Title of article :
Adaptive form‑finding method for form‑fixed spatial network structures
Author/Authors :
Lan Cheng نويسنده Bolina Ingegneria S.r.l, Via del Gazzato 20, Venice 30174, Italy , Tu Xi نويسنده College of Civil Engineering, Chongqing University, No. 174 Shazhengjie, Shapingba, Chongqing 400030, China , Xue Junqing نويسنده College of Civil Engineering, Fuzhou University, No. 2 Xueyuan Road, University Town, Fuzhou, Fujian 350116, China , Briseghella Bruno نويسنده College of Civil Engineering, Fuzhou University, No. 2 Xueyuan Road, University Town, Fuzhou, Fujian 350116, China , Zordan Tobia نويسنده Bolina Ingegneria S.r.l, Via del Gazzato 20, Venice 30174, Italy
Pages :
11
From page :
1
To page :
11
Abstract :
An effective form-finding method for form-fixed spatial network structures is presented in this paper. The adaptive formfinding method is introduced along with the example of designing an ellipsoidal network dome with bar length variations being as small as possible. A typical spherical geodesic network is selected as an initial state, having bar lengths in a limit group number. Next, this network is transformed into the ellipsoidal shape as desired by applying compressions on bars according to the bar length variations caused by transformation. Afterwards, the dynamic relaxation method is employed to explicitly integrate the node positions by applying residual forces. During the form-finding process, the boundary condition of constraining nodes on the ellipsoid surface is innovatively considered as reactions on the normal direction of the surface at node positions, which are balanced with the components of the nodal forces in a reverse direction induced by compressions on bars. The node positions are also corrected according to the fixed-form condition in each explicit iteration step. In the serial results of time history, the optimal solution is found from a time history of states by properly choosing convergence criteria, and the presented form-finding procedure is proved to be applicable for form-fxed problems.
Journal title :
Astroparticle Physics
Serial Year :
2018
Record number :
2412384
Link To Document :
بازگشت