Continuous body displacement and frequency constraint topological optimization design method considering damage-safety condition

A technology of frequency constraints and safety conditions, applied in design optimization/simulation, geometric CAD, etc., can solve problems such as structural damage and lack of structural redundancy, reduce sensitivity, strengthen theoretical significance and application value, and increase redundancy Effect

Pending Publication Date: 2020-06-05
BEIJING UNIV OF TECH
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Problems solved by technology

[0003] The traditional topology obtained through topology optimization is usually the best force transmission path under the action of external force, and the performance of the material can be fully utilized, but the opti

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  • Continuous body displacement and frequency constraint topological optimization design method considering damage-safety condition
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Embodiment Construction

[0021] Such as figure 1 As shown, the present invention provides a method for topological optimization design of continuum displacement and frequency constraints considering damage-safety conditions, and the specific solutions are as follows:

[0022] The first step is to determine the base structure of the continuum and establish a finite element model:

[0023] First, based on the design requirements, determine the maximum design boundary of the continuum structure to be optimized, that is, determine the base structure, and determine the damaged design domain and non-damaged design domain according to certain performance requirements; secondly, based on the MSC.Patran software platform, establish the base structure Geometric model, and divide finite element mesh; finally define material, assign element properties, impose boundary conditions, set static analysis and modal analysis two different working conditions; finally, set manager analysis and modal analysis output respec...

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Abstract

The invention discloses a continuum displacement and frequency constraint topological optimization design method considering damage-safety conditions. The method comprises the steps: establishing a finite element model according to a continuum-based structure; determining a damage working condition number, and inputting an initial damage area center coordinate value and a damage area parameter; inputting displacement and frequency constraint optimization parameters to form an optimization model; carrying out static analysis on the damage-safety structure containing the damage working conditionin sequence, and constructing explicit expression of displacement constraints; carrying out modal analysis of the damage-safety structure, and constructing an explicit expression of frequency constraint; establishing an approximate continuous mathematical optimization column formula of a topological optimization model considering displacement and frequency constraints under damage-safety conditions, and solving the optimization model; and performing inversion processing on the optimal topological configuration to obtain the optimal topological configuration and displacement and fundamental frequency of each structure damage condition. According to the invention, a reference is provided for considering the damage-safety topological optimization problem in the field of statics and dynamics.

Description

technical field [0001] The invention belongs to the technical field of engineering structure design, and in particular relates to a continuum displacement and frequency-constrained topology optimization design method under damage-safety conditions. Background technique [0002] Topology optimization is to seek the best force transmission path of the structure with the material distribution as the optimization object under the given external load and boundary conditions. This optimization method is gradually developed with the rapid development of finite element theory and computer software technology. . Compared with size optimization and shape optimization, structural topology optimization can determine more design parameters, save materials more significantly, and achieve greater economic benefits. At the same time, it can provide engineering designers with a comprehensive It is very attractive to engineering designers to apply the optimal scheme to the layout of the stru...

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Application Information

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IPC IPC(8): G06F30/23G06F30/15
Inventor 杜家政孟凡伟汤威张颖
Owner BEIJING UNIV OF TECH
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