Modelling of Piezothermoelastic Beam with Fractional Order Derivative

• Autorzy: Rajneesh Kumar , Poonam Sharma
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Piezothermoelastic; Transverse vibrations; Frequencyshift; Fractional order; Damping

• Wydawca: De Gruyter Open
• Czasopismo: Curved and Layered Structures
• Rocznik: 2016
• Tom: 3
• Numer: 1

Daty

otrzymano

2015-11-20

zaakceptowano

2016-02-22

online

2016-04-21

Twórcy

autor

Rajneesh Kumar

• Department of Mathematics, Kurukshetra University, Kurukshetra 136119, Haryana, India

autor

Poonam Sharma

• Department of Mathematics, Kurukshetra University, Kurukshetra 136119, Haryana, India

Identyfikatory

DOI

10.1515/cls-2016-0009