A level set topology optimization method, system, device and medium

Abstract

The invention discloses a level set topology optimization method, system, equipment and medium, belonging to the field of structure design topology optimization. and the boundary propagation equation; respectively perform spatial smoothing filtering and time smoothing filtering on the strain energy density of each finite element element, and update the value of the Lagrange multiplier in the boundary propagation equation to the Nth after filtering s A small strain energy density, N s is the number of solid finite element elements to be removed at present; topology optimization is performed based on the updated boundary propagation equation and level set function to reduce the flexibility of the design area; the above calculation, filtering, updating and optimization operations are repeated until the optimization is completed. The flexibility of the design region converges to a minimum. A parameter-free method is proposed to determine Lagrange multipliers, which can effectively solve the problems of inaccurate volume constraints, low computational efficiency and unstable convergence of existing methods.

Description

technical field [0001] The invention belongs to the field of structure design topology optimization, and more particularly, relates to a level set topology optimization method, system, equipment and medium. Background technique [0002] Topology optimization is one of the very promising directions in structural optimization. For topology optimization problems, many optimization methods such as homogenization method, Solid Isotropic Material with Penalization (SIMP) method, Bidirectional Evolutionary Structural Optimization (BESO), and level set method have been developed. algorithm. In the level set based topology optimization problem, the level set method transforms the topology optimization problem into a relatively easy shape optimization problem. This feature makes the level set method different from other traditional boundary variational methods that cannot change the topology of the design domain. It has a higher degree of design freedom. [0003] How to determine t...

AI Technical Summary

Problems solved by technology

[0004] Aiming at the defects and improvement needs of the prior art, the present invention provides a level set topology optimization method, system, equipment and medium, the purpose of which is to propose a parameterless method to determine Lagrangian multipliers to solve the problem of the existing level set method In the determination of Lagrange multipliers, the volume constraints are inaccurate, the calculation efficiency is low, and the convergence is unstable.

Images