Sunday 28 December 2008

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Transactions: WSEAS TRANSACTIONS ON ELECTRONICS
Transactions ID Number: 31-881
Full Name: Qimin Xiao
Position: Professor
Age: ON
Sex: Female
Address: No.8 South Qian Hu Road Ningbo
Country: CHINA
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E-mail address: xqlnb@tom.com
Other E-mails: gaoyibo@gmail.com
Title of the Paper: THE OPTIMAL DESIGN AND SIMULATION OF HELICAL SPRING BASED ON PARTICLE SWARM ALGORITHM AND MATLAB
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Number of paper pages: 10
Abstract: Optimal problem is often met in engineering practice. The method to solve complex optimal problem is always studied by people. Springs are important mechanical members which are often used in machines to exert force, to provide flexibility, and to store or absorb energy. Helical spring is the most popular type of springs. The method of helical spring optimization is a typical one which can be used to solving other mechanical optimal design problem. Particle Swarm Optimization algorithm is a good method in solving optimal problem. MATLAB is a high-performance language for technical computing and is an easy tool for us to simulate the optimization. In this paper, we mainly introduce the optimization of helical spring based on particle swarm algorithms and simulation in MATLAB. Directed by the theory of Particle Swarm Optimization algorithm, with the minimum weight of helical spring as objective function, with d, D2 and n as design variables, with shear stress, maximu!
m axial deflection, critical frequency, bucking, fatigue strength, coils not touch, space and dimension as constraint conditions, the complex helical spring optimal design mathematics model with three design variables and fourteen inequality constraints conditions is established. When the model is simulated in MATLAB the minimal optimal value of variables and the minimal weight of helical spring can be obtained. Simulating Result shows that Particle Swarm Optimization is practical in solving complicated optimal design problems and effectively on avoiding constraint of solution. The fundamental idea, the method of establishing mathematic model, the simulation process in MATLAB of helical spring can be used for reference to other similar mechanical optimal design.
Keywords: Particle Swarm Optimization (PSO), fitness value, local best value, global best value, helical spring, optimal design, mathematic model , objective function, design variables, constraints condition, shear stress, deflection, critical frequency, bucking, fatigue strength.
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