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中文摘要：
简化了一种求取非线性常微分方程高阶谐波解的近似解析计算方法.对平方和立方非线性项的傅里叶展开过程进行改进和简化,使计算过程变为两次矩阵运算即可完成展开过程,且两次矩阵运算过程一致,易于编程.以Duffing方程为算例,计算结果与数值方法一致,运算效率有所提高.
英文摘要：
A simplified computation method of the high- order harmonic solution for nonlinear ordinary differentialequations is discussed. Fourier expansion procedure of the equation with quadratic or cubic terms is improved andsimplified. The procedure consists of two steps of matrix operation with the same computation process so that the algorithmis easier to program than that of the previous equation. Results of the solution for the Duffing equation using this methodshow that the high- order harmonic solution is in good agreement with its numerical solution, but more efficient than thelatter one.
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