Shape optimization of axisymmetric solids with the finite cell method using a fixed grid

作     者：Liang Meng Wei-Hong Zhang Ji-Hong Zhu Zhao Xu Shou-Hu Cai 

作者机构：Engineering Simulation and Aerospace Computing (ESAC)Northwestern Polytechnical University 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2016年第32卷第3期

页      面：510-524页

核心收录：

学科分类：082502[工学-航空宇航推进理论与工程] 08[工学] 0825[工学-航空宇航科学与技术] 

基　　金：supported by the National Natura Science Foundation of China (Grant 51275424) 973 Program (Gran2011CB610304) Research Fund for the Doctoral Program of Higher Education of China (Grant 20126102130003) the opening project (Grant KFJJ13-6M) of the State Key Laboratory of Explosion Science and Technology (Beijing Institute of Technology) 

主　　题：Finite cell method(FCM) Shape optimization B spline Sensitivity analysis Axisymmetric solids 

摘      要：In this work, a design procedure extending the B-spline based finite cell method into shape optimization is developed for axisymmetric solids involving the centrifugal force effect. We first replace the traditional conforming mesh in the finite element method with structured cells that are fixed during the whole design process with a view to avoid the sophisticated re-meshing and eventual mesh ***, B-spline shape functions are further implemented to yield a high-order continuity field along the cell boundary in stress analysis. By means of the implicit description of the shape boundary, stress sensitivity is analytically derived with respect to shape design variables. Finally, we illustrate the efficiency and accuracy of the proposed protocol by several numerical test cases as well as a whole design procedure carried out on an aeronautic turbine disk.