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Topology Optimization of Concrete Beam Using Higher Order Finite Elements
Topology optimizations are based on the principle of eliminating solid material to ensure the efficiency of the design with an adequate amount of material. The optimized topology of a structure, the solution should have a clear distinction between solid and void that can be manufactured. The example problem taken in the present study for comparison is modeled with three different finite elements and optimized using three element updating algorithm. The Optimality Criteria (OC) method, Bidirectional evolutionary structural optimization (BESO) method, and Method of moving asymptotes (MMA) algorithm are used to update elements. Minimum compliance topology optimization with a prescribed volume fraction has been adopted for this study. The purpose of using higher-order elements is to check whether it change the optimum layout of the structure. Shape functions of higher-order elements can be derived by extra nodes on the sides of the linear element. BESO algorithm with 4-noded elements shows the fastest convergence with the least time. MMA algorithm with 9-noded elements takes the maximum computation time. Higher-order elements take a greater number of iterations to converge. The convergence history of different finite elements using the BESO algorithm has been checked. The optimum layout of structure in OC and MMA is almost similar in all order finite elements. Optimum topology using BESO method is similar for 8 and 9-noded elements. The fastest converged BESO algorithm shows a slight difference in optimum topology for higher-order elements. Solutions to optimization problems are simulated with a filter and without applying the filter. Higher-order elements extract the layout with less checkerboard pattern without a filter.
Topology Optimization of Concrete Beam Using Higher Order Finite Elements
Topology optimizations are based on the principle of eliminating solid material to ensure the efficiency of the design with an adequate amount of material. The optimized topology of a structure, the solution should have a clear distinction between solid and void that can be manufactured. The example problem taken in the present study for comparison is modeled with three different finite elements and optimized using three element updating algorithm. The Optimality Criteria (OC) method, Bidirectional evolutionary structural optimization (BESO) method, and Method of moving asymptotes (MMA) algorithm are used to update elements. Minimum compliance topology optimization with a prescribed volume fraction has been adopted for this study. The purpose of using higher-order elements is to check whether it change the optimum layout of the structure. Shape functions of higher-order elements can be derived by extra nodes on the sides of the linear element. BESO algorithm with 4-noded elements shows the fastest convergence with the least time. MMA algorithm with 9-noded elements takes the maximum computation time. Higher-order elements take a greater number of iterations to converge. The convergence history of different finite elements using the BESO algorithm has been checked. The optimum layout of structure in OC and MMA is almost similar in all order finite elements. Optimum topology using BESO method is similar for 8 and 9-noded elements. The fastest converged BESO algorithm shows a slight difference in optimum topology for higher-order elements. Solutions to optimization problems are simulated with a filter and without applying the filter. Higher-order elements extract the layout with less checkerboard pattern without a filter.
Topology Optimization of Concrete Beam Using Higher Order Finite Elements
Lecture Notes in Civil Engineering
Jayalekshmi, B. R. (editor) / Rao, K. S. Nanjunda (editor) / Pavan, G. S. (editor) / Resmy, V. R. (author) / Rajasekaran, C. (author)
International Conference on Sustainable Infrastructure: Innovation, Opportunities and Challenges ; 2023 ; Mangalore, India
2024-09-20
11 pages
Article/Chapter (Book)
Electronic Resource
English
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