Electromechanical buckling behavior of smart piezoelectrically actuated higher-order size-dependent graded nanoscale beams in thermal environment

Journal of Vibration and Control

2017

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In this research, a free vibration study of a biaxially compressed magneto-electro-elastic functionally graded (MEE-FG) nanoplate resting on an elastic substrate is carried out according to a trigonometric plate formulation. Spatially graded MEE properties of the nanoplate are described according to a power-law distribution. Eringen’s nonlocal elasticity model is utilized to incorporate the small-scale influences. The distributions of magneto-electrical potentials in the thickness direction are considered as a combination of cosine and linear variations. The governing equations of the present plate model are obtained employing Hamilton’s principle. Some admissible functions are introduced to satisfy different boundary conditions and solving these equations. It is indicated that vibration frequencies of the MEE-FG nanoplate are dramatically affected by biaxial compression, magnetic potential, electric voltage, elastic substrate, small-scale parameter, and material gradation.

Section: Introductionmentioning

confidence: 99%

Vibration analysis of embedded biaxially loaded magneto-electrically actuated inhomogeneous nanoscale plates

Journal of Vibration and Control

2017

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“…Implementing a semianalytical approach, Niknam and Aghdam 34 discussed vibrational behavior of Euler-Bernoulli graded nanobeams. Most recently, Ebrahimi and Barati and Ebrahimi et al [33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50] explored thermal and hygrothermal effects on nonlocal behavior of nonhomogeneous nanoscale beams and plates. Ebrahimi and Barati 51 applied Reddy beam model for vibrational analysis of graded nanosize beams.…”

Section: Introductionmentioning

confidence: 99%

Influence of neutral surface position on dynamic characteristics of in-homogeneous piezo-magnetically actuated nanoscale plates

Proceedings of the Institution of Mechanical Engineers, Part C:

2017

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Based on exact position of neutral surface, vibrational behavior of smart nanoplates made of magneto-electro-elastic functionally graded materials is examined by implementing a Galerkin method for the first time. Magneto-electro-elastic properties of nanoplate vary in transverse direction via power-law model. The nonlocal governing equations of functionally graded plate under magneto-electrical field are formulated through Hamilton’s principle and nonlocal elasticity theory based on a four-variable refined plate theory, which avoids the use of shear correction factors by capturing shear deformation influences. Importance of various parameters including magnetic potential, electric voltage, various boundary conditions, nonlocality, material distribution, and plate thickness on natural frequencies of the magneto-electro-elastic functionally graded nanoplate are explored. It is elucidated that these parameters play significant roles on the dynamic behavior of magneto-electro-elastic functionally graded nanoplates.

“…Since the classical continuum mechanics is unable to model structures with small size, various higher order continuum theories are suggested to describe size dependency of the structure. It is reported by various researchers that Eringen's nonlocal elasticity theory [12,13] is an efficient tool to capture size effects [14][15][16][17]. Recently, nonlocal elasticity theory is employed for analysis of functionally graded (FG) nanostructures.…”

Section: Introductionmentioning

confidence: 99%

Magnetic field effects on dynamic behavior of inhomogeneous thermo-piezo-electrically actuated nanoplates

J Braz. Soc. Mech. Sci. Eng.

2016

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in engineering structures during the recent years. In 1990s, in two-phase composites of piezo-electric and piezo-magnetic materials, a strong magneto-electrical coupling effect was discovered which has potential practical application in many fields [1, 2] and reported that this coupling effect cannot be found in a single-phase material. Furthermore, MEE materials show some fascinating properties such as the piezo-electric, piezo-magnetic and magneto-electric influences in which the elastic deformations may be produced directly by mechanical loading or indirectly by an application of electric or magnetic field. The mechanical behaviors of magneto-electro-elastic structures have received notable attention by many researchers in the recent years [3-7]. Functionally graded materials (FGMs) have been emerged by manufacturing a mixture of ceramic and metal with smooth and continuous variation from one surface to the other. Therefore, it is important to explore the mechanical characteristics of functionally graded materials' structures in terms of non-destructive evaluation and material characterization. Hence, FGMs have received wide applications as structural components in modern industries, such as mechanical, civil, nuclear reactors, and aerospace engineering. In the recent years, several researchers examined mechanical properties of structural elements made from magneto-electro-elastic functionally graded (MEE-FG) materials. Pan and Han [8] provided exact solution for analysis of the rectangular plates composed of functionally graded, anisotropic, and linear magneto-electroelastic materials. Furthermore, the plane stress problem of a MEE-FG beam was inspected by Huang et al. [9] using an analytical method. In another survey, Wu and Tsai [10] examined static behavior of a doubly curved MEE-FG shell employing an asymptotic approach. Kattimani and Ray [11] researched large amplitude vibration responses of MEE-FG plates.