By Davood Domairry Ganji, Sayyid Habibollah Hashemi Kachapi
With Application of Nonlinear platforms in Nanomechanics and Nanofluids the reader profits a deep and practice-oriented figuring out of nonlinear structures inside components of nanotechnology software in addition to the required wisdom allowing the dealing with of such platforms. The ebook is helping readers comprehend suitable tools and strategies for fixing nonlinear difficulties, and is a useful reference for researchers, execs and PhD scholars drawn to study components and industries the place nanofluidics and dynamic nano-mechanical structures are studied or utilized. The e-book turns out to be useful in components corresponding to nanoelectronics and bionanotechnology, and the underlying framework can be utilized to different difficulties in a variety of fields of engineering and utilized sciences.
- Provides finished assurance of nano-dynamical structures and their really good strategies and functions within the context of nonlinear differential equations and analytical methods
- Enables researchers and engineers to higher version, interpret and keep watch over nanofluidics and different nano-dynamical structures and their software processes
- Explains nano-dynamical platforms through describing ‘real-life’ program case studies
Read or Download Application of Nonlinear Systems in Nanomechanics and Nanofluids: Analytical Methods and Applications PDF
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Extra info for Application of Nonlinear Systems in Nanomechanics and Nanofluids: Analytical Methods and Applications
Molecular dynamics (MD) methodÀsimulates CNTs accurately. , 2009). , 2007). The continuum modeling approach is much less computational effort and much cheaper than the MD simulations and experimental verification, respectively. The high elastic modulus of CNT (higher than 1 TPa) and remarkable bending flexibility (up to 20%) without breaking, exhibit new phenomena in bending vibration of nanotubes called rippling. The rippling affects directly on the resonant frequencies and elastic modulus of CNTs; for example, Wang et al.
15. Assume that the transverse displacement is w(x, t) in terms of the spatial coordinate x and the time variable t. , 2006). EI @4w @2w EA + ρA 2 + kw ¼ @x 4 @t 2l ðl 0 ! 45) can be written in the following form: M00 ðx, tÞ + ρA @2w EA + kw ¼ @t2 2l ðl 0 ! 46) where M(x, t) expresses the bending moment and M00 (x, t) the partial derivatives ð@ 2 Mðx, tÞÞ=@x2 . 47) When CNT bends, the rippling formation occurs specially for the relatively and locally large deformation. Because the bending curvature κ(x, t) is a function of the beam deflection w(x, t), it is necessary to get a nonlinear relation between M(x, t) and κ(x, t) from the full three-dimensional theory of finite deformation.
21 e ¼ 0Þ of CNT The effects of surrounding stiffness k and midplane stretching on the stability threshold ðω due to rippling deformation. 5 CONCLUSION Based on rippling deformation and midplane stretching, a nonlinear elastic beam model was presented for transverse vibration of a SWCNT embedded in an elastic foundation. Based on the analysis, it was observed that the influences of midplane stretching nonlinearity, elastic constant, and amplitude frequency on nonlinear frequency of the simply supported SWCNT with rippling deformation is significant.