Configuration Modeling and Experimental Verification with 3D Laser Scanning Technology for a Constrained Elastica Cable
Hongwang Du, Wei Xiong, Haitao Wang, Bin Yuan, Zuwen Wang · International Journal of Signal Processing Image Processing and Pattern Recognition · 2014
For large complex electromechanical products, cable digital design has a problem of low accuracy because of its large deformable characteristics.To solve the problem, an efficacious method is proposed to do cable geometry physical modeling, simulation and test for two-end constrained spatial flexible cables.Euler angles are used as generalized parametric variables to describe cable configuration on the base of Kirchhoff elastic rod theory.Via establishment of a cylindrical coordinate system according to Saint-Venant principle using end constraint, Euler angles' Analytical solutions of the Kirchhoff equations are gained.Based on an open source geometry kernel system and using numerical integration ideas, a cable configuration simulation platform is developed in C++ environments.Then, a cable geometry measurement bench is founded with the use of 3D laser scan technology.Finally, a cable configuration simulation and experimental example is given to verify the accuracy of the proposed model and relative algorithm, through 3D positional deviation analysis.