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Computational design of mechanical s...

Chellappa, Sudarsanam.

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Computational design of mechanical structures in elasticity using multiresolution analysis.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Computational design of mechanical structures in elasticity using multiresolution analysis./
Author:	Chellappa, Sudarsanam.
Description:	146 p.
Notes:	Source: Dissertation Abstracts International, Volume: 64-08, Section: B, page: 4000.
Contained By:	Dissertation Abstracts International64-08B.
Subject:	Engineering, Mechanical. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3100400

Computational design of mechanical structures in elasticity using multiresolution analysis.
Chellappa, Sudarsanam.

Computational design of mechanical structures in elasticity using multiresolution analysis. - 146 p.

Source: Dissertation Abstracts International, Volume: 64-08, Section: B, page: 4000.

Thesis (Ph.D.)--Michigan State University, 2003.

A formal methodology for reducing the size of models used in the analysis of elastic systems is presented. This involves an explicit representation of the model at various resolutions and is accomplished using a projection generated numerical homogenization procedure. The framework for this analysis is derived from the multi-resolution analysis associated with the construction of wavelet bases. This is applied to elasticity operators to average fine scale properties and behavior while limiting loss of information. In discretized form, the method produces equivalent smaller stiffness matrices that can be used as building blocks (super-elements) to construct reduced models of larger systems. The principal application envisioned is in design problems involving complex structural systems, such as in crash-worthiness design, where very intensive computations demand computational efficiency. This model reduction scheme is applied to the problem of layout optimization of structures involving multi-scale heterogeneities of sizes that may be comparable to the size of the structure. Numerical examples in which the heterogeneities are in the form of perforations of various sizes are presented.Subjects--Topical Terms:

783786
Engineering, Mechanical.

Computational design of mechanical structures in elasticity using multiresolution analysis.
LDR:02081nmm 2200265 4500 001 1861944
005 20041215074122.5
008 130614s2003 eng d
035 $a (UnM)AAI3100400
035 $a AAI3100400
040 $a UnM $c UnM
100 1 $a Chellappa, Sudarsanam. $3 1949520
245 1 0 $a Computational design of mechanical structures in elasticity using multiresolution analysis.
300 $a 146 p.
500 $a Source: Dissertation Abstracts International, Volume: 64-08, Section: B, page: 4000.
500 $a Adviser: Alejandro R. Diaz.
502 $a Thesis (Ph.D.)--Michigan State University, 2003.
520 $a A formal methodology for reducing the size of models used in the analysis of elastic systems is presented. This involves an explicit representation of the model at various resolutions and is accomplished using a projection generated numerical homogenization procedure. The framework for this analysis is derived from the multi-resolution analysis associated with the construction of wavelet bases. This is applied to elasticity operators to average fine scale properties and behavior while limiting loss of information. In discretized form, the method produces equivalent smaller stiffness matrices that can be used as building blocks (super-elements) to construct reduced models of larger systems. The principal application envisioned is in design problems involving complex structural systems, such as in crash-worthiness design, where very intensive computations demand computational efficiency. This model reduction scheme is applied to the problem of layout optimization of structures involving multi-scale heterogeneities of sizes that may be comparable to the size of the structure. Numerical examples in which the heterogeneities are in the form of perforations of various sizes are presented.
590 $a School code: 0128.
650 4 $a Engineering, Mechanical. $3 783786
650 4 $a Applied Mechanics. $3 1018410
690 $a 0548
690 $a 0346
710 2 0 $a Michigan State University. $3 676168
773 0 $t Dissertation Abstracts International $g 64-08B.
790 1 0 $a Diaz, Alejandro R., $e advisor
790 $a 0128
791 $a Ph.D.
792 $a 2003
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3100400