[HTML][HTML] Two approaches for studying the impact response of viscoelastic engineering systems: An overview

YA Rossikhin, MV Shitikova - Computers & Mathematics with Applications, 2013 - Elsevier
Two approaches for studying the impact response of viscoelastic engineering structures are
considered by the example of the dynamic response of a viscoelastic Bernoulli–Euler beam …

Exact dynamic stiffness formulations and vibration response analysis of orthotropic viscoelastic plate built-up structures

X Liu, X Liu, S Adhikari - Computers & Structures, 2024 - Elsevier
The analytical damped dynamic stiffness formulation is developed for the dynamic response
analysis of orthotropic viscoelastic plate built-up structures with a general frequency …

A fractional viscoelastic model for vibrational analysis of thin plate excited by supports movement

J Rouzegar, M Vazirzadeh, MH Heydari - Mechanics Research …, 2020 - Elsevier
In this paper, a fractional viscoelastic model is presented for vibration analysis of a fully
simply supported plate excited by the supports movement. To govern the steady-state …

[HTML][HTML] Impact response of fractionally damped rectangular plates made of viscoelastic composite materials

H Teimouri, RT Faal, AS Milani - Applied Mathematical Modelling, 2025 - Elsevier
The paper aims to find dynamic response of fractionally damped rectangular viscoelastic
plates under low-velocity impact of a mass. The general fractional (Rubbery, Transition and …

Primary and secondary resonance responses of fractional viscoelastic PET membranes

J Qing, S Zhou, J Wu, M Shao - Communications in Nonlinear Science and …, 2023 - Elsevier
This paper considers nonlinear vibration of fractional viscoelastic Polyethylene
Terephthalate (PET) membranes subjected to external excitation. Particular attention has …

Shifted Legendre polynomials algorithm used for the numerical analysis of viscoelastic plate with a fractional order model

L Sun, Y Chen, R Dang, G Cheng, J Xie - Mathematics and Computers in …, 2022 - Elsevier
An effective numerical algorithm is presented to analyze the fractional viscoelastic plate in
the time domain for the first time in this paper. The viscoelastic behavior of the plate is …

Meshless simulations of the two-dimensional fractional-time convection–diffusion–reaction equations

A Shirzadi, L Ling, S Abbasbandy - Engineering analysis with boundary …, 2012 - Elsevier
The aim of this work is to propose a numerical approach based on the local weak
formulations and finite difference scheme to solve the two-dimensional fractional-time …

Nonlinear random vibrations of beams with fractional derivative elements

PD Spanos, G Malara - Journal of Engineering Mechanics, 2014 - ascelibrary.org
This paper deals with nonlinear random vibrations of a beam comprising a fractional
derivative element; the nonlinear term arises from the assumption of moderately large beam …

Chaotic vibrations of nonlinear viscoelastic plate with fractional derivative model and subjected to parametric and external excitations

PRN Tuwa, CH Miwadinou, AV Monwanou… - Mechanics Research …, 2019 - Elsevier
This paper deals with the analysis of chaotic vibrations of simply supported nonlinear
viscoelastic plate with fractional derivative model and subjected to parametric and external …

To the question on the correctness of fractional derivative models in dynamic problems of viscoelastic bodies

YA Rossikhin, MV Shitikova, AI Krusser - Mechanics research …, 2016 - Elsevier
The question is discussed on the possibility of utilization of such simplest fractional
derivative viscoelastic models as Kelvin-Voigt and standard linear solid models for the …