In this study, we investigated the dynamic stability of the system and the semi-analytical solution of the shallow arch. The governing equation for the primary symmetric mode of the arch under external load was derived and expressed simply by using parameters. The semi-analytical solution of the equation was obtained using the Taylor series and the stability of the system for the constant load was analyzed. As a result, we can classify equilibrium points by root of equilibrium equation, and classified stable, asymptotical stable and unstable resigns of equilibrium path. We observed stable points and attractors that appeared differently depending on the shape parameter h, and we can see the points where dynamic buckling occurs. Dynamic buckling of arches with initial condition did not occur in low shape parameter, and sensitive range of critical boundary was observed in low damping constants.

Abstract
 1. 서론
 2. 1차 대칭 모드 아치의 지배방정식
 3. 대칭 모델의 평형점
 4. 감쇠정수와 임계 경계
 5. 결론
 감사의 글
 References

• 비자야 P. 포크렐(한국기술교육대학교 건축공학과, 박사과정, Dept. of Architectural Eng., Korea University of Technology and Education) | Pokhrel, Bijaya P.
• 손수덕(한국기술교육대학교 건축공학과 연구교수, 공학박사, Dept. of Architectural Eng., Korea University of Technology and Education) | Shon, Sudeok 교신저자
• 하준홍(한국기술교육대학교 교양학부 교수, 이학박사, School of Liberal Arts, Korea University of Technology and Education) | Ha, Junhong
• 이승재(한국기술교육대학교 건축공학과 교수, 공학박사, Dept. of Architectural Eng., Korea University of Technology and Education) | Lee, Seungjae