The nonlinear dynamical characteristics of the commonly supported piping system, in which its motion is restrained by linear and torque springs at both ends and under the excitation of fluid pulsating and harmonic base motion, were investigated to find out the forerunner of chaos. The expression of vertical vibration mode-functions of pipeline supported elastically at two ends was derived with the boundary condition of elastically supported beam. The equation of motion was discretized by Galerkin method, an...