Flutter in One-Dimensional Collapsible Tubes
Flutter in One-Dimensional Collapsible Tubes
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一维伸缩管中的颤振
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
C. Walsh
中科院分区：
文献类型：
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作者：
C. Walsh
我们寻求改进的一维（1-D）模型或长波近似，用于输送无粘流的生理血管颤动；这些应用程序令人喘息。二维分析预测，具有耦合轴向位移和法向位移的壁对于长波颤振是不稳定的，而没有这种耦合的壁是稳定的；这种耦合对短波行为影响很小。定性正确的耦合近似必须考虑壁的轴向运动和法向运动的惯性。如果正确表示耦合、壁与流体质量比和刚度项，则管横截面几乎没有影响。长波颤振发生在简单的一维模型中。然而，在所有有限波长下都存在定性误差。这是因为忽略了壁法向惯性。进一步的分析表明，轴对称壳与一维流动相结合可能提供一个一维模型，该模型在所有波长上都定性正确，并且对于小至管周长二分之一的波长定量有用。
We seek improved one-dimensional (1-D) models, or long wave approximations, for flutter of physiological vessels conveying inviscid flow; the applications are to wheezing. Two-dimensional analyses predict that walls with coupled axial and normal displacements are unstable to long wave flutter, while walls without such coupling are stable; such coupling has little effect on the short wave behaviour. Qualitatively correct coupled approximations must account for inertia in both the axial and the normal motion of the wall. If the coupling, wall to fluid mass ratio, and stiffness terms are correctly represented, the tube cross-section has little effect. Long wave flutter occurs in simple 1-D models. However, there are qualitative errors at all finite wavelengths. This is because wall normal inertia is neglected. Further analysis suggests that an axisymmetric shell combined with a 1-D flow might provide a 1-D model that is qualitatively correct at all wavelengths and quantitatively useful for wavelengths as small as one-half the tube circumference.