Abstract

In order to understand the unusually high Q nature of the double paddle oscillator employed in a number of recent experiments, laser Doppler vibrometry (LDV) measurements of the normal modes of the oscillator were carried out. The observed resonance frequencies and mode shapes are in excellent agreement with three-dimensional finite element simulations. The second antisymmetric torsional mode was found to have exceptionally good vibration isolation because of its mode shape. This explains its extremely small low temperature (T<10 K) internal friction (2×10−8). A design criterion is established to minimize the damping of similar oscillators by correlating features of the measured and predicted mode shapes.

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