Modelling of Piezothermoelastic Beam with Fractional Order Derivative

Rajneesh Kumar, and Poonam Sharma. "Modelling of Piezothermoelastic Beam with Fractional Order Derivative." Curved and Layered Structures 3.1 (2016): null. <http://eudml.org/doc/277105>.

@article{RajneeshKumar2016,
abstract = {This 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 derivative 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.},
author = {Rajneesh Kumar, Poonam Sharma},
journal = {Curved and Layered Structures},
keywords = {Piezothermoelastic; Transverse vibrations; Frequency shift; Fractional order; Damping},
language = {eng},
number = {1},
pages = {null},
title = {Modelling of Piezothermoelastic Beam with Fractional Order Derivative},
url = {http://eudml.org/doc/277105},
volume = {3},
year = {2016},
}

TY - JOUR
AU - Rajneesh Kumar
AU - Poonam Sharma
TI - Modelling of Piezothermoelastic Beam with Fractional Order Derivative
JO - Curved and Layered Structures
PY - 2016
VL - 3
IS - 1
SP - null
AB - This 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 derivative 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.
LA - eng
KW - Piezothermoelastic; Transverse vibrations; Frequency shift; Fractional order; Damping
UR - http://eudml.org/doc/277105
ER -