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The Exact Solutions for a Point Mass Moving along a Stretched String on a Winkler Foundation

机译:温克勒基础上沿拉伸弦移动的点质量的精确解

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This paper derives the exact solutions for a point mass moving along a stretched infinite string on a Winkler foundation at a constant velocity. The solutions for the contact force between the string and the mass are derived and then the displacement responses of the string can be obtained easily. The solutions cover infinite string subjected to a moving mass at subsonic, sonic, or supersonic velocities. When time tends to infinity, the asymptotical solutions for the contact force between the mass and the string and for the displacement of the contact point are derived. The formulas derived are shown to be correct by comparison with the semianalytical method.
机译:本文得出了点质量在Winkler基础上以恒定速度沿拉伸的无限弦运动的精确解。得出了弦与质量之间的接触力的解,然后可以轻松获得弦的位移响应。该解决方案涵盖了以亚音速,音速或超音速速度承受运动质量的无限弦。当时间趋于无穷大时,得出质量与弦之间的接触力以及接触点的位移的渐近解。通过与半分析方法进行比较,得出的公式是正确的。

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