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A STRUCTURAL NON-LINEAR DYNAMIC STABILITY AND A MATRIX FUNCTION METNOD
引用本文:Wu Delun. A STRUCTURAL NON-LINEAR DYNAMIC STABILITY AND A MATRIX FUNCTION METNOD[J]. 保鲜与加工, 1994, 0(1)
作者姓名:Wu Delun
作者单位:Wu Delun(Chongqing Jianzhu Univerty)Zhang Zhipeng(Chengtu Real Estate Management Firm)
摘    要:This paper presents a mathematical and mechanic model for non-linear dynamicstability analysis of structures on the basis of Liapunov's stability criteria. Due to the complexityand difficulty in numerical calculation,a matrix function to this type of stability problems is selectedand the programing formulations are derived.Applying the method to beam or frame structures un-der the axial period loadings,the geometric non-linear dynamic stability results are obtained.Fromthe results,the basic characteristics of this type of probtems,especially the non-linear effect areshown.The model and matrix function method are valtiable both in theory and in practice for struc-tural non-linear dynamic stability.

关 键 词:matrix function. non-linear dynamics  beam and frame  

A STRUCTURAL NON-LINEAR DYNAMIC STABILITY AND A MATRIX FUNCTION METNOD
Wu Delun. A STRUCTURAL NON-LINEAR DYNAMIC STABILITY AND A MATRIX FUNCTION METNOD[J]. Storage & Process, 1994, 0(1)
Authors:Wu Delun
Affiliation:Wu Delun(Chongqing Jianzhu Univerty)Zhang Zhipeng(Chengtu Real Estate Management Firm)
Abstract:This paper presents a mathematical and mechanic model for non-linear dynamicstability analysis of structures on the basis of Liapunov's stability criteria. Due to the complexityand difficulty in numerical calculation,a matrix function to this type of stability problems is selectedand the programing formulations are derived.Applying the method to beam or frame structures un-der the axial period loadings,the geometric non-linear dynamic stability results are obtained.Fromthe results,the basic characteristics of this type of probtems,especially the non-linear effect areshown.The model and matrix function method are valtiable both in theory and in practice for struc-tural non-linear dynamic stability.
Keywords:matrix function. non-linear dynamics  beam and frame  
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