Improved response surface method and its application in stability reliability degree analysis of tunnel surrounding rock

Journal of Central South University of Technology (English Edition)

Volumn 14, Issue 6, 2007, Pages 870-876

  Su, Yong Hua ^a   Zhang, Peng ^a   Zhao, Ming Hua ^a  

^a HUNAN UNIVERSITY   (China)

Author keywords

Entropy density function; Quadratic polynomial; Response surface method; Rosenbluth method; Statistic moment

Indexed keywords

POLYNOMIALS; PROBABILITY DENSITY FUNCTION; RANDOM VARIABLES; RELIABILITY ANALYSIS;

QUADRATIC POLYNOMIAL; RESPONSE SURFACE METHOD; ROSENBLUTH METHOD; STATISTIC MOMENT; TUNNEL SURROUNDING ROCK;

ROCKS;

EID: 37449022216     PISSN: 10059784     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11771-007-0165-2     Document Type: Article

References (20)

1. SU Yong-hua, JIANG De-song, ZHAO Ming-hua. Estimation of stability reliability degree of tunnel structure in soft and loose rock mass[J]. Journal of Hunan University, 2006, 33(2): 10-14. (in Chinese)
2. LI Zhi-ye, ZENG Yan-hua. Design Principle and Ways for Underground Structure[M]. Chengdu: South-West Traffic University Press, 2005: 304-310. (in Chinese)
3. BUCHER C G, BOUGUND U. A fast and efficient response surface approach for structural reliability problem[J]. Structural Safety, 1990, 34(1): 57-66.
4. SCHÜELLER G I. On efficient computational scheme to calculate structural failure probability[J]. Probability Engineering Mechanics, 1989, 4(1): 10-18.
5. LIU Y W, MOSES F. A sequential response surface methods and its application in the reliability analysis of aircraft structural system[J]. Structural Safety, 1994, 16(1/2): 39-46.
6. FARAVELLI L A. Response surface approach for reliability analysis[J]. Journal of Engineering Mechanics, 1989, 115(12): 2763-2781.
7. ROSENBLUETH E. Point estimate for probability moment[C]// Proc Nat Acad Sci, USA, 1975, 72: 3812-3814.
8. TONG Xiao-li. Improved Rosenbluth method and its application in structure stability reliability degree analysis[J]. Journal of Dalian Science and Technology of University, 1997, 37(3): 316-321. (in Chinese)
9. ZHAO Guo-fan. Engineering Structural Reliability Theory and Its Application[M]. Dalian: Dalian Technology University Press, 1996: 145-148. (in Chinese)
10. ZHAO Wen-gui. Fourth order moment analysis method for structure stability reliability degree[J]. Journal of Dalian Science and Technology of University, 1992, 32(4): 455-459. (in Chinese)
11. SU Yong-hua, HE Man-chao, GAO Qian. Applying of Rosenblueth method in evaluating stability reliability of anchor-shotcrete net support system for soft-fracture surrounding rock[J]. Chinese Journal of Geotechnical Engineering, 2004, 26(3): 373-379. (in Chinese)
12. SU Yong-hua, HE Man-chao. Simplified calculation approach of response surface method reliability index by point estimation of probability moment[J]. Engineering Mechanics, 2007, 24(7): 11-15. (in Chinese)
13. ZHANG Xiao-qing, KANG Hai-gui, WANG Fu-ming. A new method for reliability problem without explicit performance function[J]. Journal of Dalian University of Technology, 2003, 43(5): 650-654. (in Chinese)
14. SU Yong-hua, ZHAO Ming-hua, ZHANG Yue-ying, et al. On analysis of reliability of slope stability based on Spencer model by the method of difference[J]. Journal of Rock Mechanics and Engineering, 2006, 25(S1): 2750-2756. (in Chinese)
15. SU Yong-hua, ZHAO Ming-hua. Application of response surface method in stability reliability degree analysis for slope[J]. Chinese Journal of Rock Mechancis and Engineering, 2006, 25(7): 1417-1425. (in Chinese)
16. HAN Bin, WU Ai-xiang, DENG Jian, et al. Backfill technical analysis based on reliability theory in the underhand drift cut and filling stoping[J]. Journal of Central South University: Science and Technology, 2006, 37(3): 583-587. (in Chinese)
17. HE Yue-gang, LI Zhi-wei, YANG Xiao-li. Hazard development mechanism and deformation estimation of water solution mining area[J]. Journal of Central South University of Technology, 2006, 13(6): 738-742.
18. XIE Xue-bin, PAN Chang-ling, CAO Ping, et al. An optimization method of stope structure parameter for rock burst tendency mine[J]. Journal of Central South University: Natural Science, 1999, 30(2): 121-125. (in Chinese)
19. DENG Jian, BIAN Li, LI Xi-bing, et al. Analysis of factors and countermeasures of mining subsidence in Kaiyang phosphorus mine[J]. Journal of Central South University of Technology, 2006, 13(6): 733-737.
20. TU Wen-ge, LIN Li-chuan. Analysis on fuzzy reliability of structure[J]. Journal of Central South University of Technology: Natural Science, 2000, 31(4): 371-375. (in Chinese)