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

Transient vibrations of a fractional Zener viscoelastic cantilever beam with a tip mass

(2021) Jan Freundlich   MECCANICA

Free vibrations of laminate plates with viscoelastic layers using the refined zig-zag theory – Part 1. Theoretical background

(2021) Roman Lewandowski et al.   COMPOSITE STRUCTURES

Advanced materials modelling via fractional calculus: challenges and perspectives

(2020) Giuseppe Failla et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Dynamic response of plates resting on a fractional viscoelastic foundation and subjected to a moving load

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

On the use of complex numbers in equations of nonlinear structural dynamics

(2019) Sebastian Tatzko et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Comparison of different harmonic balance based methodologies for computation of nonlinear modes of non-conservative mechanical systems

(2019) Martin Jahn et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Analysis of dynamic characteristics of viscoelastic frame structures

(2019) Roman Lewandowski et al.   ARCHIVE OF APPLIED MECHANICS

Derivation of nonlinear damping from viscoelasticity in case of nonlinear vibrations

(2018) Marco Amabili   NONLINEAR DYNAMICS

Influence of Temperature on the Dynamic Characteristics of Structures with Viscoelastic Dampers

(2018) Roman Lewandowski   JOURNAL OF STRUCTURAL ENGINEERING

Vibration Prediction of Bladed Disks Coupled by Friction Joints

(2016) Malte Krack et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems

(2015) T. Detroux et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

No violation of the Leibniz rule. No fractional derivative

(2013) Vasily E. Tarasov   Communications in Nonlinear Science and Numerical Simulation

The continuation method for the eigenvalue problem of structures with viscoelastic dampers

(2013) Zdzisław Pawlak et al.   COMPUTERS & STRUCTURES

A high-order harmonic balance method for systems with distinct states

(2013) Malte Krack et al.   JOURNAL OF SOUND AND VIBRATION

On the influence of the initial ramp for a correct definition of the parameters of fractional viscoelastic materials

(2013) Mario Di Paola et al.   MECHANICS OF MATERIALS

On fallacies in the decision between the Caputo and Riemann–Liouville fractional derivatives for the analysis of the dynamic response of a nonlinear viscoelastic oscillator

(2012) Yury A. Rossikhin et al.   MECHANICS RESEARCH COMMUNICATIONS

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

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

Complex non-linear modal analysis for mechanical systems: Application to turbomachinery bladings with friction interfaces

(2009) Denis Laxalde et al.   JOURNAL OF SOUND AND VIBRATION

Harmonic Balance, Melnikov method and nonlinear oscillators under resonant perturbation

(2007) Michele Bonnin   INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS

A frequency-domain approach to the analysis of stability and bifurcations in nonlinear systems described by differential-algebraic equations

(2007) F. L. Traversa et al.   INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS