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OA

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.