#7232. Nonlinear longitudinal vibrations in accreting one-dimensional nanostructures

October 2026publication date
Proposal available till 26-05-2025
4 total number of authors per manuscript0 $

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Journal’s subject area:
Ocean Engineering;
Applied Mathematics;
Aerospace Engineering;
Mechanical Engineering;
Control and Systems Engineering;
Electrical and Electronic Engineering;
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Abstract:
The investigation of a one-dimensional chain of atoms was carried out in this paper. A governing partial differential equation that describes the accreting nanocontinuum containing an attachment of infinite atoms was derived and analyzed. The method of lines was employed to obtain numerical approximate solutions for the nonlinear partial differential equations because their exact solutions proved difficult to obtain. Numerical simulations for both cases illustrated linear growth, which was observed via numerical simulation plots.
Keywords:
Nanostructures, longitudinal vibrations, nonlinear vibrations

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