Nonlinear analysis of forced vibration of nonlocal third-order shear deformable beam model of magneto–electro–thermo elastic nanobeams |
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| Affiliation: | 1. Department of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, Iran;2. Department of Mechanical Engineering, Lahijan Branch, Islamic Azad University, P.O. Box 1616, Lahijan, Iran;1. Mechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Iran;2. Shahrekord University of Medical Sciences, Shahrekord, Iran;3. Shahrekord Branch, Islamic Azad University, Shahrekord, Iran;1. Department of Civil Engineering, Indian Institute of Technology, Hyderabad, India;2. Department of Mechanical Engineering, Texas A&M University, College Stations, USA;1. Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123, USA;2. Mechanical Engineering Program, Texas A&M University at Qatar, Engineering Building, P.O. Box 23874, Education City, Doha, Qatar;3. Applied Mechanics and Systems Research Laboratory, Tunisia Polytechnic School, University of Carthage, B.P. 743, La Marsa 2078, Tunisia;1. Department of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, Iran;2. Department of Mechanical Engineering, Lahijan Branch, Islamic Azad University, P.O. Box 1616, Lahijan, Iran |
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| Abstract: | This paper deals with the forced vibration behavior of nonlocal third-order shear deformable beam model of magneto–electro–thermo elastic (METE) nanobeams based on the nonlocal elasticity theory in conjunction with the von Kármán geometric nonlinearity. The METE nanobeam is assumed to be subjected to the external electric potential, magnetic potential and constant temperature rise. Based on the Hamilton principle, the nonlinear governing equations and corresponding boundary conditions are established and discretized using the generalized differential quadrature (GDQ) method. Thereafter, using a Galerkin-based numerical technique, the set of nonlinear governing equations is reduced into a time-varying set of ordinary differential equations of Duffing type. The pseudo-arc length continuum scheme is then adopted to solve the vectorized form of nonlinear parameterized equations. Finally, a comprehensive study is conducted to get an insight into the effects of different parameters such as nonlocal parameter, slenderness ratio, initial electric potential, initial external magnetic potential, temperature rise and type of boundary conditions on the natural frequency and forced vibration characteristics of METE nanobeams. |
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| Keywords: | A Nano-structures B Vibration C Numerical analysis |
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