求解一类强非线性振动的方法

A Method for Solving Strong Nonlinear Vibration

提出一种用于强非线性系统求解的方法———频闪谐波平衡法。利用该方法可求出广泛的一类强非线性系统主共振解及次谐共振解存在的条件并能从相关公式知道系统的基本参数对系统特性的影响，可为避免共振提供理论依据，同时可通过相关公式的引导来调节系统的基本参数从而改变系统特性。频闪－ 谐波平衡法与计算机数字仿真计算结果比较表明，频闪－ 谐波平衡法在定性方面是正确的，在定量方面，精度可以满足工程要求。

A method,stroboscopic harmonicbalance method which is used to solve strong nonlinear system, is proposed. The method is used to find the solution of strong nonlinear system. In investigation,the existence conditions of primary resonance solution and subharmonic resonance solutions are obtained. The results which are obtained by the stroboscopic harmonicbalance method are compared with those by computer numerical simulation. The results show that the stroboscopic harmonicbalance method is correct in qualitative analysis and it can meet the demands in engineering.