Reliability analysis of stochastic structures based on probability density evolution method;

Method for dealing with the stochastic structure based on full-probability;

Dynamic reliability sensitivity analysis for stochastic structures under random excitations;

Based on the classic reliability analysis method and the equivalent transformation from non-normal random variable to normal random variable, an iterative method is presented for confidence interval analysis of random structure response variable, which is the complicated or implicit function of the basic random variables in general cases.

Based on these results above, the confidence characteristic of one direction singular rough sets of function was given, and the random structure and the random theorem of one direction singular rough sets of function were presented.

This research presents a new stochastic element method to solve buckling eigenvalue problems for random variables of random structures under several probability distributions.

The analysis of elastic buckling of random structures using recursive stochastic finite element method(RSFEM)is presented.

A new spectral random finite element method——recursive random finite element method to deal with static analysis, free vibration and stability, etc of random structures was introduced.

Strategy of selecting points via sphere of contact in probability density evolution method for response analysis of stochastic structures;

The extreme value probability density function based method for dynamic reliability assessment of stochastic structures;

Approximate methods for dynamic reliability calculation of stochastic structures