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The Taylor series numerical method (TSNM) is a time integration method for solving problems in structural dynamics. In this paper, a detailed analysis of the stability behavior and accuracy characteristics of this method is given. It is proven by a spectral decomposition method that TSNM is conditionally stable and belongs to the category of explicit time integration methods. By a similar analysis, the characteristic indicators of time integration methods, the percentage period elongation and the amplitude decay of TSNM, are derived in a closed form. The analysis plays an important role in implementing a procedure for automatic searching and finding convergence radii of TSNM. Finally, a linear single degree of freedom undamped system is analyzed to test the properties of the method. 相似文献
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结构动力分析中时间积分方法进展 总被引:2,自引:1,他引:1
叙述了结构动力分析中时间积分方法的最新发展情况,对这一领域的基本原理和思想进行了总结,重点介绍一些新型计算方法的基本性质,为时间积分方法的进一步研究奠定基础。 相似文献
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