본 논문은 고유치문제로 정식화된 텐세그러티 구조물의 형상탐색에 대하여 제시하고자 한다. 텐세그러티 구조물의 안정을 위해서는 형상탐색을 수행하여야한다. 형상탐색을 위한 해석 방법은 내력밀도법과 일반역행렬을 이용한 방법, 이 두 가지가 널리 알려져 있다. 본 연구는 새롭게 형상을 탐색하는 방법을 제시하여 텐세그러티 구조물의 자기평형 응력을 얻었다. 제시한 방법은 기존의 방법을 기본으로 한 모든 절점의 평형 방정식을 고유치 문제로 정식화하였다. 이를 증명하기 위해 몇 가지 예제(텐세그러티 구조물)를 기존의 방법과 비교 하였다. 본 연구에서 제시된 방법은 기존의 방법과 같은 결과가 나왔으며, 나아가 해답을 얻는 과정이 훨씬 간단하였다.

The Space structures may have large freedom in scale and form. And especially Hybrid structures are received much attention from the view points of their light weight and aesthetics. Hybrid systems are stable structures which are reticulated spatial structures composed of compressive straight members, struts and cables and Membranes. In this paper, The Hybrid Unit System are suggested using the Membrane and Cable elements based on the Tensegrity Unit system. Also, The Hybrid System of double-layered single curvature is presented. We analyze the force density method allowing form-finding for Tensegrity systems. And We analyze the shape analysis by the LARSH which is the program for nonlinear analysis.

Tensegrity systems are stable structures which are reticulated spatial structures composed of compressive straight members, struts and cables. But there are some difficulties concerning surface stability, surface formation and construction method. One of the ways to solve this problem reasonably is combination of tesile members and rigid members. This structure is a type of flexible strutural system which is unstable initially because the cable material has little initial rigidity. Therefore tensegrity structure need to be introduced to the Initial stress for the self-equilibrated system having stable state. The rigidification of tensegrity systems is related to selfstress states which can be achieved only when geometrical and mechanical requirements are simultaneously satisfied. In this paper, for the stabilization of tesnsegrity structure it is proposed the modified self-equilibrated equation and the range of the various geometrical parameter about unit system. And we generate the model of double layed single curvature arch using the new squew quadruplex unit system.