可折叠管的横截面形状。
Cross-sectional shape of collapsible tubes.
作者信息
Kresch E, Noordergraaf A
出版信息
Biophys J. 1972 Mar;12(3):274-94. doi: 10.1016/S0006-3495(72)86086-7.
In order to quantify the collapse phenomenon in veins, this paper presents a mathematical analysis of the cross-sectional shape of a flexible tube as its internal pressure varies. Quantitative results are presented in terms of the physical parameters of the tube, such as wall thickness and Young's modulus. It is assumed that the tube is thin walled, that no stretching occurs, that the cross-sectional shape is elliptical when the transmural pressure is zero, and that the longitudinal prestress is zero. The equations were solved on a digital computer which displayed the cross-sectional shapes on an oscilloscope, which were then photographed. A selection of these photographs is presented. Curves are shown which give the cross-sectional area and compliance as functions of transmural pressure. Other curves are shown which are useful for interpolation, and for use in the experimental determination of the physical parameters which may otherwise be difficult or impossible to measure accurately.
为了量化静脉中的塌陷现象，本文对柔性管在内部压力变化时的横截面形状进行了数学分析。定量结果以管子的物理参数（如壁厚和杨氏模量）表示。假设管子是薄壁的，不发生拉伸，跨壁压力为零时横截面形状为椭圆形，纵向预应力为零。这些方程在数字计算机上求解，计算机在示波器上显示横截面形状，然后拍照。这里展示了部分这些照片。给出了作为跨壁压力函数的横截面面积和顺应性的曲线。还展示了其他有助于插值以及用于实验确定物理参数的曲线，否则这些物理参数可能难以或无法准确测量。
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