This study aims to develop a form-finding algorithm for a single-layered pneumatic membrane. The initial shape of this pneumatic membrane, which is an air-supported type pneumatic membrane, is to find a state in which a given initial tension and internal pneumatic pressure are in equilibrium. The algorithm developed to satisfy these conditions is that a nonlinear optimization problem based on the force method considering the deformed shape is formulated, and, it’s able to find the shape by iteratively repeating the process of obtaining a solution of the governing equations. An computational technique based on the Gauss-Newton method was used as a method for obtaining solutions of nonlinear equations. In order to verify the validity of the proposed form-finding algorithm, a single-curvature pneumatic membrane example and a double-curvature air pneumatic membrane example were adopted, respectively. In the results of these examples, it was possible to well observe the step-by-step convergence process of the shape of the pneumatic membrane, and it was also possible to confirm the change in shape according to the air pressure. In addition, the calculation results of the shape and internal force after deformation due to initial tension, air pressure, and self-weight were obtained.

Abstract
1. 서론
2. 변형 형상을 고려한 내력법
3. 단일 공기막의 형상 탐색
    3.1 단일 곡률 공기막구조 예제
    3.2 이중 곡률 공기막구조 예제
4. 결론
References

• 이승재(한국기술교육대학교 건축공학과) | Lee Seungjae (Dept. of Architectural Eng., Koreatech University) 교신저자
• 하준홍(한국기술교육대학교 교양학부) | Ha Junhong (School of Liberal Arts, Koreatech University)
• 손수덕(한국기술교육대학교 건축공학과) | Shon Sudeok (Dept. of Architectural Eng., Koreatech University)