Functional gradient continuum structure lightweight design method considering reliability

A lightweight design, functional gradient technology, applied in design optimization/simulation, computer-aided design, calculation, etc., can solve problems such as inapplicability, high calculation cost, imperfect theory, etc., to achieve the effect of strong engineering applicability

Pending Publication Date: 2020-12-25
BEIJING UNIV OF CHEM TECH
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Problems solved by technology

However, reliability analysis using MCS is computationally expensive and thus not suitable for practical engineering applications
Relevant research on topology optimization methods for the reliability of FGM structures is still blank, so the theory is not yet perfect

Method used

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  • Functional gradient continuum structure lightweight design method considering reliability
  • Functional gradient continuum structure lightweight design method considering reliability
  • Functional gradient continuum structure lightweight design method considering reliability

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Embodiment Construction

[0050] The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.

[0051] Such as figure 1 As shown, the present invention proposes a lightweight design method for a functionally graded continuum structure considering reliability, comprising the following steps:

[0052] Step 1: Based on the improved economic index MMWDC (Modified Minimum Weight with a Displacement Constraint, MMWDC) model and FORM (First Order Reliability Method, FORM) reliability analysis method, establish the objective function, displacement constraints, reliability constraints and convergence The topology optimization RBTO-MMWDC-FGM model of the FGM continuum structure considering the reliability of the criterion is as follows:

[0053]

[0054] In the formula, E n is the n-dimensional Euclidean space, W is the structural mass, t is the design variable, is the intrinsic mass of unit i under load condition l, f w (t) is the quality ...

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Abstract

The invention discloses a functional gradient continuum structure lightweight design method considering reliability. The method comprises the steps of firstly, creating an RBTOMMWDCFGM model and determining design parameters by sensitivity analysis; secondly, establishing a systematic material model for two functional gradient structures including multi-layer variable stiffness and continuous gradient stiffness, endowing appropriate material attributes according to actual design problems, and establishing a finite element model; then, establishing explicit expression of a topological variableto a target function and a constraint condition, solving the standard optimization equation by adopting a Lagrange multiplier method, and updating the optimization equation according to the established iterative loop system and convergence criterion; and extracting and outputting an optimization result by a developed optimization program. The invention follows the MWDC model, the optimization solving efficiency can be effectively improved, the design concept of coordination and unification of safety and economy in the engineering design problem is better met, and the method plays an importantrole in promoting development of the engineering technical field with the requirements for reliability and light weight.

Description

technical field [0001] The invention belongs to the technical field of engineering structure-oriented lightweight design, and in particular relates to a method for lightweight design of a functional gradient continuum structure considering reliability. This method considers the influence of the uncertainty of the working load on the structural strength and stiffness and realizes the formulation of the lightweight design scheme of the functionally graded continuum structure under displacement constraints, which provides a basis for the lightweight design of the functionally graded continuum structure based on reliability. new ideas. Background technique [0002] With the rapid development of high-tech industries such as aerospace, vehicle engineering, and mechanical engineering, it is difficult to meet the ever-increasing comprehensive technical requirements only by replacing a single material. Therefore, the research object of structural design has gradually developed from t...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/23G06F30/27G06F113/26
CPCG06F30/23G06F30/27G06F2113/26
Inventor 谢鹏程尹芳放丁玉梅杨卫民
Owner BEIJING UNIV OF CHEM TECH
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