Title : Surface free energy effects on nonlocal nonlinear vibration of a hybrid carbon-boron-bitride nano-hetero-tube under initial stress in a thermo-magnetic environment
The current investigation focuses on the effects of surface free energy and nonlocality on the characteristics of nonlinear vibration of a single-walled carbon and boron-nitride nano-hetero-tubes under initial stress in a thermal-magnetic field environment. Erigen’s nonlocal elasticity, van der Waal forces equation, Euler-Bernoulli beam theories and Maxwell’s relations are adopted to develop the governing nonlinear equations of the dynamic responses of the carbon nanotubes with clamped-clamped supports. The numerical analysis of the equations was achieved through nonlinear finite element method. Although, the study is majorly directed to analyze the impacts of surface free energy and nonlocality on the vibration of the nanostructures, the effects of some other parameters that influence the dynamic behaviour of the hetero-nanostructure are also investigated. It is revealed by the results that the ratio of nonlinear frequency to linear frequency increases with increase in the negative value of the surface stress while it decreases when the positive value of the surface stress increases. Also, there is a recorded decrease in the frequency ratio when there is an increase in the magnetic field strength, nonlocal parameter, nanobeam length and thickness ratios of the hybrid nanobeam. The natural frequencies of the carbon-boron nanobeam gradually approach the nonlinear Euler–Bernoulli beam limit at high values of nonlocal parameter, nanobeam length and thickness ratios. An increase in temperature change at high temperature causes decrease in the nonlinear frequency ratio. However, at room or low temperature, the effect is completely opposite. The present numerical analysis will assist in the control and design of hybrid nanotubes operating in thermo-magnetic environment. Also, the study will serve as a beneficial reference for creative design of next-generation nano-devices made up of composite or hybrid nanotubes.
Audience Take Away:
- The paper will assist the audience on proper quantifications of the surface energy effect on the dynamic behaviour of dynamic behaviour of the hetero-nanostructure.
- The work will expose the audience to the mathematical modeling and computations of the surface energy effect on the dynamic behaviour of dynamic behaviour of the hetero-nanostructure.
- The audience will learn the effects of various other parameters on the surface effect on the dynamic behaviour of dynamic behaviour of the carbon-boron-nanostructure.
- The work will assist the audience in evaluating the surface energy effect and, effectively controlling the negative impacts internal and external factors on the vibration of carbon-boron-nanostructure.
- The results of the work can be used as a tool for designing and developing better hetero-nanostructure for various applications.