The linear natural frequencies and nonlinear dynamic characteristics of a fluidconveying pipe under commonly supported conditions on Pasternak-type two-parameter elastic foundation were investigated. Synthetically considering viscoelastic coefficient of pipe, and influences of shear effect and linear stiffness of foundation, the differential equations of motion of the piping system were established. The natural frequency equation of the linear piping system was derived with the commonly supported boundary condition. The effects of flow velocity on the nonlinear dynamic behavior of the system under foundation excitation and pulsating flow were analyzed. Numerical results showed that the first critical flow velocity of the pipe system has the trend of increasing firstly and then decreasing with increase in elastic coefficient; when elastic coefficient is large enough, the modal-coupling phenomena of the first mode and the second one of the pipe system occur with increase in flow velocity; the system response has the feature of transition from period-doubling bifurcation into chaotic motion with increase in of flow rate; the system response keeps the chaotic motion state under the condition of enough large flow velocity.
包日东，李珊珊. 分析弹性地基一般支承输流管道的动力学特性[J]. 振动与冲击, 2017, 36(1): 201-206.
BAO Ridong, LI Shanshan. Dynamic characteristics of commonly supported fluid conveying pipes on elastic foundation. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(1): 201-206.
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