Journal ArticleDOI
Non-Linear Behavior of a Rubber Isolator System Using Fractional Derivatives
M. Sjoberg,Leif Kari +1 more
TLDR
In this article, a non-linear rubber isolator included in a dynamic system is examined where influences of dynamic amplitude and frequency are investigated through measurements and modeling, and good agreement is obtained in a wide frequency and amplitude range for a freely oscillating one degree of freedom system, with the isolator acting as a coupling between exciting foundation and mass.Abstract:
A non-linear rubber isolator included in a dynamic system is examined where influences of dynamic amplitude and frequency are investigated through measurements and modeling. The frequency dependence of the isolator is modeled by a fractional calculus element while a frictional component accounts for its amplitude dependence. The model works in the time-domain and simulations of harmonic and non-harmonic motion are compared to measurements. Good agreement is obtained in a wide frequency and amplitude range for a freely oscillating one degree of freedom system, with the isolator acting as a coupling between exciting foundation and mass, and for a single isolator showing the typical amplitude dependence known as the Payne effect. The model is found to be superior to the commonly applied Kelvin-Voigt element in modeling the dynamic isolator properties.read more
Citations
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Journal ArticleDOI
Recent advances in nonlinear passive vibration isolators
TL;DR: In this paper, a comprehensive assessment of recent developments of nonlinear isolators in the absence of active control means is presented, which highlights resolved and unresolved problems and recommendations for future research directions.
Journal ArticleDOI
Application of Fractional Calculus for Dynamic Problems of Solid Mechanics: Novel Trends and Recent Results
TL;DR: In this article, the authors present the analysis of new trends and recent results carried out during the last 10 years in the field of fractional calculus application to dynamic problems of solid mechanics.
Journal Article
Fractional Kalman filter algorithm for the states, parameters and order of fractional system estimation
TL;DR: In this paper, a generalization of the Kalman filter for linear and nonlinear fractional order discrete state-space systems is presented, and a simple numerical example of linear state estimation is presented.
Journal ArticleDOI
Fractional Positive Continuous-Time Linear Systems and Their Reachability
TL;DR: Fractional Positive Continuous-Time Linear Systems and Their Reachability A new class of fractional linear continuous-time linear systems described by state equations is introduced and the solution to the state equation is derived using the Laplace transform.
Journal ArticleDOI
A nonlinear and fractional derivative viscoelastic model for rail pads in the dynamic analysis of coupled vehicle-slab track systems
TL;DR: In this article, a nonlinear and fractional derivative viscoelastic (FDV) model is used to capture the complex behavior of rail pads and is implemented into the dynamic analysis of coupled vehicle-slab track (CVST) systems.
References
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Journal ArticleDOI
Applications of Fractional Calculus to the Theory of Viscoelasticity
TL;DR: The relation entre le calcul fractionnaire and the theory of l'equation integrale d'Abel for les materiaux a memoire is discussed in this paper.
Journal ArticleDOI
Applications of Fractional Calculus to Dynamic Problems of Linear and Nonlinear Hereditary Mechanics of Solids
Journal ArticleDOI
Modelling of Railway Track and Vehicle/Track Interaction at High Frequencies
Klaus Knothe,S L Grassie +1 more
TL;DR: A review of dynamic modelling of railway track and of the interaction of vehicle and track at frequencies which are sufficiently high for the track's dynamic behaviour to be significant is presented in this paper.
Journal ArticleDOI
Low Strain Dynamic Properties of Filled Rubbers
A. R. Payne,R. E. Whittaker +1 more
TL;DR: In this article, the authors show that the decrease in shear modulus of filled rubber vulcanizates with strain is due almost certainly to these secondary forces, such as attrition of the carbon black, increased time of mixing, or the addition of chemical promoters which aim at dispersing the carbon-black within the mix better.
Journal ArticleDOI
A Non-Linear Rubber Spring Model for Rail Vehicle Dynamics Analysis
TL;DR: In this paper, a non-linear, dynamic rubber spring model is proposed to represent the mechanical behaviour of rubber suspension components in rail vehicle dynamics, based on a superposition of elastic, friction and viscous forces.
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