Physical Modeling and Configuration Simulation for Constrained Cables of Electromechanical Products

To solve the problem of low cable assembly efficiency for current electromechanical products, a digital modeling method is proposed based on nonlinear mechanics of a thin elastic rod. Considering the flexibility, cable configuration is embodied by translation and rotation of cross-section along the centerline. According to the minimum potential energy principle in Elasticity, Kirchhoff equations in the form of Euler angles are gained, which are used to describe spatial flexural configuration of deformable cables. For the specific boundary condition that cables are fixed at both ends, analytical integrals of Euler angles are achieved on the base of kinetic analogy. Furthermore, to deal with the difficulty of getting Cartesian coordinate integrals, a cylindrical system is introduced to describe spatial position of flexural cables on the base of Saint-Venant of Elasticity. Finally, a configuration simulation platform is developed and an experimental system using 3D laser scan technology is founded to do effective verification of the relevant model and algorithm.