摘要
以悬挂式弹簧系统为研究对象,建立跌落工况无阻尼条件下系统的无量纲几何非线性动力学方程。应用变分迭代法求解动力学方程,得到系统无量纲位移、无量纲加速度1阶近似解析解。跌落工况下系统无量纲位移最大值、无量纲加速度最大值及无量纲跌落冲击时间与椭圆积分法的结果比较,误差在4%以内。讨论跌落高度和系统悬挂角对无量纲位移最大值和无量纲加速度最大值的影响,研究表明,在相同跌落高度条件下,适当减小系统的悬挂角度,可降低系统无量纲加速度最大值,但无量纲位移最大值增加。研究结论可为悬挂式弹簧系统缓冲设计提供理论依据。
With a suspended spring system as an object, the dimensionless geometrical nonlinear dynamic equation without damping of dropping shock of the system was established. Variational iteration method was used to solve the dynamic equation. The first-order approximate analytical solutions of dimensionless displacement and dimensionless acceleration were obtained. The peak values of the dimensionless displacement and the dimensionless acceleration, and the period of the dropping shock were compared with the results from the elliptic integral method. The relative errors were less than 4 %. The influence of the dropping height and the system suspension angle at the peak values of the dimensionless displacement and the dimensionless acceleration were discussed. Results showed that in the same dropping height conditions, appropriately reducing the suspension angle of the system can reduce the peak value of the dimensionless acceleration, but the peak value of the dimensionless displacement increases. This work has provided a reference for design of shock absorbers with suspended spring systems.
出处
《噪声与振动控制》
CSCD
2013年第6期36-39,共4页
Noise and Vibration Control
关键词
振动与波
悬挂弹簧系统
几何非线性
变分迭代法
跌落冲击
冲击时间
vibration and wave
suspension spring system
geometric nonlinear
variational iteration method
droppingshock
period of the shock
