重物对梁的冲击力计算研究

Calculation of Beam’s Impact Force under Impact of a Mass

研究了重物对梁的冲击问题.采用伽辽金原理及拉普拉斯变换推导出了物体对梁的冲击力解析表达式.并通过数值实例,讨论了梁的跨度、梁高、缓冲垫刚度、重物下落高度、重物质量等因素对重物对梁冲击力的影响,并绘出了冲击力随时间的变化曲线.算例表明:用该法求冲击力问题,结果精确,计算简便,便于工程设计人员在实际工作中应用.

The issue of the beam＇s impact force under impact of a mass was studied. The formula for the beam＇s impact force was deduced by using the Galerkin Principle and Laplace Transform. At the same time, the factors that affect the impact force such as the beam＇s span and height , the absorption cushion＇s stiffness, the altitude of the dropping mass as well as the mass＇s weight were discussed, and the curves of the impact force versus time were presented for the numerical example. The example indicted that the above method of calculating the impact force was not only correct but also simple and easy to be applied by engineers.