Differential evolution algorithm of reliability optimization for truss structure
1.Research Institute of Structural Engineering and Disaster Reduction, Tongji University, Shanghai 200092, China; 2.State Key Laboratory of Disaster Prevention in Civil Engineering, Tongji University, Shanghai 200092, China; 3.Department of Architecture, Tohoku Institute of Technology, Sendai 982-8577, Japan
Abstract： To solve the uncertainties for structural engineering design and reliability analysis and avoid undermining engineering decisions, the structual optimization design was conducted with the consideration of the uncertainties of materials, geometric size and loading. Taking the uncertainties as random variables, a reliability optimization design of truss structure was proposed by differential evolution (DE) algorithm to solve uncertain problems. The node coordinates and the crosssectional areas of truss were introduced as design variables. The objective of the structural weight was considered to formulate a mathematical model of the shape optimization problem under reliabilitybased constraints. The typical truss shape optimization problems were conducted, and the influences of reliability index and variance factors on optimum results were also investigated. The results of the numerical example indicate that the proposed method can full play the advantage of the differential evolution algorithm, and can be applied for reliability based truss structure shape optimization design effectively.
2013, Vol. 34 
