Stability and local bifurcation of parameter-excited vibration of pipes conveying pulsating fluid under thermal loading

摘要: The parametric excited vibration of a pipe under thermal loading may occur because the fluid is often transported heatedly. effects on stability and local bifurcations have rarely been studied. lateral resonance induced by pulsating velocity are A mathematical model for simply supported developed according to Hamilton principle. Two partial differential equations describing longitudinal obtained. singularity theory utilized analyze bifurcation system solutions. transition sets diagrams obtained both in unfolding parameter space physical space, which can reveal relationship between field dynamic behaviors pipe. frequency response critical rate numerical results demonstrate accuracy single-mode expansion solution analyses. It also confirms existence chaos. presented work provide valuable information design pipeline controllers prevent structural instability.