有限長油圧用高圧ゴムホース内流体中の波動伝ぱ特性 : 第1報,異方・粘弾性ホース壁およびホース継手における境界条件を考慮した数学モデル

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With the increasing use of high-pressure flexible hose in hydraulic equipment, the accurate knowledge of its dynamic response is required over a wide frequency range. We derive an analytical model for the wave propagation characteristics in a flexible hose with finite length by considering the coupled vibration of the hose wall and fluid in the hose, as well as the effect of the possible longitudinal resonance of the hose wall, where the hose wall is assumed to be linear, compressible and anisotropic viscoelastic with respect to the longitudinal and circumferential directions, while the fluid is assumed to be compressible and viscous and its motion to be laminar and axisymmetric. The membrane shell theory neglecting the radial inertial force is applied to the motion of the hose wall while taking into consideration the fluid pressure, and the Navier-Stokes equations and continuity equation which are simplified for an incompressible fluid are applied to the motion of the fluid after the fluid compressibility is equivalently converted into the compliance of the hose wall. A model is obtained in a transfer matrix representation which relates the pressure and flow ripples at two crosssections of a straight hose with fixed end support under constant fluid temperature and average pressure. In addition, the existing models for flexible, elastic and rigid lines may be considered as special cases of the model developed here.
1996-06-25