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The images were taken at 0.3 mm plate amplitude rather than at higher amplitudes because of two reasons. Firstly, we tried to avoid the distortion of the forcing signals that sometimes develop at higher amplitudes in our experimental apparatus. Secondly, wetting hysteresis allows a larger deformation of the drop than the simulations. When we impose the condition of pinned contact line, we mean that the contact angle at the three phase contact line is pinned to a certain value. All the macroscopically observable changes are due to the dynamic deformation of the drop. In reality, however, the contact angle on each edge of the drop is bound by two extreme values with multiple metastable angles in between. We expect a larger deformation of the drop in a real system because the metastable angles on each side can switch between two extremes values. Nevertheless, the resonant vibration frequencies and the overall pattern exhibited by the vibrating drop are not affected by the amplitude of vib
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The images were taken at 0.3 mm plate amplitude rather than at higher amplitudes because of two reasons. Firstly, we tried to avoid the distortion of the forcing signals that sometimes develop at higher amplitudes in our experimental apparatus. Secondly, wetting hysteresis allows a larger deformation of the drop than the simulations. When we impose the condition of pinned contact line, we mean that the contact angle at the three phase contact line is pinned to a certain value. All the macroscopically observable changes are due to the dynamic deformation of the drop. In reality, however, the contact angle on each edge of the drop is bound by two extreme values with multiple metastable angles in between. We expect a larger deformation of the drop in a real system because the metastable angles on each side can switch between two extremes values. Nevertheless, the resonant vibration frequencies and the overall pattern exhibited by the vibrating drop are not affected by the amplitude of vibration in both simulations and experiments.
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We checked the linear response of the drop vibration in various ways. Particularly, we calculated the velocity gradient at a given frequency and the fixed position inside the drop and observed a linear correlation between the velocity gradient and vibration amplitude
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We checked the linear response of the drop vibration in various ways. Particularly, we calculated the velocity gradient at a given frequency and the fixed position inside the drop and observed a linear correlation between the velocity gradient and vibration amplitude.
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36
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32044432558
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Vibration-induced motion of objects in a gravitational field for solid-solid case, where symmetry is broken by solid friction has recently been studied by Buguin et al.: A. Buguin, F. Brochard, P.G. De Gennes, Eur. Phys. J. E 19, 31 (2006).
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Vibration-induced motion of objects in a gravitational field for solid-solid case, where symmetry is broken by solid friction has recently been studied by Buguin et al.: A. Buguin, F. Brochard, P.G. De Gennes, Eur. Phys. J. E 19, 31 (2006).
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0029344986
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Some elegant studies of the contact line oscillation in another system involving Faraday waves in a glass container were reported previously. See C.-L. Ting, M. Perlin, J. Fluid Mech. 295, 263 (1995);
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Some elegant studies of the contact line oscillation in another system involving Faraday waves in a glass container were reported previously. See C.-L. Ting, M. Perlin, J. Fluid Mech. 295, 263 (1995);
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38
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1842854021
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Jiang, M. Perlin, W.W. Schultz, Phys. Fluids 16, 748 2004, In the paper by Jiang et al, the authors report a non-linear relationship between wave frequency and amplitude near contact lines. We suspect that a similar non-linearity may also be present in our studies. However, we have not investigated this effect systematically this time
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Jiang, M. Perlin, W.W. Schultz, Phys. Fluids 16, 748 (2004). In the paper by Jiang et al., the authors report a non-linear relationship between wave frequency and amplitude near contact lines. We suspect that a similar non-linearity may also be present in our studies. However, we have not investigated this effect systematically this time.
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In either the downward or upward direction, the average force is 2/π times the maximum force. However, this force is divided by 2 as the drop moves forward half of the cycle and backward for the other half.
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In either the downward or upward direction, the average force is 2/π times the maximum force. However, this force is divided by 2 as the drop moves forward half of the cycle and backward for the other half.
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