A model reduction approach for the vibration analysis of hydraulic pipeline system in aircraft

This paper presents a developed model reduction approach for the vibration analysis of hydraulic pipeline with long distance and multi-supports with elasticity popularly used in aircraft. Based on the Euler–Bernoulli beam theory, the motion equations of the pipeline conveying fluid are established via the finite element method. An efficient solution procedure for the model reduction of pipeline is developed based on component mode synthesis, in which the artificial springs are imported to simulate the arbitrary boundary conditions. A pipeline with four elastic supports in wings is investigated as a numerical example to validate the present approach. The influence of the mode truncation numbers, stiffness of elastic supports and fluid velocity on natural frequencies are all discussed. The obtained results indicate that the current approach can reduce the computational cost significantly with sufficient accuracy, which may serve as an efficient guidance for the design of hydraulic pipeline in aircraft.