Topological optimization design method under solid weight pressure load and based on constraint equation

Abstract

The invention discloses a topological optimization design method under a solid weight pressure load and based on a constraint equation, and the topological optimization design method is used for solving the technical problem that an existing topological optimization design method under the solid weight pressure load is poor in performance of an optimization result. According to the technical scheme, a displacement constraint equation is introduced into a boundary which makes contact with a load, and points on the boundary which makes contact with the load and the degree of freedom in the same direction as the load are constrained and designed to be equal. As a result, even if materials on the boundary change in a topological optimization process, the size and the direction of a pressure load can be kept unchanged due to the fact that all nodes on a contact surface and the degree of freedom in the same direction as the load are constrained to be equal, and the performance of the optimization result of an optimization model is improved. When the topological optimization design method is used for an optimization design, the flexibility of a supporting structure after optimization is 0.0648mJ; when a method in a document 2 is used, the contact surface of the load is defined as a non-design region, and the flexibility of the supporting structure after the optimization is 0.0967mJ; and detection proves that the performance of the optimization result obtained through the topological optimization design method is better.

Description

technical field [0001] The invention relates to a topology optimization design method under solid weight pressure load, in particular to a topology optimization design method under solid weight pressure load based on constraint equations. Background technique [0002] refer to Figure 1~2 . In the fields of aerospace and automobile manufacturing, the lightweight design of structures under solid weight and pressure loads is a typical engineering problem. Most topology optimization techniques are still limited to solving design problems with definite boundaries and design domains under fixed loads. That is, during the iterative process of topology optimization, the load does not change; the material boundary of the load application position does not change; the design domain does not change. The difficulty of the design problem with uncertain boundaries is that the total force exerted by the solid weight pressure 1 on the support structure changes due to possible changes in t...

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Problems solved by technology

[0008] In order to overcome the shortcomings of poor optimization results of existing topology optimization design methods under solid weight pressure loads, the present invention provides a topology optimization design method under solid weight pressure loads based on constraint equations

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