Structural Interval Reliability Algorithm Based on Bernstein Polynomials and燛vidence Theory

Structural reliability is an important method to measure the safety performance of structures under influence uncertain factors. Traditional structural analysis methods often convert limit state function polynomial form whether structure invalid. The parameters mainly exist in intervals. This requires a lot calculation and difficult achieve efficiently. In order solve this problem, paper proposes interval variable multivariate algorithm based on Bernstein polynomials evidence theory problem with cognitive uncertainty. Based non-probabilistic index method, extreme value obtained using properties polynomials, thus avoiding need for sampling problem. applied numerical examples engineering applications such as experiments, results show that has higher computational efficiency accuracy than traditional linear approximation especially some problems nonlinearity. Moreover, can effectively improve reduce cost practical problems.