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| Cable theory of computation and analytical form finding algorithm based on mass conservation |
| Received:April 20, 2023 Revised:April 18, 2024 |
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| DOI：10.7511/jslx20230420001 |
| KeyWord:bridge engineering cable theory of computation main cable shape finding the principle of conservation of mass cable shape finding algorithm |
| Author | Institution |
| 朱伟华 |
湖南城市学院 土木工程学院, 益阳 ;长沙理工大学 土木工程学院, 长沙 |
| 颜东煌 |
长沙理工大学 土木工程学院, 长沙 |
| 许红胜 |
长沙理工大学 土木工程学院, 长沙 |
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| Abstract: |
| 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. |
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