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Form-finding of Tensegrity Systems by using Frequency Constraints

진동수 목적함수를 이용한 텐세그리티 시스템의 형상탐색기법

  • Lee, Seung Hye (Department of Architectural Engineering, Sejong University) ;
  • Lee, Jae Hong (Department of Architectural Engineering, Sejong University) ;
  • Kang, Joo Won (School of Architecture, Yeungnam University)
  • Received : 2016.04.20
  • Accepted : 2016.08.07
  • Published : 2016.10.27

Abstract

In this study, a form-finding method of tensegrity systems by using the force density method combined with the stiffness matrix method was presented. Numerous studies have been made on form-finding methods of the tensegrity systems. However, these methods are limited in the tensegrity systems with multiple null space of the equilibrium matrix. The proposed method can uniquely define a single integral feasible set of force densities for the structures. In order to draw maximum natural frequency that can lead a maximum stiffness of the tensegrity systems, a constrained maximization problem is formulated in the genetic algorithm. Several numerical examples are presented to prove dfficiency in searching for self-equilibrium congifurations of tensegrity systems with multiple self-stress states. A good performance of the proposed method has been shown in the results.

Keywords

Tensegrity system;Form-finding method;Stiffness matrix method;Force density method;Genetic algorithm

Acknowledgement

Supported by : 한국연구재단

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