不确定性结构特征值上下界的估计方法

吉林大学学报(工学版) ›› 2001, Vol. ›› Issue (1): 30-34.

不确定性结构特征值上下界的估计方法

郭学东, 谢军, 陈塑寰

吉林大学南岭校区理学院, 吉林长春 130025

收稿日期:2000-07-12 出版日期:2001-01-25
基金资助:
国家自然科学基金资助项目(19872028)

A New Method for Estimating the Upper and Lower Bounds of Eigenvalues of Structures with Uncertain Parameters

GUO Xue-dong, XIE Jun, CHEN Su-huan

College of Sciences, Jilin University, Nanling Campus, Changchun 130025, China

Received:2000-07-12 Online:2001-01-25

摘要/Abstract

摘要： 用凸模型理论描述了结构参数的不确定性,提出了一种用于估计含不确定性参数结构特征值的上下界的新方法,并以框架结构特征值的算例验证了所提理论的有效性。

关键词: 不确定参数结构, 特征值的上下界, 凸模型, 半轴优化法

Abstract: This paper presents a method for estimating the upper and lower bounds of eigenvalue for the structures with uncertainties.The uncertain parameters are described by the convex model.A numerical example of frame structure is given to illustrate the efficiency of the method.

Key words: structures with uncertainties, upper and lower bounds of eigenvalues, convex models, semi-axial optimization

中图分类号:

O342

郭学东, 谢军, 陈塑寰. 不确定性结构特征值上下界的估计方法[J]. 吉林大学学报(工学版), 2001, (1): 30-34.

GUO Xue-dong, XIE Jun, CHEN Su-huan. A New Method for Estimating the Upper and Lower Bounds of Eigenvalues of Structures with Uncertain Parameters[J]. 吉林大学学报(工学版), 2001, (1): 30-34.

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