Continuum Topoloyg Optimization And Prestress Optimal Design Based On ANSYS Platform And Its Application

Topology optimization is one of the most popular research directions in structureoptimization. Over the last several decades, the availability of high-speed computers andthe rapid improvements in algorithms used for design optimization have transformed thetopic of structural optimization from the previous narrowness of mostly academic interestto the current stage where a growing number of engineers and architects start toexperiment with and benefit from the optimization techniques. In this thesis, two topologyoptimization modules are developed in the platform of ANSYS software based on SIMPmethod and BESO method, as well as fully using the powerful function of FEM analysisof ANSYS software.Firstly, basic theories of SIMP and Optimality Criteria(OC) are introduced. Amathematical model for topology optimization of continuum structures based on SIMPwas established. The objective function of the problem is the maximum stiffness and usingthe structure volume as the constraint condition. After that，topology optimization designsfor short cantilever beams implemented by ANSYS programs and the results weresatisfied.Secondly, based on the platform of ANSYS, two different numerical simulations onthe BESO method are carried out in this paper, i.e., soft-kill BESO or hard-kill BESO.Furthermore, the sensitivity filter scheme was introduced to reduce stress level ofstructure.Thirdly, for the topology optimization problems of complex three-dimensional bridgestructures, this section introducing artificial materials and Ishai stress to overcome the thestructure model singularity problem. We apply the topology optimization method to thearc-bridge and continuous rigid-frame bridge, the result demonstrates that the proposedimprove method is efficient and valid to solve the related problems. So it is suitable to beapplied in the engineering.Lastly, this chapter gives a method of optimized design of the prestressing tendons incontinuous rigid-frame bridge which is constructed with cantilever. which based on themaximum safety degree criteria. The first step is selecting the construction control section and the restriction condition is the maximum limit bending moment of the discrete section.The second step is using Optimization Toolbox of MATLAB to optimize the prestressingtendons.