Structural Stochastic Analysis And Fatigue Reliability Analysis Of Structural System Based On Finite Volume Method

The viewpoint that considering the influences of stochastic factors is recognized by people during structure analyzes and design.It is significant to study structural stochastic analysis and reliability analysis of structural systems.At present,the development of the reliability theory of structural components has been more mature,but the development of the reliability theory of structure systems is relatively slow.The difficulty of structural stochastic analysis and reliability analysis of structural systems is the explicit expressions between random response and basic random variables.The problem has not been well solved.Therefore,the finite volume method is put forward to solve the difficult problem.Finite volume method is widely used in the field of computational fluid dynamics.Compared with other numerical algorithm,the method is simple and easy to implement,and the equation exists clear physical meaning,it shows the conservation of dependent variables in control volume.Display algorithm is used to solve structural dynamic stochastic analysis by finite volume method.The explicit expressions between random response and basic random variables can be given,which makes the structural dynamic stochastic analysis problems easy to implement and lays theoretical foundation for reliability analysis of structural systems.According to the basic theory of finite volume method,the basic control equation has been established by finite volume method,the numerical discrete format of control equation is deduced by unstructured grid,the basic solution process of structure static and structure dynamic has been given.According to examples analysis,the calculated results of finite volume method has been compared with the analytic solution and the results of finite element method,which verified the correctness of the proposed method and proved the accuracy and high computational efficiency of the method.Structural static stochastic analysis has been carried out based on finite volume method.Combination of perturbation method and finite volume method,the entity structure model of static stochastic analysis has been established.The basic equations of structural static stochastic analysis have been deduced.The problem of structural static stochastic analysis has been calculated by self-compiled program.The correctness of the proposed method has been validated by Monte Carlo method,and the accuracy and high computational efficiency of the method has been proved.It can provided theoretical reference for engineering application.Structural dynamic stochastic analysis has been studied based on finite volume method.Combination of perturbation method and finite volume method,the entity structure model of dynamic stochastic analysis has been established.The explicit expressions between random response and basic random variables have been deduced.The basic solution process of structural dynamic stochastic analysis has been given.The problem of structural dynamic stochastic analysis has been calculated by considering the randomness of load and structure.The calculated results have been compared with Monte Carlo method,which verified the correctness and feasibility of the proposed method.The difficult problem of structural dynamic stochastic analysis and reliability analysis has been well solved.Finally,the fatigue reliability analysis of the entity structure system has been.studied based on finite volume method.The fatigue reliability analysis model of entity structure system has been established.The fatigue failure criterion of entity structure system has been proposed based on finite volume method;the basic process of searching main failure modes of structure system has been given.The fatigue failure probability and reliability of the entity structure system has been calculated,the calculation results are in conformity with the practical situation.It can provided theoretical reference for engineering application.