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

By Davood Domairry Ganji, Sayyid Habibollah Hashemi Kachapi

With Application of Nonlinear structures in Nanomechanics and Nanofluids the reader profits a deep and practice-oriented knowing of nonlinear platforms inside of parts of nanotechnology software in addition to the required wisdom permitting the dealing with of such platforms. The publication is helping readers comprehend suitable equipment and strategies for fixing nonlinear difficulties, and is a useful reference for researchers, execs and PhD scholars attracted to study parts and industries the place nanofluidics and dynamic nano-mechanical platforms are studied or utilized. The publication comes in handy in components comparable to nanoelectronics and bionanotechnology, and the underlying framework is additionally utilized to different difficulties in quite a few fields of engineering and utilized sciences.

  • Provides complete insurance of nano-dynamical structures and their really expert methods 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 program processes
  • Explains nano-dynamical structures by way of describing ‘real-life’ software case studies

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

Example text

According to the beam bending theory, we know that M(x, t) should be an odd function κ(x, t). 49) Based on the large deflection deformation, the relation between the bending curvature κ(x, t) and the beam deflection w(x, t) can be expressed as: κ ðx, tÞ ¼ h w00 ðx, tÞ 1 + w0 ðx, tÞ2 i3=2 3 2 15 4 ¼ w00 1 À ðw0 Þ + ðw0 Þ À ÁÁ Á 2 8 ! 3 2 ffi w00 ðx, tÞ 1 À ðw0 Þ 2 ! 46). 54) It satisfies the boundary conditions. 55), parameters, α1 and α3 are considered to analysis the effect of rippling deformation and also α2 to simulate the midplane stretching on vibration equation of motion for CNT embedded in an elastic medium.

In addition, the instability caused by rippling deformation and midplane stretching is introduced and the conditions causing this kind of instability are determined. 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 .

3) Increasing the Winkler constant (k) decreased the effects of the midplane stretching nonlinearity on the nonlinear frequency of the curved SWCNT. (4) Increasing the shear foundation modulus (kp) decreased the effects of midplane stretching nonlinearity on the nonlinear frequency of the curved SWCNT. (5) For a CNT with a small outer radius, the nonlinear frequency of a curved CNT was larger than that of a straight CNT. (6) A curved CNT with a large length had vibrational behavior that was close to that of a straight CNT.

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