Continuum structure non-probability topologicaloptimization method based on bounded uncertainty

A technology of topology optimization and uncertainty, applied in design optimization/simulation, special data processing applications, instruments, etc., can solve problems such as few results, improve performance, reduce design cycle and economic cost, and reduce structural weight.

Active Publication Date: 2017-05-10
BEIHANG UNIV
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Problems solved by technology

However, there are few achievements in the research of non-probabilistic reliability topology optimization. The existing research uses the non-probabilistic reliability index indirectly instead of directly using the sens

Method used

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  • Continuum structure non-probability topologicaloptimization method based on bounded uncertainty
  • Continuum structure non-probability topologicaloptimization method based on bounded uncertainty
  • Continuum structure non-probability topologicaloptimization method based on bounded uncertainty

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Embodiment

[0112] In order to understand more fully the characteristics of the invention and its applicability to engineering practice, the present invention aims at such as Figure 6 The shown rectangular slab was designed for topology optimization. The design area is a rectangular area of ​​1.4m×0.3m, with a thickness of 0.001m, divided into 140×30 units. Material elastic modulus E=100Mpa, Poisson's ratio μ=0.3. The left and right sides of the rectangular area are fixed, applying P 1 =P 3 =2.5N,P 2 =3N Three vertical downward forces, regardless of the influence of gravity, constrain the displacement of the three loading points, so that u 1 1 1 1 =[2.25,2.75]N,P 2 =[2.7,3.3]N,P 3 =[2.25,2.75]N; set displacement constraint u 1 , u 2 , u 3 There is a 1% fluctuation relative to the nominal value, i.e. u 1 =[0.72,0.88]mm,u 2 =[1.35,1.45]mm, u 1 =[0.72,0.88]mm.

[0113] Figure 7 The results of deterministic topology optimization and the comparison of topology optimization resu...

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Abstract

The invention discloses a continuum structure non-probability topologicaloptimization method based on bounded uncertainty. The method comprises the following steps: first establishingoptimization feature distance d which is a non-probability reliability index based on a non-probabilistic set-based reliability model in consideration of uncertainty effects of load, material characteristics, a design permissible value and other parameters under a finite sample conditionaccording to stress characteristics of the continuum structure; and the establishing a topologicaloptimization model based on a moving asymptotesoptimization algorithm; and acquiring the most configuration of the continuum structure under a given external storage and boundary condition through repeated iteration by taking the reliability as the constraint, the weight-losing as an optimization target and the relative density of a unit as the design variable. By use of the non-probability topologicaloptimization method disclosed by the invention, the comprehensive influence of the uncertainty to the structure configuration is reasonably represented in the process of performing the topologicaloptimization design, the effective weight-losing can be realized, and the design takes account of the security and the economy by itself.

Description

technical field [0001] The present invention relates to the technical field of topology optimization design of continuum structures, in particular to a non-probabilistic topology optimization method for continuum structures based on bounded uncertainty. Based on the constraints of the non-probabilistic reliability index of optimal feature distance d, the topology optimization of the continuum structure is carried out. Background technique [0002] In recent years, thanks to the great progress of computer technology, structural optimization technology has also been greatly developed. Its application scope covers aerospace, machinery, civil engineering, water conservancy, automobile and many other fields. The optimization method has expanded from simple size parameter optimization to Shape optimization and more challenging topology optimization. According to different research objects, structural topology optimization can be divided into two categories: discrete structural to...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/20G06F2111/10
Inventor 王磊刘东亮邱志平夏海军蔡逸如耿新宇刘易斯
Owner BEIHANG UNIV
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