Analysis And Research Of An Object Sliding Along The Cable And Construction Simulation Of The Structure Node Sliding

A new method was proposed to analyze the internal force of the cable in the process of an object sliding along it without friction with regard to cable sliping. An equation set of coupled motion was established on the basis of Newton’s second law. Then, solve numerically through programming using Runge-Kutta method, and the results were fitted through the Matlab software in order to obtain the formulas of motion. With the combination of the fitted formulas and equations of motion, the internal force of the cable, as the object sliding along, was determined.The revise modified original length method is developed from the old modified original length method that has existed, based on Euler formula applying on cable pully sliping friction. To change the original length of cable segment can simulate a cable sliding friction across the node for two phases. The examples show that the revise modified original length method are correct and feasible. And the new method is applyed to tension the cable of a truss string structure.The principles and methods of prestress are presented, combined with method of the initial prestressed cable dome structure determining and the unique advantages of cable dome with two loops in each layer. The revise modified original length method is used to analyse tension process friction of the whole construction process of cable dome with two loops in each layer. To list the tension of each cable on each phase and present the whole construction process reveal the revise modified original length method correct, the structure of cable dome with two loops in each layer novelty and the construction of cable dome with two loops in each layer unique and convenient again.