以斜支承弹簧系统为研究对象,建立了跌落冲击条件下系统无量纲非线性动力学方程。利用龙格-库塔数值分析方法求解动力学方程,讨论了无量纲跌落冲击速度、系统支承角及阻尼等对系统响应的影响。研究表明,随着无量纲跌落冲击速度的增加,系统位移响应峰值和加速度响应峰值增加;随着支承角的减小,位移响应峰值增大,加速度响应峰值减小;阻尼对系统响应影响显著,对系统加速度峰值影响存在最佳阻尼比,最佳阻尼比随系统支承角减小而减小。通过适当地选取阻尼比及支承角可有效地改善系统的抗冲击能力。

Dimensionless nonlinear vibration equations of tilted support spring system under dropping condition were established. The dynamic equations were solved by using Runge-Kutta method. The influence of dimensionless dropping impact speed, the support angle of system, and damping ratio on the system response were discussed. The result showed that the maximum shock response displacement and the maximum shock response acceleration increases with increasing of dimensionless dropping impact speed; with decreasing of support angle, the maximum shock response displacement increases and the maximum shock response acceleration decreases; damping ratio has significant influence on the system response and optimum damping ratio exists for the maximum shock response acceleration, which decrease with decrease of support angle. It was concluded that impact resistance of system can be enhanced effectively by suitable selection of damping and the angle of the system.