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Vibrating wires are common temperature probes in $^3$He experiments. Bymeasuring mechanical resonance of a wire driven by AC current in magnetic fieldone can directly obtain temperature-dependent viscous damping. This is easy todo in a linear regime where wire velocity is small enough and damping force isproportional to velocity. At lowest temperatures in superfluid $^3$He-B astrong non-linear damping appears and linear regime shrinks to a very smallvelocity range. Expanding measurements to the non-linear area can significantlyimprove sensitivity. In this note I describe some technical details useful foranalyzing such temperature measurements.

Using vibrating wire in non-linear regime as a thermometer in superfluid $^3$He-B