Dynamic Instability of Arch Structures Considering Geometric Nonlinearity by Sinusoidal Harmonic Excitation

기하학적 비선형을 고려한 아치 구조물의 정현형 조화하중에 의한 동적 불안정 현상에 관한 연구

We investigate the fundamental mechanisms of the dynamic instability when the sinusoidal shaped arch structures subjected to sinusoidal harmonic excitation with pin-ends. In nonlinear dynamics, examining the characteristics of attractor on the phase plane and investigating the dynamic buckling process are very important thing for understanding why unstable phenomena are sensitively originated by various initial conditions. In this study, the direct and the indirect snap-buckling of shallow arches considering geometrical nonlinearity are investigated numerically and compared with the step excitation critical load.