An algorithm for calculating the feasible pre-stress of cable-struts structure. (1st July 2016)

• Record Type: Journal Article
• Authors: Guo, Jiamin; Jiang, Jiqing
• Is Part Of: Engineering structures. Volume 118(2016:Jul. 01)
• Page Start: 228
• Page End: 239
• Publication Date: 2016-07-01
• Subjects: Cable-struts structure -- Feasible pre-stress -- Newton iteration method -- Updating geometry -- Pre-stress design; Structural engineering -- Periodicals; Structural analysis (Engineering) -- Periodicals; Construction, Technique de la -- Périodiques; Génie parasismique -- Périodiques; Pression du vent -- Périodiques; Earthquake engineering; Structural engineering; Wind-pressure; Periodicals; 624.105
• DOI: 10.1016/j.engstruct.2016.03.058
• Languages: English
• ISSNs: 0141-0296

Abstract

Highlights: An algorithm to find the feasible pre-stress is proposed. Three types of cable-struts structures are selected to demonstrate the algorithm. The algorithm can update the geometry for the feasible pre-stress. The algorithm can consider loads during the design of the pre-stress. The feasible pre-stress of the cable-struts structure is obtained directly. Abstract: A cable-struts structure consists of tension-only cables and compression-only struts. The structural rigidity comes from the pre-stress. To determine the feasible pre-stress for the cable-struts structure efficiently and accurately, the paper first defines the three states for the cable-struts structure based on the loads applied, develops the fuzzy relationship between the internal force and the pre-stress under different states, and studies various essential conditions for the feasible pre-stress. Second, the paper gives a Newton iteration method to update the pre-stress and a simple method for updating the geometry based on the geometrical difference under different states and subsequently develops a process to find the feasible pre-stress, combining the pre-stress updating method with the geometry updating method. Last, the paper selects three types of cable-struts structures as illustrative examples, a traditional Geiger dome, a new form of Geiger dome and a Kiewitt dome with multiple self-stress modes, and successively calculates their feasible pre-stress using the proposed method. The results indicate that the proposed method is able to search for the feasible pre-stress for cable-struts structures efficiently and accurately; it can calculate not only the pre-stress without loads but also the pre-stress considering loads, and it can change the geometry for the feasible pre-stress. Meanwhile, the method is successful in obtaining the feasible pre-stress for the Kiewitt dome with multiple self-stress modes without the optimal process.