圆锥面等测地曲率曲线的轨迹规划方法  

Trajectory planning method for constant geodesic curvature curve of cone

作　　者：刘永佼 王显峰[1] 肖军[1] 

机构地区：[1]南京航空航天大学材料科学与技术学院,南京210016

出　　处：《航空学报》2017年第7期291-298,共8页Acta Aeronautica et Astronautica Sinica

基　　金："高档数控机床与基础制造装备"科技重大专项(2016ZX04002-001);江苏高校优势学科建设工程资助项目~~

摘　　要：为解决复合材料锥壳铺放过程中的纤维残余应变过大的问题,提出了等测地曲率曲线的轨迹规划方法。通过分析发现轨迹的测地曲率决定了纤维的残余应变,于是通过计算圆锥上任意曲线的测地曲率推导出了等测地曲率曲线的表达式,并证明在圆锥展开面上等测地曲率曲线是圆弧。最后,通过计算等测地曲率轨迹的残余应变及其与圆锥母线的夹角分析该轨迹铺放工艺性。结果表明:等测地曲率轨迹相较于固定角轨迹与测地线轨迹具有良好的可设计性和铺放工艺性。To solve the problem of excessive residual strain of fiber in conical shell laying process,a trajectory planning method with constant geodesic curvature is proposed.Analysis shows that the geometric curvature of the trajectory determines the residual strain of the fiber.The expression for the constant curvature curve is then derived by calculating the geometrical curvature of the arbitrary curve on the cone,and the constant geodesic curvature curve is proved to be a circular arc on the conical surface.The trajectory laying process is analyzed by calculating the residual strain of the constant geodesic curvature trajectory and its angle with the conical busbar.The results show that the constant geodesic curvature trajectory is better designability and laying processability than the fixed angle trajectory and the geodesic trajectory.

关 键 词：复合材料 自动铺丝 轨迹规划 等测地曲率 圆锥面 

分 类 号：V261[航空宇航科学与技术—航空宇航制造工程] TB332[一般工业技术—材料科学与工程]