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Spectral analysis of a high-order Hermitian algorithm for structural dynamics

机译:结构动力学高阶Hermitian算法的频谱分析

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摘要

The spectral analysis of an efficient step-by-step direct integration algorithm for the structural dynamic equation is presented. The proposed algorithm is formulated in terms of two Hermitian finite difference operators of fifth-order local truncation error and it is unconditionally stable with no numerical damping presenting a fourth-order truncation error for period dispersion (global error). In addition, although it is in competition with higher-order algorithms presented in the literature, the computational effort is similar to that of the classical second-order Newmark's method. The numerical application for nonlinear structural dynamic problems is also considered.
机译:提出了一种有效的结构动力学方程式逐步积分算法的频谱分析。该算法是根据两个五阶局部截断误差的埃尔米特有限差分算子来表示的,它是无条件稳定的,没有数值阻尼,不会出现周期分散的四阶截断误差(全局误差)。另外,尽管它与文献中提出的高阶算法竞争,但其计算量与经典的二阶Newmark方法相似。还考虑了非线性结构动力问题的数值应用。

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