基于漸進變分法的蛋盒型結構等效剛度分析及優化

臧勇; 王遠; 秦勤; 管奔

doi:10.13374/j.issn2095-9389.2017.09.012

基于漸進變分法的蛋盒型結構等效剛度分析及優化

doi: 10.13374/j.issn2095-9389.2017.09.012

北京科技大學機械工程學院, 北京 100083

基金項目:

中央高校基本科研業務費資助項目(FRF-TP-16-010A3)

工信部2016年智能制造綜合標準化與新模式應用項目

詳細信息

中圖分類號: TB383
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出版歷程
- 收稿日期: 2017-02-22

Equivalent stiffness and optimized design of egg-box structure based on variational asymptotic method

School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China

摘要

摘要: 對蛋盒型結構的等效剛度特性進行了分析并實現了蛋盒型結構參數的優化設計.首先以蛋盒型結構的單胞為研究對象,基于漸進變分法,得到了蛋盒型結構等效剛度特性的數值計算方法.隨后用該方法計算蛋盒型結構不同參數情況下的等效剛度特性,并以結構參數為自變量,等效剛度特性為因變量進行擬合.最后應用擬合公式在限定泊松比或等效剛度的情況下,分別以最大化結構的屈曲載荷和最大化單位質量吸能能力的優化為例,對蛋盒型結構參數進行了量綱為一的優化設計.計算結果表明:蛋盒型結構拉伸剛度降低,彎曲剛度升高;蛋盒型結構的剛度特性與結構參數之間呈現非線性的特點,結構表現出負泊松比的特性;在給定優化目標和限定條件時應用擬合公式可以快速實現蛋盒型結構參數的主動優化設計.
- 蛋盒型結構 /
- 漸進變分法 /
- 等效剛度 /
- 結構優化
Abstract: The equivalent stiffness of the egg-box structure was investigated to achieve structural optimization of the structure parameters. A unit cell of the egg-box structure was studied using the variational asymptotic method to obtain a numerical calculation method for equivalent stiffness of the whole egg-box structure. This numerical calculation method was then used to analyze the equivalent stiffness of the egg-box structure with different structural parameters. A formula for equivalent stiffness characteristics was then fitted, and the structural parameters were treated as independent variables. Finally, the fitted formula was used to optimize the dimensionless structural parameters to obtain maximum buckling load and maximum energy absorbed per unit weight when Poisson's ratio or equivalent stiffness was restricted. Results show that the tensile stiffness of the egg-box structure is reduced, but the bending stiffness is increased. In addition, there is a nonlinear relationship between stiffness and structural parameters, and the structure exhibits a negative Poisson's ratio. Furthermore, active parameters optimization design of the egg-box structure can be easily achieved with the fitted formula.
- egg-box structure /
- variational asymptotic method /
- equivalent stiffness /
- structural optimization

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參考文獻(19)

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