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Research and software implementation of variable connection algorithm for structural topology optimization. (Chinese. English summary) Zbl 1363.74070

Summary: In structural topology optimization, variable connection means that topology variables are connected with constraints in order to obtain a specific configuration, and to meet the requirements of engineering design and restrictions of manufacturing technology. A formula with variable connection for several filtration methods and sensitivity analysis is presented. Based on the software integration platform SiPESC and topology optimization software SiPESC.TOPO, a new algorithm design framework for variable connection of topology optimization is constructed. The core idea of software design is that algorithmic class and data model class are designed individually using object oriented methods and software design patterns. The mechanism of variable connection and the interfaces of software modules are discussed in detail. Finally, the feasibility of variable connection concept and algorithm framework on static problems, dynamic problems and heat conduction problems are verified by numerical examples.

MSC:

74P15 Topological methods for optimization problems in solid mechanics
74S99 Numerical and other methods in solid mechanics
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