On the flexural vibrations of generalized thermo-elasto-diffusive thin cantilever beam. (English) Zbl 1365.74105
Summary: The flexural vibrations in a homogenous isotropic, thermoelastic-diffusive thin cantilever beam have been analyzed in closed form based on the Euler-Bernoulli theory. The analytical expressions for deflection, thermal moment, mass moment, frequency shift and thermoelastic-diffusive damping (inverse quality factor) have been obtained for clamped-free (cantilever) beam. It is found that the thermoelastic-diffusive damping and frequency shift of beam vibrations significantly depend on diffusive properties. The analytical results have been analyzed numerically with the help of MATLAB software. The values of effective flexural rigidity have also been computed and presented in tabular form. The numerical computed results have been presented graphically. This study may be useful in the design and construction of sensors, gyrometers, charge detectors, radio frequency filters, communicators and energy harvesters etc due to mass concentration change in the materials.
MSC:
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
| 74F05 | Thermal effects in solid mechanics |
Software:
MatlabReferences:
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