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首页> 外文会议>3rd Contact Mechanics International Symposium Jun 17-21, 2001 Peniche, Portugal >LONGITUDINAL WAVES IN ELASTIC RODS WITH DISCONTINUOUS CROSS SECTIONS
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LONGITUDINAL WAVES IN ELASTIC RODS WITH DISCONTINUOUS CROSS SECTIONS

机译：具有不连续横截面的弹性杆中的纵波

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In this paper longitudinal impact waves in an elastic rod with discontinuous cross section struck by a rigid sphere are studied numerically and experimentally. In a rod with finite length, waves move back and forth along the rod; therefore, it may happen that two incident waves cross a discontinuity interface simultaneously. Thus, the reflected and transmitted waves induced at the interface will influence the incident waves due to the wave reflection at both ends of the rod. For these general cases, to the authors' knowledge, there are no computational methods for the transmitted and reflected waves. This problem will be addressed in this paper in some detail. In the numerical simulations, the classical Hertzian contact law and the wave equation are combined to compute impact responses. In the experimental setup, advanced instruments like Laser-Doppler-Vibrometers for measuring the high frequency impact responses are used. It is shown that numerical results computed by this approach agree very well with experimental results.
机译：本文通过数值和实验研究了具有不连续横截面的弹性杆中被刚性球体撞击的纵向冲击波。在长度有限的杆中，波沿着杆来回移动；因此，可能会发生两个入射波同时穿过不连续界面的情况。因此，由于在杆的两端的波反射，在界面处感应的反射波和透射波将影响入射波。对于这些一般情况，据作者所知，没有用于透射波和反射波的计算方法。此问题将在本文中详细介绍。在数值模拟中，经典的赫兹接触定律和波动方程相结合来计算冲击响应。在实验设置中，使用了先进的仪器（例如激光多普勒振动计）来测量高频冲击响应。结果表明，该方法计算出的数值结果与实验结果非常吻合。

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