结构非线性动力稳定性与矩阵函数法
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TU311.2

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A STRUCTURAL NON-LINEAR DYNAMIC STABILITY AND A MATRIX FUNCTION METNOD
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    摘要:

    在李雅普诺夫稳定性准则的基础上导出了求解结构非线性动力稳定性分析的数学-力学模型。并采用了矩阵函数法求解这一问题导出了相应的计算列式。还给出了梁及框架在轴向周期荷载作用下的几何非线性动力稳定性问题的计算结果,揭示了考虑结构非线性情况下动力稳定性的基本特征。

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    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.

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吴德伦,张志鹏.结构非线性动力稳定性与矩阵函数法[J].土木与环境工程学报(中英文),1994,16(1). Wu Delun. A STRUCTURAL NON-LINEAR DYNAMIC STABILITY AND A MATRIX FUNCTION METNOD[J]. JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING,1994,16(1).10.11835/j. issn.1674-4764.1994.01.014

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