A topology optimization method for macro-micro-integrated structures considering stress constraints

Abstract

The invention discloses a macro-micro integrated structure topology optimization method considering stress constraints. According to the method, for the topology optimization problem of a structure with a macroscopic solid material and a micro-truss at the same time, the micro-truss is equivalently expressed as a mean material by adopting a representative volume element method; for the solid material, a stress comprehensive function is used for representing the stress level of the solid material; then an adjoint vector method is adopted for solving the stress comprehensive function and a partial derivative value of a displacement to a design variable; and finally, the macro-micro integrated structure topology optimization considering the stress constraint is solved by building a double-level optimization model, wherein an inner layer is solved by adopting a moving asymptotic line method, the displacement constraint of the structure and the stress constraint of the solid material are achieved, and an outer layer adopts a univariate function zero solving algorithm to realize the stress constraint of the micro-truss. The provided topology optimization method can effectively control the stress level of the macro-micro integrated structure to realize the topological optimization of the macro-micro integrated structure under the stress constraint.

Description

technical field [0001] The invention relates to the technical field of topology optimization design of continuum structures, in particular to a macro-micro integrated structure topology optimization method considering stress constraints. Background technique [0002] Structural optimization, especially shape and topology optimization, has been identified as one of the most challenging tasks in structural design. Over the past two decades, various techniques and methods have been developed for topology optimization of structures. Representative methods include level set method, ESO method (evolutionary structural optimization), SIMP method (solidisotropic material with penalization) and so on. With the widespread use of topology optimization technology and the maturity of 3D printing molding technology, multi-material structures have become possible, and their design has attracted increasing attention, especially in aerospace structures, due to the excellent unit mass of mul...

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Problems solved by technology

[0004] In practice, the primary constraint for structural optimization should be stress, even in multi-material structures, however, no one has achieved this in the existing literature due to the complexity of stress constraints in multi-material structures

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