ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Trajectory planning method for constant geodesic curvature curve of cone
Received date: 2016-11-01
Revised date: 2016-11-29
Online published: 2017-02-16
Supported by
Major National Science and Technology Special Projects (2016ZX04002-001);A Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions
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.
LIU Yongjiao , WANG Xianfeng , XIAO Jun . Trajectory planning method for constant geodesic curvature curve of cone[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017 , 38(7) : 420904 -420904 . DOI: 10.7527/S1000-6893.2016.420904
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