Convergence and Spectral Radius Analysis and Parameter Selection for the Particle Swarm Optimization Algorithm Based on the Stochastic Process

2013 ◽  
Vol 12 (8) ◽  
pp. 1480-1490
Author(s):  
Long-Hua Ma ◽  
Ming Xu ◽  
Meng Shao ◽  
Zhe-Ming Lu
Keyword(s):  
Stochastic Process ◽  
Particle Swarm Optimization ◽  
Spectral Radius ◽  
Optimization Algorithm ◽  
Particle Swarm Optimization Algorithm ◽  
Particle Swarm ◽  
Parameter Selection ◽  
Swarm Optimization ◽  
Selection For

Dynamic Analysis of Structures with Interval Parameters under Stochastic Process Excitation

2014 ◽  
Vol 553 ◽  
pp. 699-704 ◽  
Author(s):  
Duy Minh Do ◽  
Wei Gao ◽  
Cheng Wei Yang ◽  
Chong Ming Song
Keyword(s):  
Stochastic Process ◽  
Particle Swarm Optimization ◽  
Dynamic Analysis ◽  
Optimization Algorithm ◽  
Natural Frequencies ◽  
Particle Swarm Optimization Algorithm ◽  
Particle Swarm ◽  
Mean Square ◽  
Structural Dynamic ◽  
Swarm Optimization

This paper presents the interval dynamic analysis of structures with uncertain-but-bounded parameters under stochastic process excitations. Structural natural frequencies and mean square values of structural random responses are not deterministic values but intervals. The interval problems are converted to optimization problems. Mathematical models are developed to find the bounds of interval natural frequencies and mean square displacements. An improved particle swarm optimization algorithm, namely lower sequence initialized high-order nonlinear particle swarm optimization algorithm, is employed to capture the exact bounds of structural dynamic characteristics and random vibration responses. Numerical example is used to demonstrate the presented method. Quasi-Monte Carlo simulations are also implemented to validate the change ranges of structural natural frequencies and mean square displacements produced by the proposed method.

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