›› 2007, Vol. 28 ›› Issue (S1): 211-216.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Discussion and improvement on Monte Carlo method and geometric method

XING Wan-bo1, 2, ZHOU Zhong3, GONG Man-fu3   

  1. 1. Postdoctoral Porgramme of Chengdu Hydroelectric Investigation & Design Institute of SPC (CHIDI), Chengdu 610072, China; 2. Research Institute of Geotechnical Engineering, Hohai University, Nanjing 210098, China ; 3. Chengdu Hydroelectric Inverstigation & Design Institute of SPC(CHIDI), Chengdu 610072, China
  • Received:2007-05-31 Online:2007-10-25 Published:2014-03-28

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Abstract: After careful analyses of the popular Monte Carlo method and geometric method in reliability analysis, the misuse of Monte Carlo method with several non-uniform distribution random variables is pointed out. As a result, a correct procedure sampling procedure of Monte Carlo method is presented. Meanwhile, in order to satisfy the needs of practice in reliability analysis, an extended geometrical optimized method(EGOM) is proposed, its procedure under conditions of correlation and non-normal distribution variable is also presented. Furthermore, several examples from others’ reliability analysis practice with the proposed EGOM prove its correctness and effectiveness.

Key words: Monte Carlo method, extended geometrical optimized method(EGOM), reliability, failure probability

CLC Number: 

  • TU 443
  • Please send e-mail to pingzhou3@126.com if you would like to read full paper in English for free. Parts of our published papers have English translations.
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