Nonstationary stochastic response determination of nonlinear oscillators endowed with fractional derivatives

Survival probability of nonlinear oscillators endowed with fractional derivative element and subjected to evolutionary excitation: A stochastic averaging treatment with path integral concepts

(2021) Yuanjin Zhang et al.   PROBABILISTIC ENGINEERING MECHANICS

Harmonic wavelets based response evolutionary power spectrum determination of linear and non-linear oscillators with fractional derivative elements

(2016) Ioannis A. Kougioumtzoglou et al.   INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements

(2016) Pol D. Spanos et al.   JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME

A nonlinear and fractional derivative viscoelastic model for rail pads in the dynamic analysis of coupled vehicle–slab track systems

(2015) Shengyang Zhu et al.   JOURNAL OF SOUND AND VIBRATION

Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral

(2014) Alberto Di Matteo et al.   PROBABILISTIC ENGINEERING MECHANICS

Numerical solution of distributed order fractional differential equations

(2013) John T. Katsikadelis   JOURNAL OF COMPUTATIONAL PHYSICS

An identification approach for linear and nonlinear time-variant structural systems via harmonic wavelets

(2013) Ioannis A. Kougioumtzoglou et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

On the stochastic response of a fractionally-damped Duffing oscillator

(2012) Giuseppe Failla et al.   Communications in Nonlinear Science and Numerical Simulation

The BEM for numerical solution of partial fractional differential equations

(2011) John T. Katsikadelis   COMPUTERS & MATHEMATICS WITH APPLICATIONS

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

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

Application of fractional derivative models in linear viscoelastic problems

(2011) M. Sasso et al.   MECHANICS OF TIME-DEPENDENT MATERIALS

Harmonic wavelets based statistical linearization for response evolutionary power spectrum determination

(2011) P.D. Spanos et al.   PROBABILISTIC ENGINEERING MECHANICS

Stationary and non-stationary stochastic response of linear fractional viscoelastic systems

(2011) Mario Di Paola et al.   PROBABILISTIC ENGINEERING MECHANICS

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

Fractional calculus in viscoelasticity: An experimental study

(2009) F.C. Meral et al.   Communications in Nonlinear Science and Numerical Simulation

Identification of fractional-derivative-model parameters of viscoelastic materials from measured FRFs

(2009) Sun-Yong Kim et al.   JOURNAL OF SOUND AND VIBRATION

Numerical solution of multi-term fractional differential equations

(2009) J.T. Katsikadelis   ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik