Three classes of fractional oscillators
M Li - Symmetry, 2018 - mdpi.com
This article addresses three classes of fractional oscillators named Class I, II and III. It is
known that the solutions to fractional oscillators of Class I type are represented by the Mittag …
known that the solutions to fractional oscillators of Class I type are represented by the Mittag …
Dynamic response of a simply supported viscoelastic beam of a fractional derivative type to a moving force load
JK Freundlich - Journal of Theoretical and Applied Mechanics, 2016 - iwww.ptmts.org.pl
In the paper, the dynamic response of a simply supported viscoelastic beam of the fractional
derivative type to a moving force load is studied. The Bernoulli-Euler beam with the …
derivative type to a moving force load is studied. The Bernoulli-Euler beam with the …
Determination of critical and cancellation speeds of Euler–Bernoulli beam subject to a continuously moving load
S Bashmal - International Journal of Structural Stability and …, 2019 - World Scientific
Treated herein is an elastic beam that is subjected to a constant load that travels
continuously (back and forth) along its span. The dynamic deflection of the beam is …
continuously (back and forth) along its span. The dynamic deflection of the beam is …
On the vibration analysis of power lines with moving dampers
This work investigates the performance of a moving damper for overhead transmission lines.
The damper or absorber consists of mass-spring-damper-mass system. The absorber is …
The damper or absorber consists of mass-spring-damper-mass system. The absorber is …
Analytical and numerical solutions for vibration of a functionally graded beam with multiple fractionally damped absorbers
The paper investigates the vibration response of functionally graded (FG) and viscoelastic/
fractionally damped beams located on the Pasternak foundation. The vibration suppression …
fractionally damped beams located on the Pasternak foundation. The vibration suppression …
Vibrations suppression of fractionally damped plates using multiple optimal dynamic vibration absorbers
The vibration suppression of fractionally damped thin rectangular plates is studied. The plate
has simply supported edges and is subjected to a concentrated harmonic loading. The …
has simply supported edges and is subjected to a concentrated harmonic loading. The …
Fractional-Order Models of Dam** Phenomena in a Flexible Sensing Antenna Used for Haptic Robot Navigation
In this paper, two types of fractional-order dam** are proposed for a single flexible link:
internal and external friction, related to the material of the link and the environment …
internal and external friction, related to the material of the link and the environment …
[HTML][HTML] Dealing with Stationary Sinusoidal Responses of Seven Types of Multi-Fractional Vibrators Using Multi-Fractional Phasor
M Li - Symmetry, 2024 - mdpi.com
The novelty and main contributions of this paper are reflected in four aspects. First, we
introduce multi-fractional phasor in Theorem 1. Second, we propose the motion phasor …
introduce multi-fractional phasor in Theorem 1. Second, we propose the motion phasor …
Vibration of functionally graded beam subjected to moving oscillator using Caputo-Fabrizio fractional derivative model
AA ALMBAIDIN, IM ABU-ALSHAIKH - Romanian Journal of Acoustics and …, 2019 - rjav.sra.ro
In this paper, the vibration of an Euler-Bernoulli functionally graded beam under a moving
oscillator is investigated. The beam is considered to be simply supported whereas its …
oscillator is investigated. The beam is considered to be simply supported whereas its …
On the equivalence between fractional and classical oscillators
P Łabędzki, R Pawlikowski - Communications in Nonlinear Science and …, 2023 - Elsevier
Recently, much research has been conducted on fractional-order differential calculus to
generalise existing mathematical models or propose new ones to describe different …
generalise existing mathematical models or propose new ones to describe different …