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Paper Information

Journal:   MODARES MECHANICAL ENGINEERING   JULY 2017 , Volume 17 , Number 4 ; Page(s) 255 To 266.
 
Paper: 

TOPOLOGY, SHAPE AND SIZE OPTIMIZATION OF 3-D TENSEGRITY STRUCTURES WITH SPECIFIED NUMBER OF MEMBERS UNDER EXTERNAL LOADS

 
 
Author(s):  GHEISARIEH NASTARAN, ATAI ALI ASGHAR*, SHARIATPANAHI MASOUD
 
* SCHOOL OF MECHANICAL ENGINEERING, COLLEGE OF ENGINEERING, UNIVERSITY OF TEHRAN, IRAN
 
Abstract: 

“Tensegrity” refers to a class of discrete structures with two-force members (bars and cables) wherein cables only take tensile loads and bars only take compressive loads. The pre-stressed members are interconnected so as to form a self-equilibrium structure. Compared to a truss, supporting the same external loading, a tensegrity structure has fewer members and could weigh less. Determining the stable topology (member connectivities), shape (node coordinates) and size (cross-sectional areas of members) of a tensegrity structure for weight minimization is a challenging task, as the governing equations are nonlinear and the conventional matrix analysis methods cannot be used. This article addresses the weight minimization of a class one tensegrity structure with a given number of bars and cables, anchored at certain nodes and supporting given load (s) at certain node (s). In this paper, a novel procedure is proposed to optimize topology, shape and size of tensegrity structures simultaneously based on evolutionary methods. Member connectivities and their cross-sectional areas and force densities are taken as design variables, whereas the members’ strength and buckling requirements and maximum nodal displacements constitute the constraints, along with the coordinates of the floating nodes to make the structure symmetric. Constraints are evaluated through the nonlinear shape design of the self-equilibrium structure and the linear analysis of the loaded structure, assuming small displacements. Using a novel approach, optimization is simultaneously performed in multiple promising areas of the solution space, resulting in multiple, optimum solutions. The diversity of the solutions is demonstrated by applying the proposed approach to a number of structural design problems.

 
Keyword(s): TENSEGRITY STRUCTURES, FORCE DENSITY METHOD, FORM-FINDING, OPTIMIZATION
 
 
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+ Click to Cite.
APA: Copy

GHEISARIEH, N., & ATAI, A., & SHARIATPANAHI, M. (2017). TOPOLOGY, SHAPE AND SIZE OPTIMIZATION OF 3-D TENSEGRITY STRUCTURES WITH SPECIFIED NUMBER OF MEMBERS UNDER EXTERNAL LOADS. MODARES MECHANICAL ENGINEERING, 17(4 ), 255-266. https://www.sid.ir/en/journal/ViewPaper.aspx?id=572747



Vancouver: Copy

GHEISARIEH NASTARAN, ATAI ALI ASGHAR, SHARIATPANAHI MASOUD. TOPOLOGY, SHAPE AND SIZE OPTIMIZATION OF 3-D TENSEGRITY STRUCTURES WITH SPECIFIED NUMBER OF MEMBERS UNDER EXTERNAL LOADS. MODARES MECHANICAL ENGINEERING. 2017 [cited 2021July27];17(4 ):255-266. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=572747



IEEE: Copy

GHEISARIEH, N., ATAI, A., SHARIATPANAHI, M., 2017. TOPOLOGY, SHAPE AND SIZE OPTIMIZATION OF 3-D TENSEGRITY STRUCTURES WITH SPECIFIED NUMBER OF MEMBERS UNDER EXTERNAL LOADS. MODARES MECHANICAL ENGINEERING, [online] 17(4 ), pp.255-266. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=572747.



 
 
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