Confidence extremal structural response analysis of truss structures under static load uncertainty via SDP relaxation

Authors:
Xu Guo;Wei Bai;Weisheng Zhang
Affiliations:
State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, PR China;State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, PR China;State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, PR China
Venue:
Computers and Structures
Year:
2009

Citing 2
Cited 4

Convex Optimization

Convex Optimization
Ellipsoidal bounds for uncertain linear equations and dynamical systems

Automatica (Journal of IFAC)

Structural reliability analysis based on random distributions with interval parameters

Computers and Structures
A new formulation for fictitious mass of the Dynamic Relaxation method with kinetic damping

Computers and Structures
Evidence-theory-based structural static and dynamic response analysis under epistemic uncertainties

Finite Elements in Analysis and Design
A novel evidence-theory-based reliability analysis method for structures with epistemic uncertainty

Computers and Structures

Quantified Score

Hi-index	0.00

Visualization

Abstract

A new method is presented to obtain the confidence structural responses of truss structures under ellipsoid static load uncertainty. By using a combination of duality theorem and SDP relaxation technique, we reformulate the original convex maximization problem as a relaxed convex SDP problem, which can be solved with global optimality. Numerical examples demonstrate the effectiveness of the proposed approach.