曲线纤维铺放复合材料层合板结构拓扑优化方法研究  

Research on topology optimization method of composite laminated plates with curvilinear fiber laying paths

作　　者：王天立 闫超 同新星 樊家辉 杨小康 元振毅 WANG Tianli;YAN Chao;TONG Xinxing;FAN Jiahui;YANG Xiaokang;YUAN Zhenyi(AVIC Aircraft Corporation Ltd.,Composite Materials Factory,Xi’an 710089,China;School of Mechanical and Precision Instrument Engineering,Xi’an University of Technology,Xi’an 710048,China)

机构地区：[1]中航西安飞机工业集团有限公司复合材料厂,西安710089 [2]西安理工大学机械与精密仪器工程学院,西安710048

出　　处：《复合材料科学与工程》2023年第6期52-58,66,共8页Composites Science and Engineering

基　　金：陕西省自然科学基金面上项目(2022JM197);中国博士后科学基金(2022MD713799);陕西省重点研发计划(2023-YBGY-387)。

摘　　要：本文以曲线纤维铺放复合材料层合板为对象,构建了层合板单层曲线纤维铺放路径模型;结合层合板离散和单元等效原则,建立了曲线纤维铺放层合板单元等效本构关系;基于材料惩罚模式,以最小化应变能为评价结构刚度的指标,提出了体积约束下曲线纤维铺放复合材料层合板结构拓扑优化模型;基于有限元和移动渐近线方法求解拓扑优化模型,以获取层合板结构最优拓扑构型,采用数值算例验证设计方法的准确性。结果表明:构建的曲线纤维铺放层合板结构拓扑优化方法能够获得有效的拓扑构型,改变曲线纤维铺放路径可使悬臂梁和简支梁结构刚度分别提高36.9%和22.6%,性能得到明显改善。Composite laminated plates with curvilinear fiber laying paths are taking as the research object in this paper.A model of curvilinear fiber laying path in single layer for the composite laminated plates was firstly constructed.Combined with the discretation and element equivalent principles of the laminated plates,the elemental equivalent constitutive relation of laminated plates with curvilinear fiber paths was established.Based on the material penalty model,a topology optimization model of composite laminated plates with curvilinear fiber paths under volume constraint was proposed to minimize the strain energy to evaluate the structural stiffness.The topology optimization model was solved based on finite element and moving asymptote method to obtain the optimal topological shape of laminated structures.Numerical examples were used to verify the accuracy of the design method.The results show that the topology optimization method can obtain effective topological shape,and the structural stiffness of cantilever beam and simply supported beam can be increased by 36.9%and 22.6%respectively.The performances are significantly improved by changing the curvilinear fiber laying paths.

关 键 词：复合材料层合板 曲线纤维铺放路径 拓扑优化 本构关系 

分 类 号：TB332[一般工业技术—材料科学与工程]