2006, Volume 8, Issue 5
Strategic Study of CAE >> 2006, Volume 8, Issue 5
Higher Moment Method in Reliability Analysis of Engineering Structure
School of Resources and Safety Engineering, Central South University, Changsha 410083, China
Next Previous
Abstract
A higher moment method with the basis of Chebyshev polynomial { Tk(x)} is presented, which is used in the reliability analysis of engineering structures. The equations of optimal probability density function of stochastic variable or limit state function are derived by use of the higher moments of the function. Subsequently, a reliability index or failure probability of the engineering structures can be calculated. From the comparison of the classical distribution function and the failure probability for the components, this method is proved to be valuable and practicable in engineering application.
Figures
图1
图2
References
[ 1 ] 赵国藩, 金伟良, 贡金鑫.结构可靠度理论[M].北京:中国建筑工业出版社, 2000 link1
[ 2 ] 谢康和, 周健.岩土工程有限元分析理论与应用[M].北京:科学出版社, 2002 link1
[ 3 ] 邓建, 李夕兵, 古德生.岩石力学参数概率分布的信息熵推断[J].岩石力学与工程学报, 2004, 23 (13) :2177~2181 link1
[ 4 ] 邓建, 李夕兵, 古德生.结构可靠性分析的多项式数值逼近法[J].计算力学学报.2002, 19 (2) :212~216 link1
[ 5 ] Han Pinghong, Lind N C.Approximate reliability analysisusing normal polynomial and simulation results[J].Structural Safety, 1996, 18 (4) :329~339
[ 6 ] 李云贵, 赵国藩.结构可靠度的四阶矩分析法[J].大连理工大学学报, 1992, 32 (4) :455~459 link1
[ 7 ] 李庆扬, 王能超, 易大义.数值分析[M].武汉:华中科技大学出版社, 2001 link1
京公网安备 11010502051620号
