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A NEW METHOD FOR VIBRATION RESPONSE OF BEAM ON FOUNDATION UNDER MOVING LOAD

机译:动荷载作用下梁在基础上振动响应的新方法

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摘要

In this research, an approach combining the precise time integration method (PTIM) and mode decomposition method is proposed to compute the response of beam structures resting on viscoelastic foundation. The PTIM has high precision, high efficiency, but it still suffers from the problem of large-size matrices when directly computing structure. And this problem can be overcome by mode superposition. Thus, the present paper integrates the PTIM and mode decomposition method together which holds the explicit recurrence form of precise algorithm. Comparing with the other numerical methods, it is found that the presented method is much more precisely and time-saving. The effect of the speed of moving load, the foundation stiffness and the length of the beam on the response of beam have also been studied. These numerical computation results show that the present method is effective and feasible.
机译:在这项研究中,提出了一种将精确时间积分方法(PTIM)与模式分解方法相结合的方法来计算基于粘弹性基础的梁结构的响应。 PTIM精度高,效率高,但是直接计算结构时仍然存在矩阵大的问题。而这个问题可以通过模式叠加来克服。因此,本文将PTIM与模式分解方法集成在一起,从而保留了精确算法的显式递归形式。与其他数值方法相比,发现该方法更加精确,省时。还研究了移动载荷的速度,梁的基础刚度和长度对梁响应的影响。这些数值计算结果表明,该方法是有效可行的。

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