Development Of Moving Morphable Components Method For Plane Problems Based On SiPESC

With the increasing requirements of structural optimization design,more and more commercial CAE software systems have implemented topology optimization modules in recent years.However,due to its limited mechanism of development environment,these systems can not keep up with the continuous innovation of topology optimization theory and the needs for structural diversification and customization.In some respects,developments of these commercial software may show time delay and sometimes cannot meet engineering requirements in time.Based on the highly open and highly scalable SiPESC scientific computing platform,this paper develops an open software architecture of topology optimization module for a new algorithm,Moving Morphable Components(MMC).The moving morphable components method eliminates the traditional idea of describing the structural topology by pixel points,and creatively proposes to describe the structural topology by a combination of several structural components.The structural component is geometrically formed by covering and spatial transforming on the design domain to change the topological form of the design domain.It is mathematically described by a high-dimensional level set function,and is interpolated with the finite element by a regularization function value.And then seeking structural response,sensitivity,etc.This paper proposes a plug-in development design framework based on the MMC algorithm on SiPESC platform.The development work of MMC in this paper shows that,compared with the traditional variable density method,the moving morphable components method firstly reduces the number of design variables and improves the optimization efficiency.Secondly,it avoids some image processing related problems,and because of its explicitness,it is relatively simple to deal with some complex boundary problems.This paper deduces the MMC main formulations for software development in detail,and proposes the specific process of topology optimization module development,and also gives some examples based on the moving morphable components topology optimization algorithm module,including static problems and natural frequency problems.The results show that the optimization results of the moving morphable components method are almost consistent with the traditional topology optimization algorithm,which proves the correctness of the module development,and the structural topology boundary of the optimization result is very clear,completely avoiding some numerical problems such as gray/weak elements and the checkerboard pattern.In addition,MMC reduce at least 95% of the numbers of design variables in the optimization process,greatly improving the optimization efficiency.It presents the superiority of the MMC algorithm and demonstrates that SiPESC is a platform-friendly module development environment and a feature-rich finite element analysis system.