Traditional probabilistic reliability method has been widely accepted and used to dealing with uncertainties in engineering.

Mathematical model of topology optimization design of random structure was established,in which the mean of structural weight was taken as minimization objective function,the structural shape topology information was taken as design variables,and the probabilistic reliability index of structural foundamental frequency was taken as constraint conditon.

A mathematical model for topology optimization design with a random structure is established,in which the minimum mean of structural weight is taken as the objective function,the structural shape topology information is taken as design variables,and the probabilistic reliability index of structural total strain energy is taken as the constraint condition.

In this paper,the writers calculated the credibility rate of combination-logic circuit with redundant item,and they also pointed out shield the out-error which input cause,the combination-logic circuit must be inter-digital conjunction.

A procedure of the analysis of non-probabilistic reliability of structural systems;

An iteration approach for structural non-probabilistic reliability analysis based on hyper-ellipsoidal models;

Based on non-probabilistic reliability theory and the optimization design method,considering the interval uncertainties regarding elasticity modulus and loaded force,stable non-probabilistic reliability-based optimization design of compressive bar is discussed and a method for stable non-probabilistic reliability based optimization design is proposed.

The tool that suits this task is probability and reliability analysis,which has been utilized successfully for years.