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Temperature and frequency dependence of anelasticity in a nickel oscillator



Robert F. Berg


The frequency dependence of the real and imaginary parts of a nickel oscillator’s transfer function is described over 3 decades in frequency by the use of simple expressions. These expressions incorporate only the resonance frequency omega0, the quality factor Q, and a characteristic exponent beta determined by a single measurement of creep. They are based on the ansatz phi(omega) = (1/Q)*(omega/omega0)^-beta, where phi is the imaginary part of the spring constant. Over a 100 K range of temperature T, the exponent beta  0.18 was constant even though Q(T) changed by a factor of 8. These expressions are potentially useful for accurately describing a mechanical oscillator whose transfer function must be modeled at frequencies far below omega0. Examples include accelerometers based on a flexure element and suspensions for interferometric gravitational wave detectors.
Review of Scientific Instruments


Berg, R. (1995), Temperature and frequency dependence of anelasticity in a nickel oscillator, Review of Scientific Instruments, [online], (Accessed June 20, 2024)


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Created September 1, 1995, Updated February 17, 2017