Buy article PDF
The purchased file will be sent to you
via email after the payment is completed.
US$ 35
|
Advances in Nano Research Volume 16, Number 3, March 2024 , pages 273-288 DOI: https://doi.org/10.12989/anr.2024.16.3.273 |
|
|
|
Comprehensive study of internal modals interactions: Comparison of various axial nonlinear beam theories |
||
Somaye Jamali Shakhlavi and Reza Nazemnezhad
|
||
| Abstract | ||
| The geometrical nonlinear vibrations of the gold nanoscale rod are investigated for the first time by considering the internal modals interactions using different nonlinear beam theories. This phenomenon is usually one of the important features of nonlinear vibration systems. For a more detailed analysis, the von-Kármán effects, preserving all the nonlinear terms in the strain-displacement relationships of gold nanoscale rods in three displacement directions, are considered to analyze the nonlinear axial vibrations of gold nanoscale rods. It uses highly accurate analytical-numerical solutions for the clamped-clamped and clamped-free boundary conditions of nanoscale gold rods. Also, with the help of Hamilton's principle, the governing equation and boundary conditions are derived based on Eringen's theory. The influence of nonlinear and nonlocal factors on axial vibrations was investigated separately for all three theories: Simple (ST), Rayleigh (RT) and Bishop (BT). Using different theories, the effects of inertia and shear on the internal resonances of gold nanorods were studied and compared in terms of two-to-one and three-to-one internal resonances. As the nonlocal parameter of the gold nanorod increases, the maximum nonlinear amplitude occurs. So, by adding nonlocal effects in a gold nanorod, the internal modal interactions resulting from the unique structure can be enhanced. It is worth noting that shear and inertial analysis have a significant effect on internal modal interactions in gold nanorods. | ||
| Key Words | ||
| gold nanoscale rod; internal modals interactions; nonlinear axial vibrations; nonlocal theory | ||
| Address | ||
| Somaye Jamali Shakhlavi: School of Engineering, Damghan University, Damghan, Iran/ School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran Reza Nazemnezhad: School of Engineering, Damghan University, Damghan, Iran | ||