Three-dimensional fractional derivative model of smart constrained layer damping treatment for composite plates

2016 ◽  
Vol 156 ◽  
pp. 291-306 ◽  
Author(s):  
Priyankar Datta ◽  
M.C. Ray
Keyword(s):  
Fractional Derivative ◽  
Three Dimensional ◽  
Composite Plates ◽  
Constrained Layer Damping ◽  
Fractional Derivative Model

Effect of carbon nanotube waviness on smart damping of geometrically nonlinear vibrations of fuzzy-fiber reinforced composite plates

2019 ◽  
Vol 30 (7) ◽  
pp. 977-997 ◽  
Author(s):  
Priyankar Datta ◽  
Manas Chandra Ray
Keyword(s):  
Three Dimensional ◽  
Composite Plates ◽  
Element Model ◽  
Geometrically Nonlinear ◽  
Constrained Layer Damping ◽  
Fiber Reinforced ◽  
Piezoelectric Composites ◽  
Fiber Reinforced Composite ◽  
Reinforced Composite ◽  
Geometrically Nonlinear Vibrations

In this article, we present a finite element model for the three-dimensional analysis of smart constrained layer damping of geometrically nonlinear vibrations of laminated fuzzy-fiber reinforced composite plates. The three-dimensional fractional derivative constitutive relation is implemented for the viscoelastic layer. The constraining layer of the smart constrained layer damping treatment is composed of the vertically/obliquely reinforced 1–3 piezoelectric composites. The von Kármán–type nonlinear strain–displacement relations are used to incorporate the geometric nonlinearity in the model. The main aim of this article is to numerically investigate the effect of carbon nanotube waviness on the nonlinear smart damping. Several thin laminated substrate fuzzy-fiber reinforced composite plates with straight carbon nanotubes and wavy carbon nanotubes with different waviness in different planes are considered with various boundary conditions and stacking sequences to numerically compute their effect on smart damping. The performance of the obliquely reinforced 1–3 piezoelectric composites is discussed and the efficacy of the present smart finite element model in terms of active control authority is also presented.

Three-Dimensional Finite Element Simulations on Impact Responses of Gels With Fractional Derivative Models

2019 ◽  
Vol 14 (4) ◽  
Author(s):  
Masataka Fukunaga ◽  
Masaki Fujikawa ◽  
Nobuyuki Shimizu
Keyword(s):  
Finite Element ◽  
Fractional Derivative ◽  
Computational Model ◽  
Three Dimensional ◽  
Constitutive Models ◽  
Fractional Derivative Model ◽  
Dimensional Finite Element ◽  
Impact Responses ◽  
Model Computer ◽  
Three Dimensional Finite Element

Fractional derivative constitutive models, developed by the present authors (CND, vol.10, 061002, 2015), are implemented into a commercial finite element (FE) software, abaqus (referred to as a computational model) for solving dynamic problems of gel-like materials. This software is used to solve impact responses of gels, and the solutions are compared with the experimental results. The FE results reproduce well the experimental acceleration and displacement data from different types of gels whose properties are characterized by the fractional order and material parameters. Thus, the computational model presented here was validated. The fractional derivative model is compared with the Simo model (Computer Method in Applied Mechanics and Engineering, 60:153–173, 1987), which is an integer order derivative model. The response of the fractional derivative model can be approximated well when appropriate parameters of the Simo model are used. In the finite element method (FEM), compressibility is introduced artificially for simulations. Interpretations are given on the compressibility of materials in the FEM.

scholarly journals Modeling ramp-hold indentation measurements based on Kelvin–Voigt fractional derivative model

2018 ◽  
Vol 29 (3) ◽  
pp. 035701 ◽  
Author(s):  
Hongmei Zhang ◽  
Qing zhe Zhang ◽  
Litao Ruan ◽  
Junbo Duan ◽  
Mingxi Wan ◽  
...  
Keyword(s):  
Fractional Derivative ◽  
Fractional Derivative Model

Can a Time Fractional-Derivative Model Capture Scale-Dependent Dispersion in Saturated Soils?

Ground Water ◽  
2017 ◽  
Vol 55 (6) ◽  
pp. 857-870 ◽  
Author(s):  
Rhiannon M. Garrard ◽  
Yong Zhang ◽  
Song Wei ◽  
HongGuang Sun ◽  
Jiazhong Qian
Keyword(s):  
Fractional Derivative ◽  
Saturated Soils ◽  
Fractional Derivative Model ◽  
Time Fractional Derivative

Kelvin-Voigt versus fractional derivative model as constitutive relations for viscoelastic materials

AIAA Journal ◽  
1995 ◽  
Vol 33 (3) ◽  
pp. 547-550 ◽  
Author(s):  
Lloyd B. Eldred ◽  
William P. Baker ◽  
Anthony N. Palazotto
Keyword(s):  
Fractional Derivative ◽  
Constitutive Relations ◽  
Viscoelastic Materials ◽  
Fractional Derivative Model
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