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        Geometrically nonlinear vibration analysis of piezoelectrically actuated FGM plate with an initial large deformation

        Farzad Ebrahimi,Mohammad Hassan Naei,Abbas Rastgoo 대한기계학회 2009 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.23 No.8

        A theoretical model for geometrically nonlinear vibration analysis of piezoelectrically actuated circular plates made of functionally grade material (FGM) is presented based on Kirchhoff’s-Love hypothesis with von-Karman type geometrical large nonlinear deformations. To determine the initial stress state and pre-vibration deformations of the smart plate a nonlinear static problem is solved followed by adding an incremental dynamic state to the pre-vibration state. The derived governing equations of the structure are solved by exact series expansion method combined with perturbation approach. The material properties of the FGM core plate are assumed to be graded in the thickness direction according to the power-law distribution in terms of the volume fractions of the constituents. Control of the FGM plate’s nonlinear deflections and natural frequencies using high control voltages is studied and their nonlinear effects are evaluated. Numerical results for FG plates with various mixture of ceramic and metal are presented in dimensionless forms. In a parametric study the emphasis is placed on investigating the effect of varying the applied actuator voltage as well as gradient index of FGM plate on vibration characteristics of the smart structure.

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        Coupling pseudo-spectral method and integral quadrature rule for nonlinear vibration analysis of graphene sheets carrying concentrated nano objects

        S. Kamal Jalali,Mohammad Hassan Naei 대한기계학회 2015 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.29 No.9

        In present study the potential application of graphene with attached particles as nano resonant sensors is investigated using nonlocalelasticity. An elastic connection between the nano plate and the attached nanoparticle, is considered as a spring and a combination ofpseudo-spectral and integral quadrature methods is implemented to determine the frequency shift. Results reveal that for soft connectionsthe predicted frequency shift is greater than rigid connections that means considering a rigid connection instead of elastic one will underestimatethe frequency shift of nano resonant sensors. Also, it is seen that nonlocal small scale parameter has a decreasing effect on thefrequency shift of nano resonant sensors.

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        A mixed analytical-numerical investigation of snap-through of low arches with a power-law variable thickness

        Ali Asghar Atai,Mohammad Hassan Naei,Reza Eghtefari 대한기계학회 2010 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.24 No.11

        Snap-through is an instability phenomenon that occurs in arch and dome-shaped structures, wherein the structure has to move from a stable equilibrium state through an unstable path into another stable equilibrated configuration in a jumping action. In this study, a linear elastic isotropic low arch is considered as a structure with power-law variable thickness. The phenomenon is investigated by considering the equation of the deflection for the variable thickness arch, solving it with an elegant analytical technique, and finding the snap-through critical load from an extreme condition. The effect of power-law exponent and geometry of the arch centerline on critical load is investigated and the constant thickness case and a very rare case of power-law thickness variation found in literature are considered for verification.

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        Limit load analysis of shallow arches made of functionally bi-directional graded materials under mechanical loading

        Ali Asghar Atai,Mohammad Hassan Naei,Shabnam Rahrovan 대한기계학회 2012 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.26 No.6

        Thin shallow arches may become unstable under transverse loading if the built-up internal compressive forces reach a limiting value beyond which the structure undergoes a sudden large displacement towards a new stable configuration. This phenomenon could be both desirable (in toggle switches) and disastrous (collapse of a dome or truss). Hence, the so-called snap- or limit-load analysis becomes important as to which factors influence it to give guidelines in designing structures to behave favorably. By the introduction of functionally graded materials (FGMs) in recent years, and incorporating them into this phenomenon, interesting results can be obtained which can give structures with favorable instability properties. In this work, a thin shallow arch with a modulus that can be varied along the thickness or the arch length or both is considered. Based on the governing equations of the deflected arch, the snap load is obtained in a mixed analytical-numerical approach and a parameter study of the critical load is carried out. Several verifying and interesting examples are presented.

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