加速移动质量作用下简支梁的动态响应

Effect of accelerated moving mass on dynamic responses of simply supported beam

考虑移动质量块的加速度、质量和梁自身的质量等因素,研究了移动质量作加速运动时简支梁的动态响应.从简支梁的控制方程出发,采用伽辽金截断对简支梁模型进行离散化,由此形成了系统的动力学方程.数值分析时,首先考虑质量块作匀速移动时梁的动态响应,根据前人给出的结果验证了建模及计算的准确性和有效性;然后重点研究了质量块在加速移动时简支梁的动态响应,分析了加速度等参数对系统动态响应的影响.研究表明,质量块在匀速移动时和加速移动时,简支梁的动态响应有着显著的不同.

By taking into account the acceleration and gravity of the moving mass and the gravity of a simply supported beam, the dynamic responses of the beams under moving loads were investigated. From the governing equation of the beam, the beam model was discretized by Galerkin method and the corresponding dynamic equations of the system were formulated. Dynamic response of a simply supported beam with constant moving velocities was numerically calculated. The numerical results were compared with some previous results to verify the proposed numerical program. The dynamic responses of the beam systems with accelerated moving mass were obtained via numerical calculations. The effect of acceleration of moving mass on the dynamic responses was further discussed. The results show that the dynamic response of the beam with accelerated moving velocities differs the from dynamic one of the beam with constant velocities distinctly.