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Farzad Ebrahimi,Majid Ghadiri,Erfan Salari,Seied Amir Hosein Hoseini,Gholam Reza Shaghaghi 대한기계학회 2015 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.29 No.3
In this study, the applicability of differential transformation method (DTM) in investigations on vibrational characteristics of functionallygraded (FG) size-dependent nanobeams is examined. The material properties of FG nanobeam vary over the thickness based on thepower law. The nonlocal Eringen theory, which takes into account the effect of small size, enables the present model to be effective in theanalysis and design of nanosensors and nanoactuators. Governing equations are derived through Hamilton’s principle. The obtained resultsexactly match the results of the presented Navier-based analytical solution as well as those available in literature. The DTM is alsodemonstrated to have high precision and computational efficiency in the vibration analysis of FG nanobeams. The detailed mathematicalderivations are presented and numerical investigations performed with emphasis placed on investigating the effects of several parameters,such as small scale effects, volume fraction index, mode number, and thickness ratio on the normalized natural frequencies of the FGnanobeams. The study also shows explicitly that vibrations of FG nanobeams are significantly influenced by these effects. Numericalresults are presented to serve as benchmarks for future analyses of FG nanobeams.
Peyman Rashidpour,Majid Ghadiri,Asghar Zajkani 국제구조공학회 2021 Steel and Composite Structures, An International J Vol.41 No.3
The present research aims to analyze the response of viscoelastic laminated composite microplate under microparticle low-velocity impact. Hertz contact law is used to model the impact phenomenon between the microparticle and the microplate. According to Kelvin-Voigt theory, the realistic behavior of the structure is considered by considering the viscoelastic properties. The governing equations of the system are derived based on the first-order shear deformation plate theory (FSDT) and the nonlocal strain gradient theory (NSGT) by employing Hamilton’s principle. Galerkin’s method is employed to solve differential equations of microplate with different boundary conditions. Afterward, the system of time-dependent equations by applying the Newmark’s method is solved. The parametric study is presented to examine the effect of particle radius, particle initial velocity, nonlocal parameter, length scale
Dynamic analysis of magnetorheological elastomer sandwich MEMS sensor under magnetic field
Hossein Akhavan,Javad Ehyaei,Majid Ghadiri 국제구조공학회 2022 Smart Structures and Systems, An International Jou Vol.29 No.5
In this paper, the effect of magnetic field on the vibration behavior of a Magnetorheological elastomer (MRE) sandwich MEMS actuated by electrostatic actuation with conductive skins are examined within the multiple scales (MMS) perturbation method. Magnetorheological smart materials have been widely used in vibration control of various systems due to their mechanical properties change under the influence of different magnetic fields. To investigate the vibrational behavior of the movable electrode, the Euler-Bernoulli beam theory, as well as Hamilton's principle is used to derive the equations and the related boundary conditions governing the dynamic behavior of the system are applied. The results of this study show that by placing the Magnetorheological elastomer core in the movable electrode and applying different magnetic fields on it, its natural vibrational frequency can be affected so that by increasing the applied magnetic field, the system's natural frequency increases. Also, the effect of various factors such as the electric potential difference between two electrodes, changes in the thickness of the core and the skins, electrode length, the distance between two electrodes and also change in vibration modes of the system on natural frequencies have been investigated.