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Chinese Journal of Engineering Design  2005, Vol. 12 Issue (1): 35-38    DOI:
    
Structural reliability analysis based on stochastic element-freegalerkin method and ant algorithm
 YOU  Shi-Hui1,2,   Zou-Chuan-Ping1, FENG  Yun-Hua1, QING  Qi-Xiang2
1. College of Mechanical Engineering, Jiujiang University, Jiujiang 3320051, China;
2. College of Mechanical and Automotive Engineering, Hunan University, Changsha 4100822, China
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Abstract  This paper starts from applying perturbation stochastic element-free Galerkin method (PSEFGM), which features element-free and high precision, to solve the response of probabilistic structure. And the author analyzes the structural reliability adopting Ant Algorithm. Ant Algorithm is an intelligent optimum algorithm for stochastic searching. This algorithm required no prerequisites of differentiation or even continuation of objective function and can effectively overcome the common disadvantages of classic algorithm-immersing into local optimum. Numerical examples show that the stochasticelement-free Galerkin method and ant algorithm had obvious advantages comparing to classic algorithm in reliability analysis of probabilistic structure.

Key wordsstochastic element-free galerkin method      random field      structural reliability      ant algorithm     
Published: 28 February 2005
Cite this article:

YOU Shi-Hui, Zou-Chuan-Ping, FENG Yun-Hua, QING Qi-Xiang. Structural reliability analysis based on stochastic element-freegalerkin method and ant algorithm. Chinese Journal of Engineering Design, 2005, 12(1): 35-38.

URL:

https://www.zjujournals.com/gcsjxb/     OR     https://www.zjujournals.com/gcsjxb/Y2005/V12/I1/35


基于随机无网格伽辽金法和蚂蚁算法的结构可靠性分析

用摄动随机无网格伽辽金法(PSEFGM)求解随机结构的响应,然后采用蚂蚁算法对结构可靠性进行了分析。摄动随机无网格伽辽金法具有不需要划分单元和精度高等特点。蚂蚁算法是一种智能型随机搜素优化算法,对目标函数没有任何可微甚至连续的要求,可有效克服经典算法易于陷入局部最优解的常见弊病。数值实例表明,在随机结构可靠性分析方面,随机无网格迦辽金法与蚂蚁算法比经典算法具有明显的优势。

关键词: 随机无网格迦辽金法,  随机场,  结构可靠性,  蚂蚁算法 
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