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Suspension Footbridge Form-Finding with Laplacian Smoothing Algorithm
International Journal of Steel Structures ( IF 1.1 ) Pub Date : 2020-09-18 , DOI: 10.1007/s13296-020-00396-4 Zhuo-ju Huang , Jie-min Ding , Sheng-yi Xiang
更新日期:2020-09-20
International Journal of Steel Structures ( IF 1.1 ) Pub Date : 2020-09-18 , DOI: 10.1007/s13296-020-00396-4 Zhuo-ju Huang , Jie-min Ding , Sheng-yi Xiang
In this paper, Laplacian smoothing, which is an algorithm originally used to smooth polygon meshes in computer graphics (CG), is applied to solve a structural form-finding problem with the proof that the result of such algorithm is equivalent to force density method. Such CG algorithm is used on the design of a new-built suspension footbridge in Shaoxing, China and the algorithm works well. Since Laplacian smoothing is a pure geometric algorithm without any mechanical concept, the algorithm shows the inner relationship between force and shape, more structural applicable CG algorithms are expected to be found in the future.