Fractional model of viscoelastic oscillator and application to a crawler tractor

2016 ◽  
Vol 64 (3) ◽  
pp. 388-402 ◽  
Author(s):  
Zhan-Long Li ◽  
Da-Gang Sun ◽  
Bao Sun ◽  
Bi-Juan Yan ◽  
Bin-Hui Han ◽  
...  
Keyword(s):  
Fractional Model ◽  
Viscoelastic Oscillator

Response of viscoelastic damping system modeled by fractional viscoelastic oscillator

2016 ◽  
Vol 231 (17) ◽  
pp. 3169-3180 ◽  
Author(s):  
ZL Li ◽  
DG Sun ◽  
BH Han ◽  
B Sun ◽  
X Zhang ◽  
...  
Keyword(s):  
Engineering Application ◽  
Geometric Factor ◽  
Dynamic Responses ◽  
Viscoelastic Damping ◽  
Fractional Model ◽  
Proposed Model ◽  
Considerable Impact ◽  
Control Capability ◽  
Viscoelastic Oscillator ◽  
Damping Systems

The fractional model considering geometric factor of viscoelastic damping systems is proposed by adopting fractional viscoelastic oscillator. To obtain dynamic responses of the fractional model, a numerical method is derived based on matrix function theory and Grumwald–Letnikov discrete form of fractional derivative. As a special engineering application example, the vibration response of the viscoelastic suspension installed in heavy crawler-type vehicles is studied through the proposed model. Furthermore, the parameter influence on the vibration control capability of the viscoelastic suspension is researched. The results indicate that the fractional viscoelastic oscillator is a favorable choice to characterize the dynamic behavior of viscoelastic damping structures. Additionally, the parameters in fractional viscoelastic oscillator namely geometric factor and fractional order exert considerable impact on the dynamic response of viscoelastic damping structures.

The formation of dynamic variable order fractional differential equation

2016 ◽  
Vol 27 (07) ◽  
pp. 1650074 ◽  
Author(s):  
S. Sahoo ◽  
S. Saha Ray ◽  
S. Das ◽  
R. K. Bera
Keyword(s):  
Differential Equation ◽  
Transfer Function ◽  
Fractional Differential Equation ◽  
Variable Order ◽  
Dynamic Variable ◽  
Fractional Model ◽  
Fractional Differential ◽  
Viscoelastic Oscillator

In this paper, the formation of variable order (VO) model is established for continuous order fractional model. We review the definitions and properties of VO operators given by many researchers. We use the VO operator to define the new transfer function and analyze the model of a dynamic viscoelastic oscillator.

scholarly journals Fractional model for MHD flow of Casson fluid with cadmium telluride nanoparticles using the generalized Fourier’s law

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Nadeem Ahmad Sheikh ◽  
Dennis Ling Chuan Ching ◽  
Ilyas Khan ◽  
Hamzah Bin Sakidin ◽  
Muhammad Jamil ◽  
...  
Keyword(s):  
Energy Equation ◽  
Volume Fraction ◽  
Mhd Flow ◽  
Integral Transforms ◽  
Casson Fluid ◽  
Physical Parameters ◽  
Fourier’S Law ◽  
Fractional Model ◽  
Laplace Transformations ◽  
Fourier's Law

AbstractThe present work used fractional model of Casson fluid by utilizing a generalized Fourier’s Law to construct Caputo Fractional model. A porous medium containing nanofluid flowing in a channel is considered with free convection and electrical conduction. A novel transformation is applied for energy equation and then solved by using integral transforms, combinedly, the Fourier and Laplace transformations. The results are shown in form of Mittag-Leffler function. The influence of physical parameters have been presented in graphs and values in tables are discussed in this work. The results reveal that heat transfer increases with increasing values of the volume fraction of nanoparticles, while the velocity of the nanofluid decreases with the increasing values of volume fraction of these particles.

scholarly journals Effects of hybrid nanofluid on novel fractional model of heat transfer flow between two parallel plates

2021 ◽  
Vol 60 (4) ◽  
pp. 3593-3604
Author(s):  
Muhammad Danish Ikram ◽  
Muhammad Imran Asjad ◽  
Ali Akgül ◽  
Dumitru Baleanu
Keyword(s):  
Heat Transfer ◽  
Hybrid Nanofluid ◽  
Parallel Plates ◽  
Fractional Model ◽  
Transfer Flow
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