In this paper, the global residue harmonic balance method is applied to obtain the approximate periodic solution and frequency for a well-known system of strongly nonlinear oscillator in engineering. This method can improve accuracy by considering all the residual errors in deriving each order approximation. With this procedure, the expressions of the higher-order approximate solution and corresponding frequency for the considered system can be determined easily. The comparison of the obtained results with previously existing and corresponding exact solutions shows the high accuracy and efficiency of the method.

中文翻译：

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强非线性振荡器系统的全局残余谐波平衡法

本文针对工程中著名的强非线性振荡器系统，采用全局残差谐波平衡法求得其近似周期解和频率。这种方法可以通过在推导每个阶次近似时考虑所有残差来提高精度。通过这个程序，可以很容易地确定所考虑系统的高阶近似解和相应频率的表达式。将所得结果与先前存在的和相应的精确解进行比较，表明该方法具有较高的准确性和效率。