结构动力分析的小波变换与无单元方法
Structural Dynamic Analysis Based on Wavelet Transform and Elemement-Free Galerkin Method
本文介绍基于小波变换和无单元方法的结构动力分析新技术。通过对多自由度线性体系的小波包分解,实现对结构响应能量的逐级分解。发现长周期结构动力响应有二个显著特点:(1)结构最大总位移受瞬态振动控制,并与地震动持时有关。(2)最大结构位移响应总是滞后于地震动激励的最大能量峰值时间。文中还首次给出了用新颖无单元法进行结构动力分析的关键技术,包括建立无单元离散动力方程,框架结构动力计算方法要点和步骤等。最后联合应用小波变换、HHT变换技术和无单元方法计算了十一层钢筋混凝土高层结构,并与有限元ANSYS程序进行了比较,结果表明,新方法有较高的精确性和实用性。
In this paper, there are new techniques of structural dynamic analysis based on wavelet transform and Element-Free Galerkin Method (EFG).The decomposition for the energy of structural response is made by wavelet packet analysis for MDOF linear system. Two notable characteristics on long-period structure are found: (1) Maximal displacement of structure is controlled by transient vibration and is influenced by time holding. (2) The time of maximal displacement response on structure is later than the time of maximal peak value of earthquake energy. At the same time, the key technique of structural dynamic analysis with new EFG is presented, including set up discrete dynamic equation for EFG, and put forth the importance and steps in frame structural dynamic computing method. By utilizing the wavelet transform, HHT and EFG together, the building of an eleven-storey reinforced concrete can be calculated and compared with program of ANSYS for Finite Element Method (FEM).The result shows that the new method is more accuracy and practical.
吴琛、袁文君、周瑞忠
工程基础科学
小波变换无单元法结构动力分析瞬态振动地震动持时
wavelet transformElement-Free Galerkin Method (EFG)structural dynamic analysistransient vibrationearthquake time holding
吴琛,袁文君,周瑞忠.结构动力分析的小波变换与无单元方法[EB/OL].(2007-06-11)[2025-08-23].http://www.paper.edu.cn/releasepaper/content/200706-207.点此复制
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