Large mass method based structural topology optimization design method under simple harmonic accelerated speed excitation

A design method and topology optimization technology, applied in design optimization/simulation, calculation, special data processing applications, etc., can solve problems such as poor practicability

Inactive Publication Date: 2016-03-23
NORTHWESTERN POLYTECHNICAL UNIV
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Problems solved by technology

[0005] In order to overcome the shortcomings of poor practicability of existing structural topology optimization methods under simple harmonic loads, the present invention provides a structural topology optimization design method based on large mass method under simple harmonic acceleration excitation

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  • Large mass method based structural topology optimization design method under simple harmonic accelerated speed excitation
  • Large mass method based structural topology optimization design method under simple harmonic accelerated speed excitation
  • Large mass method based structural topology optimization design method under simple harmonic accelerated speed excitation

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Embodiment Construction

[0036] Reference Figure 1-2 . The specific steps of the structural topology optimization design method under the excitation of simple harmonic acceleration based on the mass method of the present invention are as follows:

[0037] (a) Establish a finite element model of the design space: divide the rectangular plane structure with the length and width of 0.8m, 0.4m and 0.001m into 80×40 square grids, and apply a mass of 3×10 to all nodes on the left boundary of the structure 7 The mass point of kg constrains all the degrees of freedom of the left boundary of the structure except the vertical direction. Set topology design variable η h The initial value is 0.5. Total number of structural units N h = 3200. Given material density ρ=7800kg / m 3 , Young's modulus E=200GPa, the upper limit of mass constraint

[0038] (b) Set the excitation load as the simple harmonic load acting on the left boundary of the structure at all nodes where the large mass point is applied vertically upward...

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Abstract

The invention discloses a large mass method based structural topology optimization design method under the simple harmonic accelerated speed excitation and is used for solving the technical problem of poor practicability of a structural topology optimization method under current harmonic force excitation. According to the technical scheme, multipoint accelerated speed excitation is converted into force excitation with a large mass method, the force excitation is applied to a structure, structural displacement response is calculated with a modal acceleration method, and design is implemented with the minimum structural displacement response in a specified position as a target and with structural mass as constraint. By means of the method, simple harmonic excitation of multipoint accelerated speeds is realized, a clear and effective structure configuration is obtained, and the design demand of multipoint accelerated speed loading in engineering is met. An optimization design result is obtained after 203 times of iteration during implementation. The displacement response amplitude value of an initiating structure under the designed degree of freedom r=204 is 1.8215 m, the displacement response amplitude value of the optimized structure under the designed degree of freedom r=204 is 0.4138 m, and the displacement response amplitude value is reduced by 77.28%.

Description

Technical field [0001] The invention relates to a structure topology optimization method under simple harmonic load, in particular to a structure topology optimization design method under simple harmonic acceleration excitation based on a mass method. Background technique [0002] In the fields of aerospace, automobile manufacturing, and daily household appliances, there are a large number of rotating machinery, such as engines, propellers, machine tools, washing machines, etc. The periodic rotation excitation generated by rotating parts when rotating machinery is working is simply harmonic excitation. Incentives have a great impact on the normal work of the structure, and even damage the structure. Therefore, it is very important to consider the performance of the structure under harmonic excitation when designing the structure configuration. [0003] The document "LiuH, ZhangW.H., GaoT. Acomparative study of dynamic analysis methods for structural topology optimization underharm...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 朱继宏何飞刘虎张卫红杨开科谷小军
Owner NORTHWESTERN POLYTECHNICAL UNIV
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