Application of Nonlinear Systems in Nanomechanics and by Davood Domairry Ganji, Sayyid Habibollah Hashemi Kachapi

By Davood Domairry Ganji, Sayyid Habibollah Hashemi Kachapi

With Application of Nonlinear structures in Nanomechanics and Nanofluids the reader earnings a deep and practice-oriented knowing of nonlinear structures inside of components of nanotechnology software in addition to the mandatory wisdom allowing the dealing with of such platforms. The publication is helping readers comprehend appropriate equipment and methods for fixing nonlinear difficulties, and is a useful reference for researchers, execs and PhD scholars attracted to learn components and industries the place nanofluidics and dynamic nano-mechanical platforms are studied or utilized. The e-book comes in handy in parts comparable to nanoelectronics and bionanotechnology, and the underlying framework is usually utilized to different difficulties in numerous fields of engineering and utilized sciences.

  • Provides accomplished assurance of nano-dynamical platforms and their really good procedures and purposes within the context of nonlinear differential equations and analytical methods
  • Enables researchers and engineers to higher version, interpret and keep an eye on nanofluidics and different nano-dynamical structures and their program processes
  • Explains nano-dynamical structures by way of describing ‘real-life’ program case studies

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Additional resources for Application of Nonlinear Systems in Nanomechanics and Nanofluids: Analytical Methods and Applications

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2004). In their analysis, FEM was used to describe the deformation of the individual nanotube. 4), mesh grid is 100 points (GDQ). 4), mesh grid is 100 points (GDQ). 4) by mesh grid with 100 points (GDQ). 4 (nm) diameter. 10. 4 (nm) diameter. 11. 4 CONCLUSION The deformation of individual SWCNT located over a bundle of nanotube is analyzed based on small deformation theory and the Euler beam theory. The van der Waals forces are significant in SWCNTs which are located closely. Influence of the length and diameter of the individual SWCNT beside the curvature of substrate on deformation behavior of the single SWCNTs is shown.

Additionally, for small values of kp, the effects of the shear (Pasternak) foundation on the nonlinear frequency of the straight CNT were larger than those of the curved CNT. Thus, for the same value of kp, the graph shows a higher curve for the curved CNT relative to the straight CNT. The cause of this difference is the amplitude of CNT’s waviness. According to the graph, the difference between the curves for curved and straight CNTs decreases as the value of kp increases. 27 shows the influence of the outer radius on the effects of the amplitude of CNT’s waviness and midplane stretching on the nonlinear frequency of the C-C SWCNT.

This method does not require linearization or a small parameter like the normal perturbation technique. Finally, the results will reveal the simplicity of the method. , 2010): J ðT ð t Þ Þ ¼ ðt 0 1 T ðtÞ2 α2 α3 + T ðtÞ3 + T ðtÞ4 À À T_ðtÞ2 + α1 2 3 4 2 ! , the frequency ω of oscillation, a. 71), and ω2 ¼ α1 . 1 nm) (Batra and Gupta, 2008). 23 shows the results that were obtained with the present theoretical approach for the influence of the midplane stretching nonlinearity and the amplitude of CNT’s waviness on the amplitude frequency response curves for the force vibration of a CNT embedded in an elastic Pasternak-type medium.

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