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Structural topology optimization design sensitivity filtering method based on perimeter threshold

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: 2014-12-31
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 perimeter threshold

Method used

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  • Structural topology optimization design sensitivity filtering method based on perimeter threshold
  • Structural topology optimization design sensitivity filtering method based on perimeter threshold
  • Structural topology optimization design sensitivity filtering method based on perimeter threshold

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Embodiment Construction

[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 E=1GPa of the two-dimensional simply supported beam material, 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= on the middle part of the upper side of the simply supported beam 1kN, the direction is downward. Because the structure and load are both symmetrical, half of the structure is taken for optimal design. The method steps are as follows:

[0026] (a) Establish a topology optimization model, the design domain is the entire simply supported beam, the design goal is to maximize the overall stiffness of the simply supported beam structure, and the constraint condition is that the structure volume fraction is less than 0.5; set the perimeter threshold T = 0.1mm.

[0027] (...

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Abstract

The invention discloses a structural topology optimization design sensitivity filtering method based on perimeter threshold, which is used for solving the technical problem that the topology optimization design structure is poor in manufacturability in the existing structural topology optimization design sensitivity filtering method. The technical scheme provided by the invention comprises the steps of firstly, building a topology optimization model; secondly, calculating a sum of absolute values of differences of fake intensities of all units and adjacent units of a finite element model of each iteration step as a total perimeter P; and setting a perimeter threshold T, if the absolute value of difference of the total perimeters P of the two adjacent iteration steps is less than the perimeter threshold T, the sensitivity filtering is forbidden in the current iteration step. According to the method, the topology optimization result is prevented in the checkerboard phenomenon, and the manufacturability of the topology optimization design structure becomes strong. Meanwhile, the topology optimization iteration steps are reduced, namely, the iteration steps as required by the structural topology optimization design in the embodiment are reduced from 119-step convergence in the background technology to 75-step convergence.

Description

technical field [0001] The invention relates to a sensitivity filtering method for structural topology optimization design, in particular to a sensitivity filtering method for structural topology optimization design based on a perimeter threshold. 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...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F19/00
Inventor 朱继红高欢欢谷小军侯杰李军朔张卫红
Owner NORTHWESTERN POLYTECHNICAL UNIV
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