An efficient self-stress design of tensegrity shell structures
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An efficient self-stress design of tensegrity shell structures Kamal Mirzaaghazadeh . Karim Abedi . Behzad Shekastehband
Received: 6 July 2020 / Accepted: 8 October 2020 Ó Springer Nature B.V. 2020
Abstract Distribution and level of self-stress has a profound impact on the structural behavior of tensegrity systems. The problems associated with self-stress implementation preclude designing tensegrity structures for civil engineering application. To achieve the feasible self-stress state of a tensegrity shell structure, an efficient procedure based on solving an optimization problem in conjunction with multi constraint equations on group subdivisions is presented in the current study. Several tensegrity shell configurations are utilized to demonstrate the capability of the proposed procedure. The method provides superior performance compared with the other conventional methods of obtaining desired self-stress distributions. For a given shell configuration, group division is of paramount importance with respect to the regularity and uniformity of self-stress distributions. Keywords Self-stress design Tensegrity shell structures Group division Singular value decomposition Force density method
K. Mirzaaghazadeh K. Abedi Faculty of Civil Engineering, Sahand University of Technology, Tabriz, Iran B. Shekastehband (&) Faculty of Civil Engineering, Urmia University of Technology, Urmia, Iran e-mail: [email protected]
1 Introduction There is a growing interest to nonlinear metamaterials in the context of designing structures with adjustable properties and advanced performances that are not found in typical materials. Specific tendency is toward the class of nonlinear metamaterials with tensegrity concept in which, mechanical behavior can be effectively modified through acting on self-stress [1, 2]. Tensegrity systems are a special class of space structures, composed of any given set of cables connected to a set of struts in which the connectivity of cables must be able to stabilize the configuration [3]. To make distinction between various types of tensegrity systems, they are categorized as class 1 that has no contacts between their struts, and class k with as many as k struts in contact [3], giving the freedom in designing short struts and/or reducing strut number [4]. Increasing the depth of long-span tensegrity structures based on class 1 units may assist in providing adequate flexural stiffness and limiting service deflections at the expense of a dramatic increase of struts’ length. One viable approach to alleviate this problem and improve structural efficiency is to reduce effective length’s of struts by using class k tensegrity modules instead of class 1 tensegrity modules. Liew et al. [5] proposed the di-pyramid (DP) module as a class k tensegrity system by providing an effective restraint point at the intermediate length of the vertical strut (Fig. 1).
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Meccanica
Triangular DP
Square DP
Pentagonal DP
Hexangular DP
Fig. 1 The di-pyramid (
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