Efficient reliability-based design optimization for the meshless method

摘要

In this paper, a reliability-based design optimization (RBDO) method is presented to support reliability-based design for a hyper-elastic structure with frictional contact using a meshless method. For the structural reliability analysis, the first-order reliability method (FORM) is utilized. The conventional reliability index approach (RIA) is employed in describing the probabilistic constraint in RBDO. A relative design closeness is defined and RBDO is performed using this relative design closeness to improve overall efficiency in RBDO. The continuum DSA method is employed to search the most probable point (MPP) in the standard normal random variable space for structural reliability analysis. The material derivative of continuum mechanics is utilized to develop the continuum-based design sensitivity analysis for the hyper-elastic constitutive relation and penalized contact formulation. The sensitivity equation is solved at each converged load step using the same tangent stiffness of response anlaysis due to the path dependency of the frictional contact problem. A numerical reuslt is presented to validate the proposed method.