Abstract: We use a development of Liapunov’s second method to study the local and global stability of the equilibrium positions adopted by a pipe conveying fluid. The pipe is simply supported at both ...

Abstract: In two earlier papers, the motion of a structure induced by vortex shedding was investigated for the cases of resonance and order three subharmonic resonance. In both cases classes of unbounded ...

Abstract: We discuss the qualitative behavior of a pair of nonlinear differential equations arising in the study of a wind loading problem when turbulence terms are ignored. We obtain quantitative estimates ...

Abstract: We consider the simple harmonic oscillator with harmonic excitation and a constraint that restricts motions to one side of the equilibrium position. Thus, on the achievement of a specified ...