【摘要】 利用矩阵级数展开和特征值问题的谱叠加原理,将截断模态对响应的贡献用已知模态和系统矩阵来精确表达,从而可提高计算精度。数值算例表明本文方法是有效的。更多还原

【Abstract】 Fast and accurately evaluating the contribution due to the truncated modes to the response of harmonic excitation is the objective of this paper without using the truncated modes. By using the series expansion of a matrix function and the theory of spectral representation of a matrix, the contribution due to the truncated modes to the response of a harmonic excitation is expressed exactly and exlicitly, with the available low-frequency modes and the system matrices. Two numerical examples are given to demonstrate the validity and effectiveness of the present method.更多还原