Level set topological optimization method, system, equipment and medium

Abstract

The invention discloses a level set topological optimization method, system and equipment and a medium, and belongs to the field of structural design topological optimizing. The method comprises the steps that a design area corresponding to a to-be-optimized object is divided into a plurality of finite element units, and a level set function and a boundary propagation equation of the finite element units are established; the strain energy density of each finite element unit is sequentially subjected to space smooth filtering and time smooth filtering, the value of a Lagrange multiplier in the boundary propagation equation is updated to be the Nsth small strain energy density after filtering, and Ns is the number of solid finite element units needing to be removed currently; topological optimization is performed based on the updated boundary propagation equation and the level set function to reduce the flexibility of the design area; and the calculation, filtering, updating and optimization operations are repeatedly executed until the flexibility of the optimized design area is converged to the minimum. A parameter-free method is proposed to determine the Lagrange multiplier, so that the problems of inaccurate volume constraint, low calculation efficiency, unstable convergence and the like in the existing method can be effectively solved.

Description

technical field [0001] The invention belongs to the field of structural design topology optimization, and more specifically 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), level set method, etc. have been developed. algorithm. In level set-based topology optimization problems, the level set method transforms the topology optimization problem into a relatively easy shape optimization problem, which makes the level set method different from other traditional boundary variational methods that cannot change the topology of the design domain. Make it have a higher degree of design freedom. [0003] How to determine the...

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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.

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