Journal
STRUCTURAL SAFETY
Volume 60, Issue -, Pages 130-143Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.strusafe.2016.02.005
Keywords
Equivalent extreme value; Maximum entropy principle; Fractional moments; Bivariate dimension reduction method; Structural dynamic systems
Categories
Funding
- Fundamental Research Funds for the Central Universities in China [531107040890]
- National Natural Science Foundation of China [51422814, U1134209, U1434204, 51278496]
Ask authors/readers for more resources
The reliability of structural dynamic systems involving random parameters can be assessed based on the equivalent extreme value distribution of response. To derive such probability density function, a new method is proposed in the present paper, in which an iterative scheme is involved. In each iterative step, an estimated solution is easily obtained firstly by solving a linear system of equations and the More accurate result is then searched around the estimated solution with high efficiency. The derivation is based on the principle of maximum entropy, in which an un-constrained optimization problem with fractional moments is involved. Three different methods for numerical integration of fractional moments are compared, which indicates that the bivariate dimension reduction method ensures the accuracy and efficiency simultaneously. Two examples, of which one deals with a linear random structure subjected to seismic excitation, the other deals with a nonlinear structure with random parameters subjected to random ground motions, are illustrated to validate the proposed method. The investigations show that the proposed method is of satisfactory accuracy and applicable to the reliability assessment of practical structural dynamic systems. (C) 2016 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available