
In this paper, an experimental-theoretical method is proposed to accurately determine the thermal diffusivity, characteristic time constant and layer thicknesses of a bimaterial cantilever using a transient, non-destructive and noncontact measurement. The technique is based on the wellknown optical beam deflection method. A time dependent, sinusoidal heat load is locally applied to induce a time varying thermal profile over the length of the beam, resulting in a mismatch-strain between the two layers that bends the cantilever. A measurement of the phase difference between the thermo-mechanical response and the input signal can be used to extract the thermal diffusivity, characteristic time constant and the location of the heat source. For this reason a closedform analytical solution for the thermo-mechanical response ispresented. The dynamic response of the system is characterized using the transfer function in the Laplace domain. The analytical solution includes a Gaussian distributed, time-dependent heat source of known width at a location along the beam. A constant convective heat transfer coefficient can be included to allow measurement in ambient conditions. A combination of a measurement of the thermal diffusivity and the effective conductance are used to calculate the mutual layer thicknesses of the two layers.
Industrial Innovation, Diffusivity, Bilayer cantilevers, Characterization
Industrial Innovation, Diffusivity, Bilayer cantilevers, Characterization
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