A comprehensive review on the vibration analyses of small-scaled plate-based structures by utilizing the nonclassical continuum elasticity theories

Nuhu, Abubakar Abdussalam; Safaei, Babak

doi:10.1016/j.tws.2022.109622

Cited by 27 publications

(2 citation statements)

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“…In a further comprehensive review published by the same authors, Nuhu and Safaei [28] discussed the vibrational analysis of nano/micro-scale (NMS) structure by utilizing the NCET. Moreover, the same authors published a further review study, Nuhu and Safaei [29] to investigate the NP/ microplate (MP) structure explored through implementing the NCET. Meanwhile, Yee and Ghayesh [30] presented a comprehensive review that focused on linear and NL solid mechanics analysis (theoretically and arithmetically) of GLP-reinforced composite plate, shell, and beam structures.…”

Section: Linear and Nonlinear Definition And Theoriesmentioning

confidence: 99%

“…28 The schematic of FGP-NU annular-NP based on WF [318] Fig. 29 The improvement of various BCs on the NF of Steel foam MSP structure a Uniform & b Symmetric [320] obtained by plates based on SGET, while the lowest was obtained by implementing the CPT. It is remarkable to mention that the various values of h/l in the case of utilizing the CPT have no evident influence on the FV.…”

Section: Analytical Solution With Considering the Sdementioning

confidence: 99%

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Computational Linear and Nonlinear Free Vibration Analyses of Micro/Nanoscale Composite Plate-Type Structures With/Without Considering Size Dependency Effect: A Comprehensive Review

Al Mahmoud,

Safaei,

Sahmani

et al. 2024

Arch Computat Methods Eng

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Recently, the mechanical performance of various mechanical, electrical, and civil structures, including static and dynamic analysis, has been widely studied. Due to the neuroma's advanced technology in various engineering fields and applications, developing small-size structures has become highly demanded for several structural geometries. One of the most important is the nano/micro-plate structure. However, the essential nature of highly lightweight material with extraordinary mechanical, electrical, physical, and material characterizations makes researchers more interested in developing composite/laminated-composite-plate structures. To comprehend the dynamical behavior, precisely the linear/nonlinear-free vibrational responses, and to represent the enhancement of several parameters such as nonlocal, geometry, boundary condition parameters, etc., on the free vibrational performance at nano/micro scale size, it is revealed that to employ all various parameters into various mathematical equations and to solve the defined governing equations by analytical, numerical, high order, and mixed solutions. Thus, the presented literature review is considered the first work focused on investigating the linear/nonlinear free vibrational behavior of plates on a small scale and the impact of various parameters on both dimensional/dimensionless natural/fundamental frequency and Eigen-value. The literature is classified based on solution type and with/without considering the size dependency effect. As a key finding, most research in the literature implemented analytical or numerical solutions. The drawback of classical plate theory can be overcome by utilizing and developing the elasticity theories. The nonlocality, weight fraction of porosity, or the reinforcements, and its distribution type of elastic foundation significantly influence the frequencies.

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Section: Linear and Nonlinear Definition And Theoriesmentioning

confidence: 99%