基于牛顿谐波平衡法悬挂系统跌落冲击动力学性能评价  

Dropping shock dynamic performance evaluation of suspension system based on NHB method

作　　者：杜兴丹 陈安军 DU Xing-dan;CHEN An-jun(School of Mechanical Engineering,Jiangnan University,Wuxi 214122,China;China National Control and Testing Center for Packaging Quality,Wuxi 214122,China;Institue of Postal Scientific Research and Planning,Beijing 100000,China)

机构地区：[1]江南大学机械工程学院,江苏无锡214122 [2]国家轻工业包装制品质量监督检测中心,江苏无锡214122 [3]邮政科学研究规划院,北京100000

出　　处：《振动工程学报》2020年第2期331-337,共7页Journal of Vibration Engineering

摘　　要：应用牛顿谐波平衡法求解跌落冲击条件下悬挂系统无量纲非线性动力学方程,获得无量纲位移及加速度响应的近似解析解,并给出无量纲位移最大值、加速度最大值与跌落冲击时间等跌落冲击性能评价的重要参数的解析表达。同时分别与四阶龙格-库塔数值解和变分迭代解析解比较,算例分析结果表明,由牛顿谐波平衡法获得的二、三阶近似解的精度满足工程需求,且三阶近似解精度优于二阶近似解。基于牛顿谐波平衡法解析解,建立系统跌落冲击破损评价的代数方程,使系统破损边界曲线的获得及相关参数影响分析更加方便,为非线性系统跌落破损评价提供了一种有效的分析方法。The Newton-harmonic balancing method is applied to solve a non-dimensional nonlinear dynamic equation of the suspension system under the condition of dropping shock.The first-order,second-order and third-order approximate solutions of dimensionless displacement and acceleration response are obtained.Analytical expressions of important parameters including dimensionless displacement peak,acceleration peak and dropping shock time are also given.Comparisons with Runge-Kutta method and variational iteration method are provided to illustrate the effectiveness of Newton-harmonic balancing method.The example analysis results show that the second-order and third-order approximate solutions by Newton-harmonic balancing method can meet the engineering design requirements,and third-order approximate solution has higher accuracy than the second-order approximate solution.Based on the approximate solution of Newton-harmonic balancing method,a damage evaluation algebraic equation of the system under dropping shock is established,which makes it more convenient to get the system damage boundary curve and analyze influence of related system parameters.This article provides an effective analysis method for dropping damage evaluation of nonlinear systems.

关 键 词：悬挂弹簧系统 破损评价 非线性 牛顿谐波平衡法 近似解 

分 类 号：TB485.3[一般工业技术—包装工程] O328[理学—一般力学与力学基础]