Interval optimization for uncertain structures

Authors:
Su Huan Chen;Jie Wu;Yu Dong Chen
Affiliations:
Department of Mechanics, Jilin University, Nanling Campus, Changchun 130025, P.R. China;Department of Mechanics, Jilin University, Nanling Campus, Changchun 130025, P.R. China;Department of Mechanics, Jilin University, Nanling Campus, Changchun 130025, P.R. China
Venue:
Finite Elements in Analysis and Design
Year:
2004

Citing 2
Cited 1

Interval finite element method for beam structures

Finite Elements in Analysis and Design
Penalty/Barrier Multiplier Methods for Convex Programming Problems

SIAM Journal on Optimization

Unified uncertainty analysis by the mean value first order saddlepoint approximation

Structural and Multidisciplinary Optimization

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Abstract

This paper presents an interval optimization method to solve the uncertain problems of the vibration systems with multi-degrees of freedom, where the structural characteristics are assumed to be expressed as interval parameters. Combining the interval extension of function with the first-order Taylor expansions of the functions, the interval optimization method is derived. The present method is implemented for a torsional vibration system and a frame structure. The numerical results show that the method is effective, and that the present method can provide more information about the optimization results than those obtained by the deterministic optimization.