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The exact solution of Stokes' second problem including start-up process with fractional element
摘    要:The start-up process of Stokes' second problem of a viscoelastic material with fractional element is studied. The fluid above an infinite flat plane is set in motion by a sudden acceleration of the plate to steady oscillation. Exact solutions are obtained by using Laplace transform and Fourier transform. It is found that the relationship between the first peak value and the one of equal-amplitude oscillations depends on the distance from the plate. The amplitude decreases for increasing frequency and increasing distance.

关 键 词:分数阶  单元过程  解包  拉普拉斯变换  振荡运动  粘弹性材料  傅里叶变换  距离
收稿时间:11 January 2007
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