Exploring Nonlinear Dynamics and Stability of Embedded Carbon Nanotubes in Mechanical Engineering
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Exploring Nonlinear Dynamics and Stability of Embedded Carbon Nanotubes in Mechanical Engineering
Original language description
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 & eacute; maps. To enhance the study, we create Poincar & 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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
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Continuities
O - Projekt operacniho programu
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Archives of Computational Methods in Engineering
ISSN
1134-3060
e-ISSN
1886-1784
Volume of the periodical
32
Issue of the periodical within the volume
8
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
27
Pages from-to
4955-4981
UT code for WoS article
001507058700001
EID of the result in the Scopus database
2-s2.0-105005806032