时间值，得到了描述该前沿的渐近解。它允许对溶液的定性性质进行研究。该解与数值模拟结果吻合较好。
Abstract The dynamics of an infinite string on an elastic foundation subjected to a moving load is under investigation in this paper. The load is modelled by a moving concentrated force. Both analytical and numerical methods are used. Non-stationary problems are analyzed. In particular the wave process caused by the accelerating load passing through the sonic speed is investigated. It is shown tht the load at the moment when its speed is equal to the critical velocity gives rise to a wave front travelling at the sonic speed along the string. The asymptotical solution describing this front for large values of time is obtained. It allows the investigation of the qualitative properties of the solution. This solution and the results obtained in the numerical simulation carried out are in a good agreement.