The purpose of this study is to investigate the applicability of multi-stage homotopy perturbation method to shallow arches in order to obtain a semi-analytical solution. For this research purpose, a nonlinear governing equation of the arches was formulated and a homotopy equation was derived using the formulated differential equation. The result of a dynamic analysis on a symmetric mode and an asymmetric one was compared with the classical homotopy perturbation method and the 4th order Runge-Kutta method.

• 손수덕(한국기술교육대학교 건축공학부 연구교수, 공학박사) | Shon, Su Deok 교신저자
• 최순재(한국기술교육대학교 대학원, 박사과정) | Choi, Soon Jae
• 이승재(한국기술교육대학교 건축공학부 교수, 공학박사) | Lee, Seung Jae
• 이돈우(한국기술교육대학교 대학원, 석사과정) | Lee, Don Woo