Topological optimization is an optimization method that combines topological structure with optimization algorithm. It achieves the purpose of optimal design by changing the topological structure. The research fields of topology optimization are mainly divided into continuum topology optimization and discrete structure topology optimization. No matter which field, it depends on finite element method.
Topology was originally called situation analysis, a term put forward by German mathematician Leibniz 1679. /kloc-In the mid-9th century, German mathematician Riemann emphasized that the study of functions and integrals requires the study of situational analysis. From then on, a systematic study of modern topology began. Topology does not discuss the concept of congruence between two graphs, but the concept of topological equivalence.
The simplest topological property of "connectivity". And "directionality" is an extraordinary attribute. Topological optimization of continuum is to discretize the optimized material into finite elements. Topology optimization of discrete structures establishes a basic structure composed of finite beam elements in the design space, and the algorithm determines whether the elements in the space are left, and the remaining elements are the final topology scheme, thus realizing topology optimization.
Advantages of topology optimization:
1, optimization design
Many times, product design needs to balance various factors and determine the best design scheme. Considering various factors in advance can greatly avoid the possibility of design failure. Reduce the impact on the environment, because topology optimization can minimize the use of materials, so it can be defined as sustainable design.
2. Minimize the use of materials
The most attractive thing about topology optimization is that it can reduce unnecessary weights. Especially in the aviation field, each gram of counterweight needs to increase a lot of design costs. Lighter weight and smaller size mean less energy consumption.
3. High cost performance.
Topology optimization can minimize the use and cost of materials. It also saves other factors, such as packaging, less energy for moving and transporting. Many complex geometric shapes produced by topology optimization will make the standard manufacturing process "difficult to realize", but with the maturity of 3D printing technology, this design is not so difficult to realize.