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特征向量导数的高精度动柔度法和模法
引用本文:张德文.特征向量导数的高精度动柔度法和模法[J].导弹与航天运载技术,2000(2):29-35.
作者姓名:张德文
作者单位:北京强度环境研究所,北京
摘    要:基于动柔度的高精度表达式建立了很多特征向量导数计算的动柔度法和模态法,动柔度的高精度式推导首先是基于经的谱表达式,然后将其分为将阶模态贡献项和高阶模态贡献项,其中高阶贡献项在实际中是不可能得到的,为此,又将高阶贡献项分为静态贡献和动态贡献,其中静态贡献可以精确得到,唯有高阶模态的动态贡献不得不展开为一种可运作的几何级数,当特征根的间距稍大时,该几何级数的前几项就可收敛到动态贡献的精确值,一旦遇到较密集的特征根时,该几何级数的收敛速度会明显下降,理论上可以通过移频使得该内何级数达到加速收敛。

关 键 词:动力优化设计  特征向量导数  动柔度法  模态法

Computation of Eigenvector Derivatives Using High Precision Dynamic Flexibility and Modal Methods
Zhang Dewen.Computation of Eigenvector Derivatives Using High Precision Dynamic Flexibility and Modal Methods[J].Missiles and Space Vehicles,2000(2):29-35.
Authors:Zhang Dewen
Abstract:A dynamic flexibility method and a modal method for computing eigenvector derivatives, which are based on a dynamic flexibility formula with high precision, are developed in this paper. These methods not only give the high precision results like the early dynamic flexibility method but also have the batter computational efficiancy like current simplified dynamic flexibility method based on a practical complete modal space. In regard to early dynamic flexibility method and current simpliffied dynamic flexibility method, their convergence precision can not be easily assessed. Oppositely, the convergence pracision of the methods as shown in this paper may be easily evaluated.
Keywords:Eiganvactor darivative  Sensitivity analysis  Eiganvalus analysis  Dynamic optimal design  
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