Cable theory of computation and analytical form finding algorithm based on mass conservation
In order to solve the problem that the basic assumptions of the existing cable theory of computation are unreasonable,the refined cable theory of computation is derived based on the principle of mass conservation.Based on Lagrangian coordinates,an improved elastic catenary theory of computation considering the change of tensile stiffness after the cable section deformation is established.The results show that the refined cable theory of computation is equivalent to the improved piecewise catenary theory of computation.In the case of form finding of a cable with a span of 888 m under the dead weight,the difference in the cable force and elevation between the refined cable theory and the catenary theory is 61.7 kN and-156.5 mm respectively,and the corresponding difference with the elastic catenary theory is 1.6 kN and-0.2 mm respectively.In the case of form finding of a cable with a span of 1038 meters under external load,the difference in the cable force between the refined cable theory and the catenary theory of equations is 77.8 kN,and the difference in the unstressed length is made to be below 1.0 mm.The refined cable element theory of computation and cable form finding algorithm can be used as a complete refined theory of computation and method for the cable bearing structure system.
bridge engineeringcable theory of computationmain cable shape findingthe principle of conservation of masscable shape finding algorithm
万方数据
维普
