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| Horizontal catenary configuration and tension calculation subjected to a vertical concentrated force as well as test verification |
| Received:November 10, 2017 Revised:May 02, 2018 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20171110002 |
| KeyWord:catenary horizontal tension balanced configuration nonlinear computation catenary test |
| Author | Institution |
| 宋晓东 |
湘潭大学 土木工程与力学学院, 湘潭 |
| 邓旭辉 |
湘潭大学 土木工程与力学学院, 湘潭 ;深海矿产资源开发利用技术国家重点实验室, 长沙 |
| 金星 |
深海矿产资源开发利用技术国家重点实验室, 长沙 |
| 郭小刚 |
湘潭大学 土木工程与力学学院, 湘潭 ;深海矿产资源开发利用技术国家重点实验室, 长沙 |
| 刘明龙 |
湘潭大学 土木工程与力学学院, 湘潭 |
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| Abstract: |
| The catenary theory has been widely used in the fields of wire and bridge suspension,ship towing and so on since it was put forward.At present,the study and application of catenary theory is mainly on working conditions under the action of vertical downward load and horizontal load while the research on the condition of vertical upward load is rare.This paper tries to simplify the catenary problems based on the supplementarity of geometry assumption.Firstly it starts from the condition of horizontal catenary under the uniform and vertical upward loading,and catenary nonlinear equations under the action of vertical and uniform loads were established.Secondly,the change rules among different catenary structures,the horizontal tension in the line with the variation of the horizontal distance,concentration force and the position of the catenary are determined by using half display method.Then the minimum value of the horizontal tension is found,and the necessary conditions on the symmetry of the catenary configuration are listed through the derivation of the nonlinear equations.In order to verify this theory,the paper uses ring chains of stainless steel to test static force configuration and its tension.The results showed that the horizontal binding force of both ends of catenary is smallest and its stress state is optimal on the condition that both vertical upward binding force is acts at the midpoint of catenary,and the catenary reaches a minimum when its magnitude is half of the uniform load,and its concentrated force point is at the same level as two ends of the catenary. |
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