Wave propagation and vibration in intelligent nanoplates: A mechanical modeling approach

Karimi, Morteza; Rafieian, Salman; Farajpour, Mohammad Reza; Miles, Ronald N.; Salehipour, Hamzeh; Jazar, Reza N.; Khayyam, Hamid

doi:10.1080/15397734.2021.1890613

Cited by 5 publications

(3 citation statements)

References 50 publications

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“…The results obtained by traditional deterministic analysis may not well meet the expected vehicle dynamic performances, or even the dynamic performances are completely changed with uncertain parameters. Specifically, uncertainty analysis is crucial for accurate identification of nonlinear dynamic systems of vehicles [7][8][9]. To guarantee vehicle integrity and prevent the occurrence of mechanical failures in severe environments, it is imperative to consider variables of uncertainty within the realm of vehicle dynamics studies.…”

Section: Introductionmentioning

confidence: 99%

Uncertain vibration response of vehicles passing through barricades based on approximate models

Sun,

Wang

2024

Eng. Res. Express

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In vibration analysis, a vehicle system encounters dimensionality issues due to its high-dimensional uncertain parameters. An approximate model offers a viable solution for analyzing such uncertain responses. This study introduces an efficient approximate model, called PCE-HDMR, which is founded on the Legendre Polynomial Chaos Expansion (PCE) and High-Dimensional Model Representation (HDMR). Specifically, the Legendre PCE in interval space is employed to delineate the lower and upper bounds of uncertain responses. At the same time, the HDMR is harnessed to develop a high-dimensional uncertainty model that approximates the dynamic response. To demonstrate the application of PCE-HDMR, a model for a vehicle with interval parameters was constructed using a 9-DOF dynamics model for testing. In this framework, all stiffness and damping parameters are treated as interval uncertainty parameters. The numerical results validate the effectiveness of the proposed method for high-dimensional uncertain parameters, demonstrating that PCE-HDMR outperforms Monte Carlo simulation (MCS) in terms of efficiency. This study advances an effective interval uncertainty analysis approach for assessing vehicle performance, particularly when dealing with high-dimensional interval uncertainty parameters. The proposed method serves as a viable alternative for interval analysis and subsequent optimization design for complex vehicle systems characterized by high-dimensional uncertain parameters.

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Section: Introductionmentioning

confidence: 99%

Uncertain vibration response of vehicles passing through barricades based on approximate models

Sun,

Wang

2024

Eng. Res. Express

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“…The thermoelastic interactions subjected to varying magnetic field and temperature at different times are analysed [97]. Morteza Karimi et al (2021) studied the wave propagation and vibration in double-layered magneto-electro-viscoelastic nanoplates to analyse the significance of surface layer changes according to modified couple stress [100]. Mehran Safarpour et al (2021) investigated the frequency characteristics of a functionally graded graphene platelet reinforced compositeporous circular/annular plates subjected to various boundary conditions [99].…”

Section: Introductionmentioning

confidence: 99%

Impacts of Length Scale Parameter on Material Dependent Thermoelastic Damping in Micro/nanoplates Applying Modified Coupled Stress Theory

Resmi

BABU

BAIJU

2022

mech

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Among the different energy dissipation mechanisms, thermoelastic damping plays a vital role and need tobe alleviated in resonators inorder to enhance its performance parameters by improving its thermoelastic dampinglimited qualityfactor, QTED. The maximum energy dissipation is also interrelated with critical length (???????? ) of theplates and by optimizing the dimensions the peaking of energy dissipation can be diminished. As the size of thedevices is scaled down, classical continuum theories are not able to explain the size effect related mechanicalbehavior at micron or submicron levels and as a result non-classical continuum theories are pioneered with theinception of internal length scale parameters. In this paper, analysis of isotropic rectangular micro-plates based onKirchhoff model applying Modified Coupled Stress Theory is used toanalyzethe size-dependent thermoelasticdamping and its impact on quality factor and critical dimensions.Hamilton principle is adapted to derive thegoverning equations of motion and the coupled heat conduction equation is employed to formulate the thermoelasticdamping limited quality factor of the plates. Five different structural materials (PolySi, Diamond,Si, GaAs andSiC)are used for optimizing QTED which depends on the materialperformance index parameters. ThermoelasticDamping Index [TDI] and thermal diffusion length, lT. According to this work, the maximum QTED is attained forPolySi with the lowest TDI and Lcmax is obtained for SiC which is having the lowest lT. The impact of lengthscaleparameters (l), vibration modes, boundary conditions (Clamped–Clamped and Simply Supported), and operatingtemperatures on QTED and Lcare also investigated. It is concluded that QTED is further maximized by selecting lowtemperatures and higher internal length scale parameters (l).The prior knowledge of QTED and Lchelp the designers tocome out with high performance low loss resonators.

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“…[3][4][5] The mechanical properties of thin-walled micro/nanostructures have been extensively studied through numerous numerical and analytical methods in the open literature. [6][7][8][9][10][11] In this regard, Amir et al 12 analyzed size-dependent MEE vibration of functionally graded (FG) saturated porous annular/circular micro sandwich plates embedded with nano-composite face-sheets. In their study, the generalized differential quadrature (GDQ) method was utilized as an accurate and efficient numerical technique to solve the equation of motion.…”

Section: Introductionmentioning

confidence: 99%

Size-dependent free vibration and buckling analysis of magneto-electro-thermo-elastic nanoplates based on the third-order shear deformable nonlocal plate model

Gholami

Ansari

Gholami

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this paper, a size-dependent nanoplate model is developed to describe the free vibration and buckling behaviors of magneto-electro-thermo-elastic (METE) rectangular nanoplates. It is assumed that the METE nanoplate is subjected to external electric voltage, external magnetic potential, and uniform temperature rise. The nonlocal elasticity theory along with the third-order shear deformation plate theory is employed for the size-dependent mathematical modeling of nanoplates. The presented model has two advantages over available models: (1) the need for the correction factor is bypassed and (2) it can be successfully applied to thick nanoplates. The governing equations and the corresponding boundary conditions are derived using the Hamilton’s principle which are then discretized on the space domain based on the generalized differential quadrature (GDQ) method. Afterward, an efficient numerical Galerkin procedure is adopted to reduce the discretized equations into Duffing-type ordinary differential equations. Numerical results are presented to examine the influences of nonlocal parameter, length-to-thickness ratio, temperature rise, external electric potential, external magnetic potential and type of boundary condition on the free vibration, and buckling behaviors of METE nanoplates. It is revealed that frequency and critical buckling load of nanoplates are dependent on magneto-electro-mechanical loadings, whereas they are less dependent on thermal loading.

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Wave propagation and vibration in intelligent nanoplates: A mechanical modeling approach

Cited by 5 publications

References 50 publications

Uncertain vibration response of vehicles passing through barricades based on approximate models

Uncertain vibration response of vehicles passing through barricades based on approximate models

Impacts of Length Scale Parameter on Material Dependent Thermoelastic Damping in Micro/nanoplates Applying Modified Coupled Stress Theory

Size-dependent free vibration and buckling analysis of magneto-electro-thermo-elastic nanoplates based on the third-order shear deformable nonlocal plate model

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