文档介绍:INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Int. J. Numer. Meth. Engng 2005; 62:1737–1762
Published online 9 February 2005 in Wiley InterScience (.com). DOI:
Improved ic algorithm for design optimization of truss
structures with sizing, shape and topology variables
Wenyan Tang1, Liyong Tong1,∗,† and Yuanxian Gu2,‡
1School of Aerospace, Mechanical and Mechatronic Engineering, University of Sydney, NSW 2006, Australia
2State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics,
Dalian University of Technology, Dalian 116024
SUMMARY
This paper presents an improved ic algorithm (GA) to minimize weight of truss with sizing,
shape and topology variables. Because of the nature of discrete and continuous variables, mixed coding
schemes are proposed, including binary and float coding, integer and float coding. Surrogate function
is applied to unify the constraints into single one; moreover surrogate reproduction is developed to
select good individuals to mating pool on the basis of constraint and fitness values, pletely
considers the character of constrained optimization. This paper proposes a new strategy of creating
next population peting between parent and offspring population based on constraint and fitness
values; so that lifetime of excellent gene is prolonged. Because the initial population is created
randomly and three operators of GA are also indeterminable, it is necessary to check whether the
structural topology is desirable. An improved restart operator is proposed to introduce new gene
and explore new space, so that the reliability of GA is enhanced. Selected examples are solved;
the improved numerical results demonstrate that the enhanced GA scheme is feasible and effective.
Copyright ᭧ 2005 John Wiley & Sons, Ltd.
KEY WORDS: ic algorithm; mixed coding; surrogating reproduction; fittest preserving; improved
restart operator; structural optimization
1. INT