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Forced nonlinear vibrations in a smart magneto-viscoelastic multiscale composite nanobeam in a humid thermal environment

Anitha Lakshmanan, Rajalakshmi Loganathan, Selvamani Rajendran, Ebrahimi Farzad

Engineering Transactions

2023

Vol. 71, iss. 4

617--644

In this paper, we study forced harmonic waves in a magneto-electro-viscoelastic (MEV) nanobeam embedded in a viscoelastic foundation using nonlocal strain gradient elasticity theory. The viscoelastic foundation is modeled as a Winkler-Pasternak layer. The governing equations of the nonlocal strain gradient viscoelastic nanobeam are derived using Hamilton’s principle and solved analytically. A parametric study is presented to examine the effects of physical variables on the field. It is found that the effect of strain gradient and nonlocal parameter on dimensionless amplitude and phase angle is quite important. The findings from this study highlight the significance of identifying magneto-piezoelectricity in predicting the vibration characteristics of intelligent nanostructures and elucidating the impact of humid thermal effects on nanomaterials.

Nonlocal state-space strain gradient approach to the vibration of piezoelectric functionally graded nanobeam

Selvamani Rajendran, Loganathan Rubine, Ebrahimi Farzad

Engineering Transactions

2022

Vol. 70, iss. 4

319--338

In this work, the state-space nonlocal strain gradient theory is used for the vibration analysis of piezoelectric functionally graded material (FGM) nanobeam. Power law relations are used to describe the computing analysis of FGM constituent properties. The refined higherorder beam theory and Hamilton’s principle are used to obtain the equations of motion of the piezoelectric nanobeam. Besides, the governing equations of the piezoelectric nanobeam are extracted by the developed nonlocal state-space theory, and the analytical wave dispersion method is used to solve wave propagation problems. The real and imaginary solutions for wave frequency, loss factor and wave number are obtained and presented in graphs.

Static stability analysis of mass sensors consisting of hygro-thermally activated graphene sheets using a nonlocal strain gradient theory

Selvamani Rajendran, Mahaveer-Sreejayan Madasamy, Ebrahimi Farzad

Engineering Transactions

2020

Vol. 68, iss. 3

269--295

This paper develops a nonlocal strain gradient plate model for buckling analysis of graphene sheets under hygro-thermal environments with mass sensors. For a more accurate analysis of graphene sheets, the proposed theory contains two scale parameters related to the nonlocal and strain gradient effects. The graphene sheet is modeled via a two-variable shear deformation plate theory that does not need shear correction factors. Governing equations of a nonlocal strain gradient graphene sheet on the elastic substrate are derived via Hamilton’s principle. Galerkin’s method is implemented to solve the governing equations for different boundary conditions. Effects of different factors, such as moisture concentration rise, temperature rise, nonlocal parameter, length scale parameter, nanoparticle mass and geometrical parameters, on buckling characteristics of graphene sheets are examined and presented as dispersion graphs.