基于振型遴选与振型构造的空间网格结构动力分析方法
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摘要
分析总结了传统振型叠加方法应用于空间网格结构动力反应分析难以适用的原因,结合结构固有振型与高效动力分析的LDR振型,提出一种基于振型遴选与振型构造的动力反应分析算法。采用Matlab进行编程,并对两个典型空间网格结构进行数值模拟分析。通过数值结果比较,验证该方法的正确性、有效性及其计算效率。
It seems that the traditional mode superposition method is not so suitable to dynamic analysis of spatial lattice structures. The reasons of this inapplicability were analyzed and summarized. Based on deep understanding of free vibration mode characteristics and the high computational efficiency of LDR method, a modified mode superposition method,named eigen-LDR method,was proposed. The computational method was programmed with Matlab. And the dynamic responses of 2 typical spatial lattice structures were computed with the new method. The numerical results showed that the proposed method was effective,accurate and with high efficiency.
It seems that the traditional mode superposition method is not so suitable to dynamic analysis of spatial lattice structures. The reasons of this inapplicability were analyzed and summarized. Based on deep understanding of free vibration mode characteristics and the high computational efficiency of LDR method, a modified mode superposition method,named eigen-LDR method,was proposed. The computational method was programmed with Matlab. And the dynamic responses of 2 typical spatial lattice structures were computed with the new method. The numerical results showed that the proposed method was effective,accurate and with high efficiency.
引文
[1]王磊,罗永峰.空间网格结构抗震分析方法研究现状[J].结构工程师,2011,27(3):119-126.
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[3]王磊.空间网格结构振型遴选阈值法理论研究[D].上海:同济大学,2011.
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[7]Leger P,Wilson E L.Generation of Load Dependent Ritz Transformation Vectors in Structural Dynamics[J].Eng.Comput.,1987(4):309-318.
[8]Yuan Mingwu,Chen Pu,Xiong Shangji,et al.The WYD Method in Large Eigenvalue Problems[J].Eng.Comput.,1989(6):49-57.
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[10]胡仲淹.网格结构地震反应分析的修正振型叠加法研究[D].上海:同济大学,2014.
[2]JGJ 7—2010空间网格结构技术规程[S].
[3]王磊.空间网格结构振型遴选阈值法理论研究[D].上海:同济大学,2011.
[4]Chopra A K.Dynamics of Structures:Theory and Application to Earthquake Engineering[M].California:Prentice Hall,1995.
[5]克拉夫R,彭津J.结构动力学[M].北京:高等教育出版社,2010.
[6]Wilson E L,Yuan Mingwu,Dickens J M.Dynamic Analysis by Direct Superposition of Ritz Vectors[J].Earthquake Engineering and Structural Dynamic,1982(10):813-821.
[7]Leger P,Wilson E L.Generation of Load Dependent Ritz Transformation Vectors in Structural Dynamics[J].Eng.Comput.,1987(4):309-318.
[8]Yuan Mingwu,Chen Pu,Xiong Shangji,et al.The WYD Method in Large Eigenvalue Problems[J].Eng.Comput.,1989(6):49-57.
[9]Wilson E L,ASCE M,Eduardo P B.Use of Special Ritz Vectors in Dynamics Substructures Analysis[J].Structural Engineering,1986(8):1944-1954.
[10]胡仲淹.网格结构地震反应分析的修正振型叠加法研究[D].上海:同济大学,2014.
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