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结构动态分析的函数变换算法

The Method of the Function Transformation for Structural Dynamic Analysis

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【作者】 罗持久李桂青张汝清

【Author】 Luo Chijiu, Li Guiqing, Zhang Raqing(Wuhan university of techanology) (Chongqing university)

【机构】 武汉工业大学重庆大学

【摘要】 本文提出了微分递推函数族和函数变换的概念,对线性结构动力方程施行函数变换,则动力分析可用简单的递推关系表述为由此可方便地推算出序列,进而求出任意时刻的位移,此方法计算量少,精度高,且编制程序简单,可为复杂结构的动态分析(特别是长历程)提供高精度的分析方法。

【Abstract】 The concept of the function groups with deffrential recursiveness and the function transformation are presented in this paper by apply the function transformation to the basic dynamic equations.then the equations can be written as a simple recurrence formulaandTherefore the series {uk} (k = 0,1,…, n) can be calculated very easily by the recurrence formula, and the displacements at any time can be obtainedThe advantage of the method is its less calculating time and high accuracy.The paper provides a higher accurate(or exact)calculating method for dynamic analysis(especially for long history response)of the complex structures.

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