Research On Multi-branch Cable Geometry And Physical Property Modeling

In the electrical systems of vessels, automobile manufacturing, aviation, energy equipment and so on, cables play an important role in transmission electrical and signal, affect the mechanical and electrical system's reliability and security in the assembly planning applications directly. But the assembly planning system does not meet the demands of assembly application when designing the pipelines and flexible cables. The reasons are that lacking of cable geometry and physical modeling, such as that lack of studying in branch cables area, it can't simulate the mechanical analysis when the cable in the balanced state, in short of motion analysis when the cable in dynamic state. Therefore, this paper will be focus on how to simulate multi-branch cables model, static modeling and dynamic analysis of cables. The main researches are summarized as follows.1. Geometric Modeling of smooth multi-branch cables. Describe the geometry of the cable as the cross section of a tubular. Choose a B-spline curve as the center curve of the cable, build local coordinate frames in the center of the cable, transport circular section information of local coordinate to the world coordinate by rotation matrix. In order to build geometry model of the multi-branch cable, connecting different single cable smoothly by key points, it should remain the first derivative of the single cable on the key points to simulate smooth multi-branch cable. The simulation experiments verify the model which can represent the pose form in space effectively.2. Simulating static model of cables based on differential geometry and DCT. Establish local coordinate frames in the center line, use Euler angles express the center line under ideal conditions. Calculating the potential energy of bending and twist by curvature and torsion. The DTC has the advantage of energy concentration and construct Euler angle functions by DCT, optimize the potential energy and build the static model. Compared DCT with other computations, this model reduces computational consumptions, cut down the sensitivity of the initial values, possesses high efficiency and stability.3. Dynamic Modeling of cables based on Cosserat theory. Discretize the centerline of the cable, express control points and segments directions. Derivate the potential energy and kinetic energy when the cable in motion, consider the dissipation energy, establish Lagrange dynamic equilibrium equation. Compared with other continuity kinetic models, Cosserat theory simplifies the model and shortens the calculating time.