Optimization method for designing multi-lattice structure meeting local buckling constraint

A buckling constraint and optimization method technology, applied in the field of structural optimization, can solve problems such as acquisition, strength design not reaching the theoretical strength limit, local buckling of slender rod members, etc., to achieve the effect of optimizing convergence and ensuring geometric validity

Pending Publication Date: 2022-05-20
ZHEJIANG UNIV
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Problems solved by technology

However, the buckling behavior of a structure usually has inverse properties to the strength or stress design and is difficult to obtain directly from the optimized structure
However, when the structure is subjected to compressive lo

Method used

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  • Optimization method for designing multi-lattice structure meeting local buckling constraint
  • Optimization method for designing multi-lattice structure meeting local buckling constraint
  • Optimization method for designing multi-lattice structure meeting local buckling constraint

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[0066] The present invention will be further described below in conjunction with the accompanying drawings.

[0067] Fig. 1 is a schematic flow sheet of the inventive method, and the inventive method is specifically:

[0068] 1) Use the free material optimization method to solve the optimal continuous elastic tensor distribution

[0069] The material elastic tensors at each point in the domain are taken as design variables, and their optimal distribution within the design domain is found by optimization. For a discrete macro-design domain in two dimensions It consists of M disjoint regular quadrilateral units Ω of the same size e composition. Construct a linear semidefinite programming problem defined on Ω:

[0070]

[0071] s.t.

[0072]

[0073] where D e is a symmetric positive definite 3×3 elastic tensor matrix, τ is the objective function of the linear semidefinite problem, K(D) is the global stiffness matrix of the structure, f is the load constraint, is a...

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Abstract

The invention provides an optimization method for designing a multi-lattice structure meeting local buckling constraint. The method comprises the following steps: firstly, introducing a concept of free material optimization, and finding out optimal elastic tensor distribution in all feasible elastic continuum; a matched grid structure is embedded in each macroscopic element through an elastic tensor approximately containing buckling constraint. In order to obtain a better structure, stresses in local units are introduced in particular. Finally, the lattice structure with good overall rigidity and local buckling resistance is obtained through the method, and therefore the mechanical property of the structure is improved.

Description

technical field [0001] The invention relates to the technical field of structure optimization, in particular to a local buckling-constrained multi-lattice structure optimization method. Background technique [0002] Lattice structures are lightweight and have excellent multifunctional properties, such as impact resistance, energy absorption, damping enhancement, and defect tolerance. These outstanding properties make lattice structures have a large number of potential applications in industry, including aerospace, automotive, and biomedical fields. Different lattice structures have different material properties, which can be broadly classified as a multimaterial design optimization problem. [0003] Multi-scale design optimization, simultaneously optimizing the macrostructure and microstructure topology, is very helpful to realize the design optimization of complex lattice structures. The traditional multi-scale topology optimization method is mainly based on the homogeniz...

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Application Information

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IPC IPC(8): G06F30/20G16C60/00G06V10/762G06K9/62
CPCG06F30/20G16C60/00G06F18/23Y02P90/30
Inventor 杨星彤李明
Owner ZHEJIANG UNIV
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