Nonlinear dynamic characteristic analysis of pre-stressed hydraulic composite pipe subjected to random vibration

This paper studies the nonlinear dynamic characteristics of pre-stressed hydraulic composite pipe subjected to random vibration. The steel wire-wound pre-stressed hydraulic composite pipe is modeled as a vibration nonlinear system by adopting the Hamiltonian principle. Its dynamic motion equation, considering geometric nonlinearity and random vibration of foundation, is solved by the Time Domain Explicit Iterative Algorithm (TDEIA) which is proposed upon Newmark-β Integral Scheme. The impacts of the pre-stress and other main parameters on the mean peak response of the pipe are also analyzed. The validity of this method is verified by the nonlinear Newmark-β method. The obtained results show that the pre-tensile stress of the steel wire can hinder the pipe vibration. Moreover, the average response of displacement and velocity at the middle point of the pipe and the average response of stress at its support are the peak values. And the method provides a theoretical basis for the design and selection of pre-stressed hydraulic composite pipes subjected to random vibration.