Exploring Nonlinear Dynamics and Stability of Embedded Carbon Nanotubes in Mechanical Engineering

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10258149" target="_blank" >RIV/61989100:27740/25:10258149 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s11831-025-10289-6" target="_blank" >https://link.springer.com/article/10.1007/s11831-025-10289-6</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11831-025-10289-6" target="_blank" >10.1007/s11831-025-10289-6</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Exploring Nonlinear Dynamics and Stability of Embedded Carbon Nanotubes in Mechanical Engineering

Popis výsledku v původním jazyce

This study investigates the nonlinear free vibration of an embedded single-walled carbon nanotube using a continuum mechanics framework and an elastic beam model. The analysis incorporates the effects of rippling deformation, midplane stretching, and interactions with the surrounding elastic medium on the nonlinear dynamics of the system. The Khater method is used to derive exact analytical solutions, revealing novel soliton structures, including dark, bright, and kink soliton solutions, which characterize the amplitude-modulated wave behavior of the embedded carbon nanotube. A comprehensive bifurcation analysis uncovers distinct dynamical regimes that identify critical parameters such as rippling amplitude and elastic medium stiffness that dominantly influence nonlinear free vibration. We explore the chaotic analysis to demonstrate chaotic behavior and visualized the Poincar &amp; eacute; maps. To enhance the study, we create Poincar &amp; eacute; maps and Lyapunov exponents that illustrate the temporal evolution of trajectories in phase space. This makes it easier to see how change occurs between different dynamical regimes. Graphical illustrations highlight geometric nonlinearities, environmental constraints, and intrinsic instabilities, offering insights into the vibrational resilience and energy dissipation mechanisms of embedded carbon nanotube. In addition, we conducted a stability study of the examined model under various initial conditions. This work advances the understanding of nanoscale mechanical systems by bridging nonlinear dynamics, stability analysis, and advanced computational techniques, with implications for nano-resonator design and nanomaterial-based technologies.

Název v anglickém jazyce

Exploring Nonlinear Dynamics and Stability of Embedded Carbon Nanotubes in Mechanical Engineering

Popis výsledku anglicky

This study investigates the nonlinear free vibration of an embedded single-walled carbon nanotube using a continuum mechanics framework and an elastic beam model. The analysis incorporates the effects of rippling deformation, midplane stretching, and interactions with the surrounding elastic medium on the nonlinear dynamics of the system. The Khater method is used to derive exact analytical solutions, revealing novel soliton structures, including dark, bright, and kink soliton solutions, which characterize the amplitude-modulated wave behavior of the embedded carbon nanotube. A comprehensive bifurcation analysis uncovers distinct dynamical regimes that identify critical parameters such as rippling amplitude and elastic medium stiffness that dominantly influence nonlinear free vibration. We explore the chaotic analysis to demonstrate chaotic behavior and visualized the Poincar &amp; eacute; maps. To enhance the study, we create Poincar &amp; eacute; maps and Lyapunov exponents that illustrate the temporal evolution of trajectories in phase space. This makes it easier to see how change occurs between different dynamical regimes. Graphical illustrations highlight geometric nonlinearities, environmental constraints, and intrinsic instabilities, offering insights into the vibrational resilience and energy dissipation mechanisms of embedded carbon nanotube. In addition, we conducted a stability study of the examined model under various initial conditions. This work advances the understanding of nanoscale mechanical systems by bridging nonlinear dynamics, stability analysis, and advanced computational techniques, with implications for nano-resonator design and nanomaterial-based technologies.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

O - Projekt operacniho programu

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Archives of Computational Methods in Engineering

ISSN

1134-3060

e-ISSN

1886-1784

Svazek periodika

32

Číslo periodika v rámci svazku

8

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

27

Strana od-do

4955-4981

Kód UT WoS článku

001507058700001

EID výsledku v databázi Scopus

2-s2.0-105005806032