Wave propagation analysis of rotating thermoelastically-actuated nanobeams based on nonlocal strain gradient theory

Ebrahimi, Farzad; Haghi, Parisa

doi:10.1016/j.camss.2017.09.007

Cited by 30 publications

(12 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Substituting Equation (10) into Equation ( 9), and multiplying the 𝑄 𝑛 ( ẑ) on both sides of Equation ( 9) with n from 0 to N-2, then integrating over z from 0 to 1, we have the following matrix equations:…”

Section: N-lpsamentioning

confidence: 99%

Formulation of SH wave characteristics in nonlocal nanoplates

Wang

Qiao

et al. 2022

Z Angew Math Mech

View full text Add to dashboard Cite

The scale effect of mechanical properties is one of the most critical issues in application of the nanostructures. In order to study the scale effect on SH waves in nanoplates, a Legendre polynomial series method combined with the nonlocal theory (N-LPSA) is developed in this paper. The presented method enables the boundary condition achieved quickly by the derived iterative solution formula of the integral, which contains nonlocal factors and Legendre polynomials.Besides, the formula of escape frequency is deduced analytically to facilitate the study of wave propagation law. Numerical comparisons show the correctness of the N-LPSA. The results indicate that cut-off frequencies of some higher-order modes are higher than their escape frequencies. The anisotropy with the nonlocal effects can lead to the intersection of the modal curves, which does not appear in classical structures. Moreover, the fitting formulas of cut-off and crossing frequencies are developed to predict the compression and the intersection of the modal curves, respectively.

show abstract

Section: N-lpsamentioning

confidence: 99%

Formulation of SH wave characteristics in nonlocal nanoplates

Wang

Qiao

et al. 2022

Z Angew Math Mech

View full text Add to dashboard Cite

show abstract

“…The analysis of vibrational behavior of rotating beam-like structures in the framework of classical theory, thanks to their significance in practical applications, has been an interesting and challenging question in recent decades. Some of these fundamental studies are conducted on homogenous rotating beam structures [32][33][34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Temperature-Dependent Physical Characteristics of the Rotating Nonlocal Nanobeams Subject to a Varying Heat Source and a Dynamic Load

et al. 2021

View full text Add to dashboard Cite

In this article, the influence of thermal conductivity on the dynamics of a rotating nanobeam is established in the context of nonlocal thermoelasticity theory. To this end, the governing equations are derived using generalized heat conduction including phase lags on the basis of the Euler–Bernoulli beam theory. The thermal conductivity of the proposed model linearly changes with temperature and the considered nanobeam is excited with a variable harmonic heat source and exposed to a time-dependent load with exponential decay. The analytic solutions for bending moment, deflection and temperature of rotating nonlocal nanobeams are achieved by means of the Laplace transform procedure. A qualitative study is conducted to justify the soundness of the present analysis while the impact of nonlocal parameter and varying heat source are discussed in detail. It also shows the way in which the variations of physical properties due to temperature changes affect the static and dynamic behavior of rotating nanobeams. It is found that the physical fields strongly depend on the nonlocal parameter, the change of the thermal conductivity, rotation speed and the mechanical loads and, therefore, it is not possible to neglect their effects on the manufacturing process of precise/intelligent machines and devices.

show abstract

“…Ebrahimi and Shafei [44] used Eringen's nonlocal theory to study the vibrational behaviour of rotating FG nano-beams. Ebrahimi and Haghi [45] studied the wave propagation performance of rotating FG temperature-dependent nanoscale beams under thermal loading based on a nonlocal SG stress field.…”

Section: Introductionmentioning

confidence: 99%