AN EFFICIENT ALGORITHM FOR THE PROBABILITY DENSITY EVOLUTION ANALYSIS OF STRONG NONLINEAR STRUCTURES
In structural engineering,how to tackle the randomness in various aspects is one of the most important issues to structural safety.The basic thought of physical stochastic systems provides a new approach to problems involving randomness.In this context,the probability density evolution method (PDEM) was developed and studied.In the present paper,the fundamentals of probability density evolution method (PDEM) are revisited firstly.Some new advances are outlined,including the concept of point evolution and ensemble evolution and the rank of an integral which can be used to clarify the difference between the cubature formula and PDEM.The quasi-symmetric point method and its improvement,the rotational quasi-symmetric point method,are introduced and exemplified.Problems to be further explored are outlined.
Nonlinear structures stochastic response probability density evolution method quasi-symmetric point method Givens transform
Jianbing Chen Shenghan Zhang Jie Li
State Key Laboratory of Disaster Reduction in Civil Engineering & School of Civil Engineering, Tongji University, Shanghai 200092, P.R.China
国际会议
The Twelfth International Symposium on Structural Engineering (第十二届结构工程国际研讨会)
武汉
英文
484-489
2012-11-17（万方平台首次上网日期，不代表论文的发表时间）