【摘要】 对矩形截面自由梁在两端同时受到完全相同的集中质量横向撞击问题进行了理论上的研究 ,通过采用刚塑性的材料模型得到了其动力响应完全解。结合数值方法给出了梁的瞬态变形 ,并讨论了输入能量、质量比等参数对梁的最终变形、能量耗散的影响。针对典型算例将完全解的结果与MSC/Dytran的计算结果进行了比较 ,两者具有合理的近似 ,但理论预测的结果略高估计了梁的最终变形。更多还原

【Abstract】 The dynamic response of a free free beam with uniform rectangular cross section subjected to impact by a mass at both free end is analyzed theoretically. The complete solution is obtained by adopting a theoretical model based on the rigid, perfectly plastic material idealization, and the instantaneous profiles of beam are presented by the analysis of complete solution and numerical method. Influence of the input energy and mass ratio on the final deflection, traveling plastic hinge position and energy partitioning of the beam are discussed. Our prediction shows a reasonable agreement with the numerical result calculated by MSC/Dytran code for a typical example, only slight overestimating the final deformation of the beam.更多还原