摘要
孔形优化设计是减缓开孔结构孔边应力集中的有效手段,其对应力分析精度和孔边曲线的几何表达能力都有着较高的要求.论文针对现有固定网格孔形优化方法分析精度较低和/或孔边曲线变形能力有限等不足,采用有限胞元方法在固定网格下对开孔结构进行高精度的力学性能分析,采用能够自由光滑变形的隐式曲线描述待优化的孔洞边界,进而建立优化模型并推导出相应的解析灵敏度计算公式,形成了固定网格下开孔结构孔形优化设计新框架.通过对不同载荷边界条件下的开孔平板结构进行孔形优化设计,表明本方法无需网格更新、灵敏度推导简便、力学分析精度高且优化设计空间大,能够有效降低孔边应力集中程度.
Shape optimization of holes in opening structures can effectively alleviate the hole-edge stress concentration,which has high requirements for stress analysis precision and the geometrical expression ability of hole-edge curves.However,the existing fixed-grid shape optimization approaches cannot meet the above two requirements very well.In view of this,the finite cell method is adopted in this work for high-precision numerical analysis within fixed meshes,and the smoothly deformable implicit curve is used to describe the boundary to be optimized.After the establishment of optimization model and the derivation of analytical sensitivity formulas,the shape optimization framework for the holes in structures is finally built with high precision and high efficiency.Through the optimization of structures with holes under different load boundary conditions,it is shown that the proposed method,with no need for mesh updating,has the advantages of simple sensitivity derivation,high analytical precision and large design space.
作者
王红鲁
蔡守宇
徐文涛
马会中
Honglu Wang;Shouyu Cai;Wentao Xu;Huizhong Ma(School of Mechanics and Engineering Science,Zhengzhou University,Zhen gzhou,450001)
出处
《固体力学学报》
CAS
CSCD
北大核心
2018年第5期472-481,共10页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金项目(11702254)
中国博士后科学基金项目(2016M592306)
河南省高等学校重点科研项目(17A130001)资助
关键词
形状优化
开孔结构
固定网格
隐式曲线
shape optimization
opening structure
fixed grid
implicit curve
