Abstract
Magneto-Electro-Thermo nanobeam resting on a nonlinear elastic foundation is presented. This beam is subjected to the external electric voltage and magnetic potential, mechanical potential and temperature change. Also, we added the new material PTZ-5H-COFe2O4. The governing equations and boundary conditions are derived using Hamilton principle. These equations are discretized by using three differential quadrature methods and iterative quadrature technique to determine the natural frequencies and mode shapes. Numerical analysis is introduced to explain the influence of computational characteristics of the proposed schemes on convergence, accuracy and efficiency of the obtained results. The obtained results agreed with the previous analytical and numerical ones. A detailed parametric study is conducted to investigate the influences of different boundary conditions, various composite materials, nonlinear elastic foundation, nonlocal parameter, the length-to-thickness ratio, external electric and magnetic potentials, axial forces, temperature and their effects on the vibration characteristics of Magneto-Electro-Thermo-Elastic nanobeam.
Highlights
Magneto-Electro-Thermo-Elastic (METE) composite materials which have piezoelectric and piezomagnetic phases can convert electric, thermal, elastic and magnetic energies to another form
More convergence and efficiency of each one of the proposed schemes for vibration analysis of magneto-electrothermo-elastic nanobeams are demonstrated by the present numerical results
Three Different Quadrature schemes and Iterative quadrature technique have been successfully applied for vibration analysis of magneto-electro-thermo-elastic nanobeams
Summary
Magneto-Electro-Thermo-Elastic (METE) composite materials which have piezoelectric and piezomagnetic phases can convert electric, thermal, elastic and magnetic energies to another form Wu et al, (2007) investigated three-dimensional (3D) static behavior of doubly curved functionally graded (FG) magneto-electro-elastic shells under mechanical load, electric displacement and magnetic flux. Huang et al, (2010) studied the analytical and semi-analytical solutions for anisotropic functionally graded magnetoelectro-elastic beam subjected to an arbitrary load, which can be expanded in terms of sinusoidal series. Ansari et al, (2015) developed a nonlocal geometrically nonlinear beam model for magneto-electro-thermo-elastic nanobeams subjected to external electric voltage, external magnetic potential and uniform temperature rise. Ke et al, (2014b) studied the free vibration of embedded magneto-electro- elastic cylindrical nanoshells based on Love’s shell theory.
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