VIBRATION AND BUCKLING ANALYSIS OF CIRCULAR ARCHES USING DQM

The differential quadrature method (DQM) is applied to computation of the eigenvalues of the equations of motion governing the free in-plane vibration including extensibility of the arch axis and the coupled ou t-of-plane twist-bending vibrations of circular arches. In-plane buckl ing and twist-buckling under uniformly distributed radial loads are al so investigated by this method. Fundamental frequencies and critical l oads are calculated for circular arches with clamped and simply suppor ted boundary conditions. Results are compared with existing exact and numerical solutions by other methods. The method presented gives good accuracy with a limited number of grid points. Copyright (C) 1996 Else vier Science Ltd