Nonlinear vibrations of beams with fractional derivative elements crossed by moving loads

Nonlinear dynamics of beams on nonlinear fractional viscoelastic foundation subjected to moving load with variable speed

(2022) Anas Ouzizi et al.   JOURNAL OF SOUND AND VIBRATION

Nonlinear response of beams with viscoelastic elements by an iterative linearization method

(2022) Yiyu Jiao et al.   INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

Nonlinear steady state vibrations of beams made of the fractional Zener material using an exponential version of the harmonic balance method

(2022) Roman Lewandowski   MECCANICA

Improved pseudo-force approach for Monte Carlo Simulation of non-linear fractional oscillators under stochastic excitation

(2022) Alba Sofi et al.   PROBABILISTIC ENGINEERING MECHANICS

Nonlinear vibration of fractional Kelvin–Voigt viscoelastic beam on nonlinear elastic foundation

(2021) Masoud Javadi et al.   Communications in Nonlinear Science and Numerical Simulation

Fractional Operator Viscoelastic Models in Dynamic Problems of Mechanics of Solids: A Review

(2021) M. V. Shitikova   Mechanics of Solids

Dynamic response spectra of fractionally damped viscoelastic beams subjected to moving load

(2020) R. K. Praharaj et al.   MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES

Nonlinear vibrations of beams and plates with fractional derivative elements subject to combined harmonic and random excitations

(2020) Pol D. Spanos et al.   PROBABILISTIC ENGINEERING MECHANICS

Implicit analytic solutions for a nonlinear fractional partial differential beam equation

(2020) Konstantinos B. Liaskos et al.   Communications in Nonlinear Science and Numerical Simulation

Dynamic response of Euler–Bernoulli beam resting on fractionally damped viscoelastic foundation subjected to a moving point load

(2020) Rajendra K Praharaj et al.   PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE

Nonlinear Dynamic Analysis of Fractional Damped Viscoelastic Beams

(2019) Guoqi Zhang et al.   International Journal of Structural Stability and Dynamics

Implicit analytic solutions for the linear stochastic partial differential beam equation with fractional derivative terms

(2018) Konstantinos B. Liaskos et al.   SYSTEMS & CONTROL LETTERS

Nonlinear vibration of viscoelastic beams described using fractional order derivatives

(2017) Roman Lewandowski et al.   JOURNAL OF SOUND AND VIBRATION

On the dynamics of Rayleigh beams resting on fractional-order viscoelastic Pasternak foundations subjected to moving loads

(2016) L.M. Anague Tabejieu et al.   CHAOS SOLITONS & FRACTALS

Dynamic response of a simply supported viscoelastic beam of a fractional derivative type to a moving force load

(2016) Jan Kazimierz Freundlich   Journal of Theoretical and Applied Mechanics

Stochastic dynamic response and reliability assessment of controlled structures with fractional derivative model of viscoelastic dampers

(2016) Jun Xu et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Fractional visco-elastic Timoshenko beam deflection via single equation

(2015) Antonina Pirrotta et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Nonlinear Random Vibrations of Beams with Fractional Derivative Elements

(2014) Pol D. Spanos et al.   JOURNAL OF ENGINEERING MECHANICS

Response of Fractionally Damped Beams with General Boundary Conditions Subjected to Moving Loads

(2014) R. Abu-Mallouh et al.   SHOCK AND VIBRATION

Fractional visco-elastic Euler–Bernoulli beam

(2013) M. Di Paola et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

Algorithms for seismic analysis of MDOF systems with fractional derivatives

(2011) M.P. Singh et al.   ENGINEERING STRUCTURES

Visco-elastic behavior through fractional calculus: An easier method for best fitting experimental results

(2011) M. Di Paola et al.   MECHANICS OF MATERIALS

Response of a non-linear system with restoring forces governed by fractional derivatives—Time domain simulation and statistical linearization solution

(2010) Pol D. Spanos et al.   SOIL DYNAMICS AND EARTHQUAKE ENGINEERING

Application of Fractional Calculus for Dynamic Problems of Solid Mechanics: Novel Trends and Recent Results

(2009) Yuriy A. Rossikhin et al.   Applied Mechanics Reviews