应用数学和力学2026，Vol.47Issue(5)：560-576,17.DOI:10.21656/1000-0887.460011
基于简化一阶剪切变形理论的功能梯度扩展等几何材料分布优化
Functionally Graded Extended Isogeometric Material Distribution Optimization Based on the Simple First-Order Shear Deformation Theory
摘要
Abstract
In practical engineering applications,solving the mass optimization problem can not only effectively reduce the cost,but also significantly improve the structural properties.To address this mass optimization prob-lem of functional graded material plates with holes,a solution model was proposed based on the simple first-or-der shear deformation theory(S-FSDT)and the extended isogeometric analysis(XIGA)to solve the mass mini-mization problem with the first natural frequency and the buckling critical parameter as the constraints.In the optimization procedure,an improved artificial rabbits optimization(IARO)algorithm incorporating the Lévy flight strategies was employed,which substantially enhances the algorithm's global exploration capability and enables effective escape from local optima.In the optimization design,the B-spline function was used to re-place the traditional functionally gradient material distribution function,and the control points of the material distribution were used as design variables.The IARO algorithm demonstrates superior optimization performance through comprehensive benchmark testing through the CEC 2019 test functions,and the results of the arithme-tic examples show the validity and feasibility of the proposed model,which can be further explored in the fu-ture for the application of the model in more complex engineering structures to achieve a more comprehensive structural optimization design.关键词
简化一阶剪切变形理论/扩展等几何/开孔功能梯度板/人工兔子优化算法Key words
simple first-order shear deformation theory/extended isogeometric analysis/functionally grade plate with holes/artificial rabbit optimization algorithm分类
数理科学引用本文复制引用
戴钊,初晨旭,茆雪明,汪超..基于简化一阶剪切变形理论的功能梯度扩展等几何材料分布优化[J].应用数学和力学,2026,47(5):560-576,17.基金项目
安徽省住房城乡建设科学计划项目(2023-YF062) （2023-YF062）
国家自然科学基金(52408141) （52408141）
安徽高校协同创新项目(GXXT-2022-082) （GXXT-2022-082）
