Journal ArticleDOI
A wave-based computational method for free vibration, wave power transmission and reflection in multi-cracked nanobeams
TLDR
In this paper, the wave propagation method and the nonlocal elasticity theory are utilized to analyze the vibration, wave power transmission and reflection in multi-cracked Euler-Bernoulli nanobeams.Abstract:
In this paper, the wave propagation method and the nonlocal elasticity theory are utilized to analyze the vibration, wave power transmission and reflection in multi-cracked Euler-Bernoulli nanobeams. This aim is pursued by deriving the propagation, reflection and transmission matrices and comparing the natural frequencies obtained by these matrices with the available results in the literature. Then, the nonlocal and crack-severity effects on the natural frequencies are presented for some combinations of the boundary conditions. Finally, the effects of nonlocal and crack-severity parameters on the reflected and transmitted power of a wave incident upon a crack location are studied in details for cracked nanobeams. The results obtained via the reflection and transmission matrices will provide valuable insights into the subject of wave power reflection and transmission analysis in nanoscale structures for the future. The computer coding of the proposed method is much easier than the classical vibration analysis methods for similar analyses which makes it more appropriate in implementation.read more
Citations
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Journal ArticleDOI
Stress-driven two-phase integral elasticity for torsion of nano-beams
TL;DR: In this paper, an effective torsional model is proposed by convexly combining the purely nonlocal integral stress-driven relation with a local phase, which leads to well-posed elastostatic problems in all cases of technical interest.
Journal ArticleDOI
Thermal vibration analysis of cracked nanobeams embedded in an elastic matrix using finite element analysis
TL;DR: In this paper, a finite element (FE) model is proposed to study the thermal transverse vibrations of cracked nanobeams resting on a double-parameter nonlocal elastic foundation.
Journal ArticleDOI
Free vibration and wave power reflection in Mindlin rectangular plates via exact wave propagation approach
TL;DR: In this article, a wave propagation method is employed to exactly derive resonant frequencies and wave power reflection from different classical boundary conditions, and the frequency results are compared with other literature to validate the exact proposed wave solution.
Journal ArticleDOI
Nonlocal second-order strain gradient elasticity model and its application in wave propagating in carbon nanotubes
TL;DR: In this paper, a nonlocal second-order strain gradient elasticity model is established by introducing the second order strain gradient field with nonlocal effect into the stored energy function of nonlocal first-order straining elasticity theory with the aids of the laws of thermodynamics.
Study on free vibration analysis of circular cylindrical shells using wave propagation
TL;DR: In this article, a wave propagation approach is presented for free vibration analysis of circular cylindrical shell, based on the classical thin shell theory, and the validity and accuracy of the wave approach is studied in detail, including aspects of frequencies,vibration shapes and wave numbers.
References
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Book
Nonlocal Continuum Field Theories
AC Eringen,JL Wegner +1 more
TL;DR: Memory-dependent nonlocal nonlocal Electromagnetic Elastic Solids as mentioned in this paper have been shown to be memory-dependent on nonlocal elasticity and nonlocal linear elasticity, as well as nonlocal Linear Elasticity and Nonlocal Fluid Dynamics.
Journal ArticleDOI
Nonlocal continuum theories of beams for the analysis of carbon nanotubes
J. N. Reddy,Sze Dai Pang +1 more
TL;DR: The equations of motion of the Euler-Bernoulli and Timoshenko beam theories were reformulated using the nonlocal differential constitutive relations of Eringen [International Journal of Engineering Science 10, 1−16 (1972) as mentioned in this paper.
Journal ArticleDOI
Free vibration analysis of functionally graded size-dependent nanobeams
TL;DR: Free vibration analysis of functionally graded (FG) size-dependent nanobeam using finite element method to show the significance of the material distribution profile, nonlocal effect, and boundary conditions on the dynamic characteristics of nanobeams.
Journal ArticleDOI
Stress-driven versus strain-driven nonlocal integral model for elastic nano-beams
TL;DR: In this article, a stress-driven integral constitutive law is proposed to solve the nonlocal elasticity problem in plane and straight nano-beams. But the model is not suitable for the structural design of nano-devices.
Journal ArticleDOI
Variational formulation and finite element analysis for nonlocal elastic nanobeams and nanoplates
J. K. Phadikar,Santosh Pradhan +1 more
TL;DR: In this paper, finite element formulations for nonlocal elastic (i) Euler-Bernoulli beam and (ii) Kirchoff plate have been reported and the results are in good agreement with those reported in the literature.
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