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Chaos particle swarm optimization algorithm for solving systems of nonlinear equations and it''''s application |
Revised:June 13, 2005 |
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DOI:10.7511/jslx20074098 |
KeyWord:systems of nonlinear equations,optimization,particle swarm optimization,chaos,composite structures fatigue life |
MO Yuan-bin CHEN De-zhao HU Shang-xu |
Institute of Intelligent Information Engineering,Zhejiang University, Hangzhou 310027, China |
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Abstract: |
Aimed at the widespread practical significance of solving nonlinear equations in engineering,classic numerical methods such as Newton method are highly sensitive to the initial guess,but it is difficult to find a suitable good initial guess in practical operation,chaos particle swarm optimization(CPSO) algorithm was proposed to solve nonlinear equations.It introduced chaos to particle swarm optimization(PSO),making every particle selected a suitable search direction from PSO search mechanism and chaos search mechanism.By virtue of chaos's ergodicity,it enhanced every particle with search property and made every particle could comprehensively get the useful information about the objective function,which was reflected in present global optimal point and the optimal point of each particle in every iteration.By this,CPSO could more effectively adjust search direction of each particle and finally got the global optimal point of the problem.Experimental results show the effectiveness of the proposed tactics is obvious.At last the algorithm was applied to model relations between composite structures fatigue life with stress,temperature and moisture. |
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