Analysing regular nonlinear vibrations of nano/micro plates based on the nonlocal theory and combination of reduced order modelling and multiple scale method

J Awrejcewicz, G Sypniewska-Kamińska… - Mechanical Systems and …, 2022 - Elsevier
We study the geometrically nonlinear vibrations of rectangular micro/nanoplates with an
account of small-scale effects in a framework of the nonlocal elasticity theory. Hamilton's …

[图书][B] Asymptotic multiple scale method in time domain: multi-degree-of-freedom stationary and nonstationary dynamics

J Awrejcewicz, R Starosta, G Sypniewska-Kamińska - 2022 - taylorfrancis.com
This book offers up novel research which uses analytical approaches to explore nonlinear
features exhibited by various dynamic processes. Relevant to disciplines across …

Double mode model of size-dependent chaotic vibrations of nanoplates based on the nonlocal elasticity theory

J Awrejcewicz, G Kudra, O Mazur - Nonlinear Dynamics, 2021 - Springer
In this paper vibrations of the isotropic micro/nanoplates subjected to transverse and in-
plane excitation are investigated. The governing equations of the problem are based on the …

The nonlocal elasticity theory for geometrically nonlinear vibrations of double-layer nanoplate systems in magnetic field

O Mazur, J Awrejcewicz - Meccanica, 2022 - Springer
The geometrically nonlinear vibrations of simply supported double-layer graphene sheet
systems under in-plane magnetic field are considered in the presented manuscript. The …

Nonlinear vibrations of embedded nanoplates under in-plane magnetic field based on nonlocal elasticity theory

O Mazur, J Awrejcewicz - Journal of …, 2020 - asmedigitalcollection.asme.org
Nonlinear vibrations of the orthotropic nanoplates subjected to an influence of in-plane
magnetic field are considered. The model is based on the nonlocal elasticity theory. The …

Vibrations and buckling of orthotropic small‐scale plates with complex shape based on modified couple stress theory

O Mazur, L Kurpa, J Awrejcewicz - ZAMM‐Journal of Applied …, 2020 - Wiley Online Library
Free vibrations of microplates with non‐classical shape are considered in the paper.
Governing equations are based on the modified couple stress theory and Kirchhoff–Love …

Study of Thermo-Viscoelastic Interactions in Microplates Resting on an Elastic Foundation and Subjected to External Loads Using DPL Thermoelastic Model

M Aldandani, A Abouelregal - Iranian Journal of Science and Technology …, 2024 - Springer
This work specifically examines the modeling of the transient thermodynamic reaction of a
Kirchhoff–Love thermoelastic thin circular plate that is simply supported and set on an elastic …

A new three-dimensional model for free vibration analysis of functionally graded nanoplates resting on an elastic foundation

M Najafi, I Ahmadi, V Sladek - Steel and Composite Structures, 2024 - koreascience.kr
This paper presents a three-dimensional displacement-based formulation to investigate the
free vibration of functionally graded nanoplates resting on a Winkler-Pasternak foundation …

Investigation of dynamic behaviour of circular plates resting on Winkler and Pasternak foundations

SA Salawu, GM Sobamowo, OM Sadiq - SN Applied Sciences, 2019 - Springer
Investigating the dynamic behaviour of circular plate resting on elastic foundations are very
important in designing of structural systems. This study examines the free vibration analysis …

Stable determination of the Winkler subgrade coefficient in a nanoplate

G Alessandrini, A Morassi, E Rosset, E Sincich… - arXiv preprint arXiv …, 2024 - arxiv.org
We study the inverse problem of determining the Winkler coefficient in a nanoplate resting
on an elastic foundation and clamped at the boundary. The nanoplate is described within a …