On transient hygrothermal vibration of embedded viscoelastic flexoelectric/piezoelectric nanobeams under magnetic loading

Ali Shariati , Farzad Ebrahimi , Mahsa Karimiasl , M. Vinyas , Ali Toghroli

Abstract

This paper investigates the vibration characteristics of flexoelectric nanobeams resting on viscoelastic foundation and subjected to magneto-electro-viscoelastic-hygro-thermal (MEVHT) loading. In this regard, the Nonlocal strain gradient elasticity theory (NSGET) is employed. The proposed formulation accommodates the nonlocal stress and strain gradient parameter along with the flexoelectric coefficient to accurately predict the frequencies. Further, with the aid of Hamilton\'s principle the governing differential equations are derived which are then solved through Galerkin-based approach. The variation of the natural frequency of MEVHT nanobeams under the influence of various parameters such as the nonlocal strain gradient parameter, different field loads, power-law exponent and slenderness ratio are also investigated.

Key Words

transient damping vibration; magneto-electro-viscoelastic-hygro-thermal; nanobeam; Visco-Pasternak foundation; nonlocal strain gradient elasticity

Address

(1) Ali Shariati — Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam
(2) Ali Shariati — Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
(3) Farzad Ebrahimi, Mahsa Karimiasl — Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran
(4) M. Vinyas — Department of Aerospace Engineering, Indian Institute of Science, Bangalore-560012, India
(5) Ali Toghroli — Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam.

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