Moving load excited dynamics of multi-layered imperfect microplates based on various micromechanical models

International Journal of Engineering Science, Год журнала: 2024, Номер 197, С. 104017 - 104017

Опубликована: Фев. 2, 2024

This paper presents an investigation into the importance of micromechanical models in analysis forced vibrations multi-layered microplates under a moving load. The microplate has core fabricated from functionally graded materials and face sheets consisting metal foam. problem is modelled via quasi-3D shear deformable method modified couple stress theory. study assumes that material follows power gradation pattern. Various models, i.e., Hashin-Shtrikman bounds, Voigt-Reuss-Hill, Voigt, Reuss, Tamura, are applied to estimate characteristics core. sheets, composed foams, possess closed- open-cell solid porosities. System's response time history type determined by numerically solving coupled motion equations obtained using force-moment balance method. A finite element conducted for simplified macroplate system, agreement between numerical results, proposed theoretical approach theory developed this paper, found be very good. results show influence mechanical properties layer, consequently impacting moving-load excited microsystem.

Язык: Английский

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Dynamics of graphene origami-enabled auxetic metamaterial beams via various shear deformation theories

International Journal of Engineering Science, Год журнала: 2024, Номер 203, С. 104123 - 104123

Опубликована: Июль 27, 2024

Although auxetic metamaterials exhibit unique and unusual mechanical properties, such as a negative Poisson's ratio, their mechanics remains poorly understood. In this study, we model graded beam fabricated from graphene origami-enabled investigate its dynamics the perspective of different shear deformation theories. The metamaterial is composed multiple layers metamaterials, where content origami varies through layered thickness; both property other properties are varied in manner, which effectively be approximated via micromechanical models. Euler-Bernoulli, third-order, higher-order deformable refined theories adopted to continuous system. Following this, governing motion equations derived using Hamiltonian principle then numerically solved weighted residual method. obtained results provide comprehensive understanding how distribution pattern, folding degree, utilisation influence dynamic behaviour beam.

Язык: Английский

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A configuration-driven nonlocal model for functionally graded lattices

International Journal of Engineering Science, Год журнала: 2025, Номер 209, С. 104222 - 104222

Опубликована: Фев. 11, 2025

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Influence of Porosity on Thermal Free Vibration of Rotating Porous Sigmoid Functionally Graded Plate with Bi-Directional Thickness Variation

Journal of Vibration Engineering & Technologies, Год журнала: 2025, Номер 13(1)

Опубликована: Янв. 1, 2025

Язык: Английский

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Quasi-3D free and forced vibrations of poroelastic microplates in the framework of modified couple stress theory

Composite Structures, Год журнала: 2023, Номер 330, С. 117840 - 117840

Опубликована: Дек. 22, 2023

In this study, a comprehensive study on the vibration behaviour of functionally graded thick microplates with material imperfections is presented for free and forced vibrations within quasi-3D model modified couple stress (MCS) theory. Axial, transverse, rotation, stretching motions are considered modelling microplate in framework power-law scheme MCS theories. The deformation assumed to be infinitesimal modelled using linear strain–displacement relationships. Using virtual work method, governing motion equations derived. For fourfold coupled (axial-transverse-rotation-stretching) characteristics, partial differential components discretised via trigonometric expressions corresponding natural frequencies time histories (time-dependent deflections) determined numerically. methodology initially validated through comparative analysis between macrolevel simplified structure those obtained finite element software. Additionally, simulation compared, validation purposes, other versions from literature. Once model's validity confirmed, an investigation into conducted new model. results demonstrate considerable effect thickness imperfection characteristics poroelastic microplates.

Язык: Английский

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Analyzing of continuous and discontinuous contact problems of a functionally graded layer: theory of elasticity and finite element method

Mechanics Based Design of Structures and Machines, Год журнала: 2023, Номер 52(8), С. 5720 - 5738

Опубликована: Окт. 9, 2023

AbstractContact mechanics analysis is crucial because such problems often arise in engineering practice. When examining contact mechanics, the material property of contacting components a crucially significant aspect. It more complex to solve systems that are composed materials do not have homogenous structure compared homogeneous qualities throughout. While many studies on with exist, those involving non-homogeneous scarce literature. As technology improves fast, there will be greater need problems. In this respect, analytical and finite element method (FEM) solutions continuous discontinuous functionally graded (FG) layer carried out article. The FG problem rests rigid foundation pressed punch. From solutions, length, stress, initial separation distance, beginning ending points were determined, results compared. has been concluded FEM findings consistent satisfactory degree. This study analyzes using different approaches accounts for influence body force geometry yet reported.Keywords: Contact mechanicsfinite methodtheory elasticityfunctionally Disclosure statementThe authors declare no conflicts interest.Additional informationFundingNone.

