移动质量-梁耦合系统的动态响应分析

Dynamic response analysis on moving mass-beam coupling system

在建立了移动质量-梁耦合系统振动方程的基础上,针对时变力学系统采用Newmarkβ逐步积分法进行求解.对不同运动状态移动质量作用下的简支梁动态响应进行研究,得到在移动质量的初速度和加速度两个运动参数变化的情况下梁的挠度变化规律.数值模拟结果表明:移动质量作用下,梁的挠度曲线是以一定频率围绕静挠度线的一种类正弦波,移动质量的惯性作用对梁动态响应的影响不能忽略.

Based on the vibration equation of moving mass-beam coupling system, the Newmark-P successive integration method is used to solve the time-variable mechanical system. By investigating the moving masses into dynamic responses from simply-supported beam under different moving conditions, the deflec- tion variation principle is obtained from the variations of two moving parameters, i. e. initial speed and ac- celeration. Accordingly,it is found from numerical simulation results that the beam reflection curve is a kind of sinusoidal waves with a specific frequency around static reflection curve under moving gravity. Therefore, the inertia effect of moving mass UDOn beam dynamic response cannot be ignored.