Digital Design Of Flexible Cable Based On Variational Principle

As electromechanical products become more and more oriented towards the development of automation and mechatronics,cables are the medium of power signal transmission in electromechanical products,and their proportion is increasing.The quality of cable layout will directly affect the life and reliability of products.However,due to the mechanical properties of its complex large deformation,the optimal layout of the cable layout has always been a challenging subject.In the current development of electromechanical products,the layout of the cable is still largely relied on by physical prototype and manual experience,which not only leads to long production cycle and high cost.Aiming at this problem,this paper based on the idea of cable physical property modeling,carried out in-depth discussion and research on the related methods and technologies of cable digital wiring design in complex products,taking into account the requirements of efficiency and precision of digital design process,A novel human-machine interactive cable digital wiring design method aims to lay a technical foundation for the digital design of complex electromechanical products.The main research work of this paper is summarized as follows:(1)On the basis of summarizing the research progress of related theories such as mechanical modeling and flexible cable digital design method on one-dimensional flexible body at home and abroad,this paper analyzes the problems existing in the current flexible cable layout optimization design,and points out the research of this paper.Purpose and significance,and put forward the research framework of this paper.(2)Based on the theory of Cosserat elastic bar combined with the principle of potential energy in the variational idea,the static modeling method of flexible cable is studied.The Euler parameters are introduced and the flexible cable is considered to be complicatedly constrained(end,clamp,strap and column).The mathematical expression method of the surface,etc.)established a cable static model.Based on the idea of finite element discrete,the nonlinear optimization method is used to numerically solve the cable center position and cross-section attitude expression.(3)Considering the end,clamp,strap and cylinder constraints,the optimal mathematical model is established respectively.The original dual interior point method is used to solve the Euler parameters of the cable section,and the geometry of the cable is calculated.form.The bending and torsion deformation of the cable was analyzed by the curve of curvature and torsion rate,and the action mechanism of gravity,bending force and torsion force on the flexible cable was determined.(4)Based on the requirements of physical property modeling and real-time performance of virtual assembly system,under the condition of comprehensive consideration of accuracy and efficiency,the cable digital wiring design framework was built,and the cable length fast acquisition algorithm was proposed by parameter spline curve fitting method.The problem of inconsistent input and modeling input of the wiring design framework is solved.Based on the open source geometric kernel system OpenCascade,the cable digital wiring design simulation system is developed,and the comparison between the wiring result simulation and the commercial software wiring simulation is carried out.Cable layout simulation and experimental results show that the proposed digital cable design method based on mechanical modeling can effectively reduce the cable design length and solve the problem of long cable design length in commercial wiring software,which can shorten product development time.And improve the reliability of product design.