The Theoretical Analysis Of Continuous Curve Cables And Second Development

As a kind of efficient flexible tension member,the cable plays an important role in the structure of bridge,suspend dome and temerity.However,in the calculation theory of cable,the slid problem of continuous curve cables is unavoidable.It's widely used in transmission lines erection,cable bridge construction,and transportation cableways.In this paper,a continuous curve cables sliding algorithm was proposed which can be implemented in general finite element software by reference and summary of research on continuous curve cable's sliding at home and abroad,and used to guide engineering practice.Based on two kinds of curve cable theory of parabola and catenary,derive the analytic solution of cable's force,length and sag by mathematical method.Starting from the common cable element,theoretical analysis is carried out on two-node line element based on the basic principle of finite element.Use virtual work principle to derive the expression of stiffness matrix and mass matrix of the continuous linear cable element.A finite element calculation program for linear cables was redacted using FORTRAN language,and write this element to ANSYS through the second development function of UPFS.In this paper,combination two-node cable element with three-node continuous linear cable element,simulate the curve line of continuous cables by shape finding calculation,and adding a linear cable at the support to satisfy the continuous condition.Layouts the three-node continuous linear cable element through slid direction and slid volume,and compile the algorithm flow chart.Then,test the feasibility of this method by examples.The comparison of the results with some analytical values and other literatures indicates that this present method has high accuracy,wide range of application,and is not limited by span and sag.At the same time,in solving the slid problem,no complicated iterative procedure is required,and the calculation speed is fast.In addition,the new element can be connected with other beam or cable elements in finite element software.