Nonlinear vibration and modal analysis of FG nanocomposite sandwich beams reinforced by aggregated CNTs

Pourasghar, Amin; Chen, Zengtao

doi:10.1002/pen.25119

Cited by 19 publications

(5 citation statements)

References 46 publications

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“…To eliminate these drawbacks while keeping high‐level accuracy, Shu [ 43 ] proposed an efficient temporal discretization approach based on block‐marching in time and DQM discretization in both the spatial and temporal directions, as shown in Figure 2. [ 45 ] The same approach is used here to solve the nonlocal heat conduction in a nanostructure. More details of this procedure can be found in the literature.…”

Section: Solution Methodsmentioning

confidence: 99%

“…Even though the hyperbolic models have shown that the introduction of the phase‐lag of the temperature gradient may avoid the discontinuity of the temperature distribution, these models are unstable and share overshooting temperature. [ 45 ] In order to provide a realistic distribution of temperature and resolve the issues, we used modified version of the Hyperbolic heat conduction in which one more mechanism for the heat transfer, acting at the scales L , comparable with the phonon free path l is included. [ 34,35 ] This, in turn, leads to a minimized overshooting temperature, thus being able to get much closer to the realistic conditions.…”

Section: Nonlocal Heat Conductionmentioning

confidence: 99%

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Nonlocal heat conduction in single‐walled carbon nanotubes

et al. 2021

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This paper explores how reinforcing the hyperbolic heat conduction by the nonlocality affects temperature distribution in nanostructures such as nanobeam and single‐walled carbon nanotubes (SWCNTs). The work dissects the nonlocal heat conduction by advocating a thoroughly new application of the differential quadrature method. The nanobeam is modeled like a SWCNT (cylindrical shell), and the boundaries on the inner and outer sides are considered under a temperature jump at the nanoscale. The effects of several parameters on the temperature distribution through the thickness of the nanobeam are highlighted, including time‐dependent boundary conditions, time lag, nonlocal parameter, length, and radius of the hollow beam.

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Section: Solution Methodsmentioning

confidence: 99%

Section: Nonlocal Heat Conductionmentioning

confidence: 99%

Nonlocal heat conduction in single‐walled carbon nanotubes

et al. 2021

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“…To explore the adjustable system dynamics, a direct numerical solution to the parameter-varying equations with random excitation is unsuitable for stochastic response statistics under various spatial parameters. An analytical solution to the equations is an alternative [22][23][24][25][26][27]. Therefore, the analysis method and dynamics adjustability of the partial and ordinary differential coupling system for the visco-elastomer sandwich plate coupled with supported masses under random excitation through spatial periodicity strategy need to be studied further for dynamic optimization or vibration control.…”

Section: Introductionmentioning

confidence: 99%

Response Adjustability Analysis of Partial and Ordinary Differential Coupling System for Visco-Elastomer Sandwich Plate Coupled with Distributed Masses under Random Excitation via Spatial Periodicity Strategy

Ying

Ruan

2022

Symmetry

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Vibration control of composite structures coupled with distributed masses under random excitations is a significant issue. In this paper, partial and ordinary differential coupling equations are obtained from a periodic sandwich plate coupled with supported masses under random excitation. An analytical solution to the coupling equations is proposed, and the stochastic response adjustability of the system with various periodic distributions of geometrical and physical parameters is studied. Spatial periodic layer thickness and core modulus of the sandwich plate are considered based on the active–passive periodicity strategy. The periodically distributed masses are supported on the plate by coupling springs and dampers. Partial and ordinary differential coupling equations for the system including the periodic sandwich plate and supported masses are derived and then converted into unified ordinary differential equations for multi-mode coupling vibration. Generalized system stiffness, damping and mass are functions of the periodic parameters. Expressions of frequency response function and response spectral density of the system are obtained. Numerical results show the response adjustability via the spatially periodic geometrical and physical parameters. The results have the potential for application to dynamic control or optimization of sandwich structure systems.

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“…The nonlinear vibration of non-uniform beams and dynamic stability of sandwich beams on nonlinear elastic foundations have also been studied using the finite element and harmonic balance methods, Galerkin and iterative numerical methods, linearization and Chebyshev collocation methods, Bolotin method and Hamiltonian approach, respectively [50][51][52][53][54]. A differential quadrature method was applied to the nonlinear vibration analysis of sandwich beams where vibration modes were obtained using a numerical iterative algorithm [55,56]. Nonperiodic dynamics of complex systems with fractional derivatives have been studied [57,58].…”

Section: Introductionmentioning

confidence: 99%

Vibration Localization and Anti-Localization of Nonlinear Multi-Support Beams with Support Periodicity Defect

Ying

2021

Symmetry

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A response analysis method for nonlinear beams with spatial distribution parameters and non-periodic supports was developed. The proposed method is implemented in four steps: first, the nonlinear partial differential equation of the beams is transformed into linear partial differential equations with space-varying parameters by using a perturbation method; second, the space-varying parameters are separated into a periodic part and a non-periodic part describing the periodicity defect, and the linear partial differential equations are separated into equations for the periodic and non-periodic parts; third, the equations are converted into ordinary differential equations with multiple modes coupling by using the Galerkin method; fourth, the equations are solved by using a harmonic balance method to obtain vibration responses, which are used to discover dynamic characteristics including the amplitude–frequency relation and spatial mode. The proposed method considers multiple vibration modes in the response analysis of nonlinear non-periodic structures and accounts for mode-coupling effects resulting from structural nonlinearity and parametric non-periodicity. Thus, it can handle nonlinear non-periodic structures with a high parameter-varying wave in wide frequency vibration. In numerical studies, a nonlinear beam with non-periodic supports (resulting in non-periodic distribution parameters or periodicity defect) under harmonic excitations was explored using the proposed method, which revealed some new dynamic response characteristics of this kind of structure and the influences of non-periodic parameters. The characteristics include remarkable variation in frequency response and spatial mode, and in particular, vibration localization and anti-localization. The results have potential applications in vibration control and the support damage detection of nonlinear structures with non-periodic supports.

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Nonlinear vibration and modal analysis of FG nanocomposite sandwich beams reinforced by aggregated CNTs

Cited by 19 publications

References 46 publications

Nonlocal heat conduction in single‐walled carbon nanotubes

Nonlocal heat conduction in single‐walled carbon nanotubes

Response Adjustability Analysis of Partial and Ordinary Differential Coupling System for Visco-Elastomer Sandwich Plate Coupled with Distributed Masses under Random Excitation via Spatial Periodicity Strategy

Vibration Localization and Anti-Localization of Nonlinear Multi-Support Beams with Support Periodicity Defect

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