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Modelling of Piezothermoelastic Beam with Fractional Order Derivative

Rajneesh Kumar, Poonam Sharma
2016 Curved and Layered Structures  

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AbstractThis paper deals with the study of transverse vibrations in piezothermoelastic beam resonators with fractional order derivative. The fractional order theory of thermoelasticity developed by Sherief et al. [1] has been used to study the problem. The expressions for frequency shift and damping factor are derived for a thermo micro-electromechanical (MEM) and thermo nano-electromechanical (NEM) beam resonators clamped on one side and free on another. The effect of fractional order
more » ... e on the derived expressions is observed analytically and shown graphically in the case of Lead Zirconate Titanate (PZT)-5A material. For α = 1, our results agree with those that are obtained by Grover and Sharma [20] and other particular cases of interest are also discussed.
doi:10.1515/cls-2016-0009 fatcat:zrxoiocayrby5hcq2woaouydci
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Rajneesh Kumar, Poonam Sharma. "Modelling of Piezothermoelastic Beam with Fractional Order Derivative." Curved and Layered Structures 3.1 (2016)