Язык: Английский

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On a 3D material modelling of smart nanocomposite structures

International Journal of Engineering Science, Год журнала: 2023, Номер 193, С. 103966 - 103966

Опубликована: Окт. 13, 2023

Smart composites (SCs) are utilized in electro-mechanical systems such as actuators and energy harvesters. Typically, thin-walled components beams, plates, shells employed structural elements to achieve the mechanical behavior desired these composites. SCs exhibit various advanced properties, ranging from lower order phenomena like piezoelectricity piezomagneticity, higher effects including flexoelectricity flexomagneticity. The recently discovered flexomagneticity smart has been investigated under limited conditions. A review of existing literature indicates a lack evaluation three-dimensional (3D) elasticity analysis when flexomagnetic effect (FM) exists. To address this issue, governing equations will incorporate term ∂/∂z, where z represents thickness coordinate. variational technique guide us further developing equations. By using hypotheses theories 3D beam model, von Kármán's strain nonlinearity, Hamilton's principle, well-established direct converse FM models, we derive constitutive for thick composite beam. Conducting implies that gradient tensors must be expressed forms. inclusion ∂/∂z necessitates construction different model. It should noted current commercial finite element codes not equipped accurately adequately handle micro- nano-sized solids, thus making it impractical model structure programs. Therefore, transform derived characteristic linear bending into semi-analytical Polynomial domain obtain numerical results. This study demonstrates importance conducting analyses explore coupling multiple physical structures.

Язык: Английский

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On mechanics of piezocomposite shell structures

International Journal of Engineering Science, Год журнала: 2024, Номер 198, С. 104056 - 104056

Опубликована: Март 12, 2024

This study presents an original and novel investigation into the mechanics of piezo-flexo-magneto-elastic nanocomposite doubly-curved shells (PFMDCSs) ability to detect lower higher levels electro-magnetic fields. In this context, by utilizing first-order shear deformation shell model, stresses strains are acquired. By imposing Hamilton's principle von Kármán approach, governing equations have been obtained. The intelligent model consists size-dependent influences, viz., strain gradients. will take place via Mindlin's gradient elasticity theory subsequent re-establishing mathematical framework incorporating concept. results in a flexoelectric/flexomagnetic effect. converse effect magnetic field on basis close circuit has assumed. developed bending transferred algebraic ones substituting analytical technique based homogeneous immovable simple support for four edges. problem solved according Newton-Raphson iteration scheme, transverse deflections computed. For researching rightness precision models together with solution process, comparison is prepared finite element method (FEM) simplified shells, good correlation observed. At last, examining several factors problem, conditions under which effects can be noticeable dominant sought. could serve as benchmark reference piezoceramic-DCSs, presented original. most interesting outcome research that response structures entirely geometry-dependent.

Язык: Английский

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Effect of the magnetic field on the thermomechanical flexural wave propagation of embedded sandwich nanobeams

Mechanics Based Design of Structures and Machines, Год журнала: 2024, Номер 52(10), С. 7795 - 7827

Опубликована: Фев. 1, 2024

This work examines thermo-mechanical bending wave propagation in a sandwich nanobeam using advanced and nanolocal strain gradient elasticity theories. The is unique structure with biocompatible ceramic ZrO2 metal Ti6Al4V on the top bottom sides. Sandwich cores have functionally graded materials. combination gives distinctive qualities opens up many uses diverse industries. equation computed by applying Navier method to medium's thermal, Lorentz, viscoelastic equations of motion. analyzed four distinct models, taking into account its composition various factors that affect been extensively studied. In scenario where magnetic field intensity Hm = 0, an increase temperature difference causes frequency all models (except Model 2) decrease zero, resulting buckling. 2, exhibits phase velocity 0.43 Km/s at ΔT which subsequently decreases ∼9% 0.39 km/s 500. These include strength field, impact thermal loads, nonlocal effect, dimensions nanobeam, foundation's influence. findings this research will help build nanosensor systems can aerospace applications under extreme temperatures. contribute optimization design process, ensuring reliability functionality nanosensors severe conditions.

Язык: Английский

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Multi-Directional Functionally Graded Sandwich Plates: Buckling and Free Vibration Analysis with Refined Plate Models under Various Boundary Conditions

Computation, Год журнала: 2024, Номер 12(4), С. 65 - 65

Опубликована: Март 27, 2024

This study conducts buckling and free vibration analyses of multi-directional functionally graded sandwich plates subjected to various boundary conditions. Two scenarios are considered: a (FG) skin with homogeneous hard core, an FG soft core. Utilizing refined plate models, which incorporate parabolic distribution transverse shear stresses while ensuring zero on both the upper lower surfaces, equations motion derived using Hamilton’s principle. Analytical solutions for under diverse conditions developed presented. The obtained results validated against existing literature analyses. composition metal–ceramic-based materials varies longitudinally transversely, following power law. Various types considered, accounting symmetry layer thicknesses. investigation explores influence several parameters behaviors.

Язык: Английский

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