얕은 아치의 안정과 임계 파라메타
At this paper two types of initial shapes and loads are introduced, and we assume that the initial shapes and loads are defined by sinusoidal functions. Under this assumption the asymptotical stability of the solutions is established by investigating the eigenvalues of the characteristic polynomial of the system. The exact solution is obtained when the initial shape and the load are given by a linear combination of sinusoidal functions. The asymptotic stability of the arch is completely analysed.