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Structure topology optimization design sensitivity filtering method based on density threshold value

A technology of sensitivity filtering and topology optimization, applied in computing, special data processing applications, instruments, etc., can solve the problems of poor manufacturability of topology optimization design structures, achieve strong manufacturability, simple optimization iteration process, and variable manufacturability Effect

Active Publication Date: 2012-11-21
NORTHWESTERN POLYTECHNICAL UNIV
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Problems solved by technology

[0006] In order to overcome the deficiency of poor manufacturability of topology optimization design structure in the existing structure topology optimization design sensitivity filtering method, the present invention provides a structure topology optimization design sensitivity filtering method based on density threshold

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  • Structure topology optimization design sensitivity filtering method based on density threshold value
  • Structure topology optimization design sensitivity filtering method based on density threshold value
  • Structure topology optimization design sensitivity filtering method based on density threshold value

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[0025] refer to figure 2 , taking the topology optimization design of a simply supported beam under a symmetrical pressure load as an example to illustrate the present invention. The Young's modulus of the two-dimensional simply supported beam is E=1GPa, Poisson's ratio μ=0.3, the size of the two-dimensional simply supported beam is 240mm long and 40mm high, and the load is to apply a concentrated force F=1kN on the middle part of the upper side of the simply supported beam. direction down. The method steps are as follows:

[0026] (a) Establish a topology optimization model, the design domain is the entire simply supported beam, define the design domain, objective function and constraint conditions of topology optimization, the design objective is to maximize the overall stiffness of the two-dimensional simply supported beam structure, and the constraint condition is that the volume fraction of the structure is less than 0.5, set the density filter lower limit r a =0.1, t...

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Abstract

The invention discloses a structure topology optimization design sensitivity filter method based on a density threshold value, which is used for solving the technical problem that the manufacturability of topology optimization design structure of a conventional structure topology optimization design sensitivity filter method is poor. The method adopts the technical scheme that firstly, a topology optimization model is constructed; and secondly, unit sensitivity and unit pseudo-density are obtained via finite element calculation, unit number n of a model unit pseudo-density xi value is calculated, which is within a given range, a medium unit percentage C is calculated, if the percentage C of a step k of optimization iteration is less than a density threshold value T, sensitivity filter for a step k+1 is forbidden till the optimization iteration is over, optimization design is executed by adopting an optimization criteria method, and a topology optimization result of a two-dimensional simple supported beam, thus the manufacturability of the topology optimization structure is enhanced. With the adoption of a density threshold value method, iteration steps required by the structure topology optimization design are decreased by 71 steps from 112 steps of constringency to 41 steps of constringency compared with a background art.

Description

technical field [0001] The invention relates to a sensitivity filtering method for structural topology optimization design, in particular to a density threshold-based sensitivity filtering method for structural topology optimization design. Background technique [0002] refer to figure 1 , figure 2 . In aerospace, automobile manufacturing and other fields, in order to meet the structural lightweight design requirements, topology optimization design technology is widely used in the structural design of its parts. Due to the non-unique numerical solution of the continuous structure after finite element discretization, the topology optimization design model without additional constraints is an ill-conditioned problem, and there will be a checkerboard phenomenon. As a result, the manufacturability of the final topology optimization design structure is reduced, and the engineering significance of topology optimization design technology is lost. [0003] Document 1 "99 line t...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
Inventor 朱继红侯杰谷小军高欢欢李军朔张卫红
Owner NORTHWESTERN POLYTECHNICAL UNIV
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