应用动力单元法进行空间索网结构自由振动分析

周晓东 阎绍泽 褚福磊

振动与冲击 ›› 2009, Vol. 28 ›› Issue (6) : 150-152.

PDF(1047 KB)
PDF(1047 KB)
振动与冲击 ›› 2009, Vol. 28 ›› Issue (6) : 150-152.
论文

应用动力单元法进行空间索网结构自由振动分析

  • 周晓东 阎绍泽 褚福磊
作者信息 +

Free Vibration Analysis of Cable Network Structures Using Dynamic Element Method

  • ZHOU Xiaodong YAN Shaoze CHU Fulei
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摘要

索网结构具有成型跨度大而结构重量轻的优点,因此在空间航天领域得到了广泛应用。目前对索网结构的动力学分析主要是采用集中质量法或有限单元法进行低阶模态的分析,这些方法得到的较高阶频率和模态,其精度和实用性都不理想。动力单元法采用含有固有频率的动态形函数作为动力学分析离散单元中的插值函数,该形函数由单元动力学控制微分方程导出,因此能给出比有限元法更高的求解精度。在总结研究动力单元法理论的基础上,推导了张紧索单元的动力单元矩阵。采用动力单元法对几个典型的空间张紧索网结构进行动力学特性的分析,并将分析结果与传统有限元分析结果进行比较。

Abstract

a new type of exact element method for calculation of natural frequencies of tightly stretched cable network structures is presented. Some of the theoretical aspects of the dynamic element method (DEM) are considered. Then the element formulation of dynamic element method of taut string is presented. Only motions within the vertical cable plane are regarded. The global matrices are assembled by a summation process same as the conventional finite element method. Three illustrative cable network structures are discussed to demonstrate the implementation of the current method. Solutions show that the results from using the DEM were more accurate than with the conventional finite element method especially on high order frequencies.

关键词

索网结构 / 动态刚度矩阵 / 动力单元法 / 模态分析

Key words

Cable Network Structure / Dynamic Stiffness Matrix / Dynamic Element Method / Free Vibration Analysis

引用本文

导出引用
周晓东 阎绍泽 褚福磊. 应用动力单元法进行空间索网结构自由振动分析[J]. 振动与冲击, 2009, 28(6): 150-152
ZHOU Xiaodong YAN Shaoze CHU Fulei. Free Vibration Analysis of Cable Network Structures Using Dynamic Element Method[J]. Journal of Vibration and Shock, 2009, 28(6): 150-152

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