Abstract

The natural flexural vibrations of a blood vessel with moving blood are investigated. The vessel is subjected to the action of tensile force and pressure in it. The forces of inertia of the blood vessel, as well as the Coriolis and centrifugal forces induced by the motion of blood, are taken into account. The wave numbers are determined, and the frequency equation is found using the boundary conditions. Two frequencies of flexural vibrations can determine the speed parameter, the relative mass of blood per unit length of the blood vessel, and, as a consequence, the mass-flow rate of blood through the blood vessel. The results obtained can be used for the acoustic method of determining the blood speed, the relative blood mass per unit length of the blood vessel, and the mass-flow rate of blood through it.

中文翻译：

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使用挠曲振动的自然频率确定血管中血液的质量流速

摘要

研究了具有移动血液的血管的自然弯曲振动。容器在其中受到拉力和压力的作用。考虑到血管的惯性力以及由血液运动引起的科里奥利力和离心力。确定波数，并使用边界条件找到频率方程。弯曲振动的两个频率可以确定速度参数，每单位血管长度的相对血液质量，并因此确定通过血管的血液质量流率。获得的结果可用于确定血流速度，每单位血管长度的相对血液质量以及流经其中的血液的质量流速的声学方法。