Vibration of piezo-magneto-thermoelastic FG nanobeam submerged in fluid with variable nonlocal parameter

Selvamani Rajendran , Rubine Loganathan , Murat Yaylaci , Ecren Uzun Yaylaci , Mehmet Emin Özdemir

Abstract

This paper studies the free vibration analysis of the piezo-magneto-thermo-elastic FG nanobeam submerged in a fluid environment. The problem governed by the partial differential equations is determined by refined higher-order State Space Strain Gradient Theory (SSSGT). Hamilton's principle is applied to discretize the differential equation and transform it into a coupled Euler-Lagrange equation. Furthermore, the equations are solved analytically using Navier's solution technique to form stiffness, damping, and mass matrices. Also, the effects of nonlocal ceramic and metal parts over various parameters such as temperature, Magnetic potential and electric voltage on the free vibration are interpreted graphically. A comparison with existing published findings is performed to showcase the precision of the results.

Key Words

FG piezoelectric beam; higher order refined shear deformation theory; spatial nonlocal wave; variable nonlocal elasticity

Address

Selvamani Rajendran and Rubine Loganathan — Karunya Institute of Technology and Sciences, Coimbatore, Tamilnadu, India
Murat Yaylaci — Department of Civil Engineering, Recep Tayyip Erdogan University, 53100, Rize, Turkey/ Turgut Kiran Maritime Faculty, Recep Tayyip Erdogan University, 53900, Rize, Turkey/ Murat Yaylaci-Luzeri R&D Engineering Company, 53100, Rize, Turkey
Ecren Uzun Yaylaci — Faculty of Engineering and Architecture, Recep Tayyip Erdogan University, 53100, Rize, Turkey
Mehmet Emin Özdemir — Department of Civil Engineering, Cankiri Karatekin University, 18100, Çankiri, Turkey

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