Interval Finite Element Approach for Modal Analysis of Linear Elastic Structures Under Uncertainty

被引：0

作者：

Xiao, Naijia ^{[1
]}

Fedele, Francesco ^{[2
,3
]}

Muhanna, Rafi ^{[1
]}

机构：

[1] Georgia Inst Technol, Sch Civil & Environm Engn, Mason Bldg 4132,790 Atlantic Dr NW, Atlanta, GA 30308 USA

[2] Georgia Inst Technol, Sch Civil & Environm Engn, Technol Sq Res Bldg 415,85 5th St NW, Atlanta, GA 30308 USA

[3] Georgia Inst Technol, Sch Elect & Comp Engn, Technol Sq Res Bldg 415,85 5th St NW, Atlanta, GA 30308 USA

来源：

MODEL VALIDATION AND UNCERTAINTY QUANTIFICATION, VOL 3 | 2016年

关键词：

Interval; Finite element method; Modal analysis; Iterative enclosure method; Matrix decomposition; Generalized eigenvalue problem; MECHANICS; FREQUENCIES; PARAMETERS; MODELS;

D O I：

10.1007/978-3-319-29754-5_13

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

We present a new Interval Finite Element (IFEM) approach for modal analysis of linear elastic structures with uncertain geometric and material properties. Uncertain parameters are modeled as intervals. Guaranteed interval lower and upper bounds for natural frequencies and modal shapes are attained using a new decomposition strategy of the IFEM matrices that drastically reduces overestimation due to interval dependency. The associated interval generalized eigenvalue problem is solved efficiently by way of a new variant of the iterative enclosure method. Several numerical examples show the accuracy and efficiency of the proposed method.

引用

页码：143 / 150

页数：8

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