List of Articles Nonlocal strain gradient

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  1 - Vibration Analysis of Size-Dependent Piezoelectric Nanobeam Under Magneto-Electrical Field
  M Ghadiri M Karimi Asl M Noroozi
  10.22034/jsm.2019.1864682.1446
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  2 - Size-Dependent Forced Vibration Analysis of Three Nonlocal Strain Gradient Beam Models with Surface Effects Subjected to Moving Harmonic Loads
  K Rajabi Sh Hosseini Hashemi A.R Nezamabadi
  10.22034/jsm.2019.664215
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  3 - Size-Dependent Vibration Problem of Two Vertically-Aligned Single-Walled Boron Nitride Nanotubes Conveying Fluid in Thermal Environment Via Nonlocal Strain Gradient Shell Model
  P Roodgar Saffari M Fakhraie M. A Roudbari
  10.22034/jsm.2020.1895313.1561
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  4 - Non-linear vibration analysis of circular nano-plate based on nonlocal strain gradient method
  morteza pourabdi Mohammad Shishesaz Shahram Shahrooi Seyed Alireza Seyed Roknizadeh
  The non-linear vibration analysis of a clamped circular nano-plate is performed using the nonlocal strain gradient model. For this purpose, a combination of the differential form of the nonlocal elasticity theory and strain gradient model, along with Hamilton’s pr More

  The non-linear vibration analysis of a clamped circular nano-plate is performed using the nonlocal strain gradient model. For this purpose, a combination of the differential form of the nonlocal elasticity theory and strain gradient model, along with Hamilton’s principle, are used in conjunction with the von Kármán nonlinear strain-displacement relationships and Galerkin weighted residual method to discretize the governing equations. The analysis has focused on the effect of nonlocal and material parameter, initial conditions, and frequency number, on the overall behavior of the nano-plate. Using Galerkin method, the system of non-linear differential equations is obtained and the natural non-linear frequencies, as well as the mode shapes, are determined. Results indicate that increasing the parameters of nonlocal and material has a decreasing and increasing effect (respectively) in the frequency ratio in all modes. This indicates that these parameters have a softening and hardening behavior on the plate vibrational behavior respectively. Also, increasing the initial value of deflection produces a rising trend in the frequency ratio for all modes, nonlocal parameter λ and material parameter Ls. Manuscript profile
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  5 - Free vibration analysis of viscoelastic nanotubes under longitudinal magnetic field based on non-position strain gradient of Tymoshenko beam model
  Parviz Ghazviniyan
  In this paper, the free vibration of viscoelastic nanotubes under longitudinal magnetic field is investigated. The governing equation is formulated using the Tymoshenko beam model and the Kelvin-Witt model based on the theory of nonlinear strain gradient. The local adap More

  In this paper, the free vibration of viscoelastic nanotubes under longitudinal magnetic field is investigated. The governing equation is formulated using the Tymoshenko beam model and the Kelvin-Witt model based on the theory of nonlinear strain gradient. The local adaptive differential squaring (LADQM) method is used in the analysis procedure. Also, the effect of non-positional parameters, structural depreciation coefficient, material length scale parameter and longitudinal magnetic field on the natural frequencies of the system has been investigated. The results of this study may be useful in understanding the potential application of nanotubes in nano-electromechanical systems. Manuscript profile