Small scale effect on vibrational response of single-walled carbon nanotubes with different boundary conditions based on nonlocal beam models

R Ansari, S Sahmani - … in Nonlinear Science and Numerical Simulation, 2012 - Elsevier
The free vibration response of single-walled carbon nanotubes (SWCNTs) is investigated in
this work using various nonlocal beam theories. To this end, the nonlocal elasticity …

[BUKU][B] Introduction to asymptotic methods

DY Gao, VA Krysko - 2006 - taylorfrancis.com
Among the theoretical methods for solving many problems of applied mathematics, physics,
and technology, asymptotic methods often provide results that lead to obtaining more …

Nonlinear behaviour of different flexible size-dependent beams models based on the modified couple stress theory. Part 1: Governing equations and static analysis of …

AV Krysko, J Awrejcewicz, MV Zhigalov… - International Journal of …, 2017 - Elsevier
In the first part of the paper we employ the Sheremetev-Pelekh-Reddy-Levinson hypotheses,
which yield a non-linear mathematical model of a beam taking into account geometric and …

Routes to chaos in continuous mechanical systems. Part 1: Mathematical models and solution methods

J Awrejcewicz, VA Krysko, IV Papkova… - Chaos, Solitons & …, 2012 - Elsevier
In this work chaotic dynamics of continuous mechanical systems such as flexible plates and
shallow shells is studied. Namely, a wide class of the mentioned objects is analyzed …

[BUKU][B] Chaos in structural mechanics

J Awrejcewicz, VA Krysko - 2008 - Springer
This monograph is devoted to construction of novel theoretical approaches of modeling non-
homogeneous structural members as well as to development of new and economically …

Detection of changes in cracked aluminium plate determinism by recurrence analysis

J Iwaniec, T Uhl, WJ Staszewski, A Klepka - Nonlinear Dynamics, 2012 - Springer
The paper investigates changes in determinism of undamaged and cracked aluminium
plates with respect to excitation frequencies. Harmonic excitation of frequencies …

Analysis of the nonlinear dynamics of the Timoshenko flexible beams using wavelets

J Awrejcewicz, AV Krysko, V Soldatov, VA Krysko - 2012 - asmedigitalcollection.asme.org
Regular and chaotic dynamics of the flexible Timoshenko-type beams is studied using both
the standard Fourier (FFT) and the continuous wavelet transform methods. The governing …

Chaotic vibrations in flexible multi-layered Bernoulli-Euler and Timoshenko type beams

J Awrejcewicz, AV Krysko, MV Zhigalov… - Latin American Journal …, 2008 - lajss.org
Abstract NUMERICAL INVESTIGATIONS OF TRANSVERSALLY DRIVEN BEAMS ARE
CARRIED OUT VERSUS CONTROL PARAMETERS, IE AMPLITUDE AND FREQUENCY OF …

Size-dependent theories of beams, plates and shells

J Awrejcewicz, AV Krysko, MV Zhigalov… - … modelling and numerical …, 2021 - Springer
This chapter concerns the latest literature review devoted to micro/nanosize-dependent
mathematical models of beams, plates and shells. The review includes nonlocal theory of …

Chaotic dynamics of flexible beams driven by external white noise

J Awrejcewicz, AV Krysko, IV Papkova… - … Systems and Signal …, 2016 - Elsevier
Mathematical models of continuous structural members (beams, plates and shells)
subjected to an external additive white noise are studied. The structural members are …