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Functionally graded (FG) laminated micro/nanostructures reinforced with graphene nanoplatelets (GPLs) stand as one of the most promising candidates for composite structures due to the excellent thermo-mechanical properties. Meanwhile, thermoelastic damping (TED) is one of the key factors to lower quality factor in micro/nanoresonators. Nevertheless, the classical TED models fail to explain the thermo-mechanical behavior considering the influences of the size-dependent effect and the thermal lagging effect. To fill these gaps, the present study aims to investigate TED analysis of FG laminated microplate resonators reinforced with GPLs in the frame of the modified strain gradient theory and the three-phase-lag heat conduction model. Four patterns of GPLs distribution including the UD, FG-O, FG-X and FG-A pattern distributions are taken into account, and the effective material properties of the plate-type nanocomposite are evaluated according to the Halpin–Tsai model. The energy equation and the motion equation based on the Kirchhoff microplate model are solved, and then, the closed-from analytical expression of TED is obtained by complex frequency technique. A detailed parametric study has been conducted to discuss the influence of the material length-scale parameter, the phase-lag parameters and the total weight fraction of GPLs on the TED. Results demonstrated that the energy dissipation of FG laminated microplate resonators reinforced with GPLs is determined by the size-dependent effect, the thermal lagging effect and the total weight fraction of GPLs. This results are helpful to the design of FG laminated microplate resonators reinforced with GPLs with high-performance for theoretical approach. [ABSTRACT FROM AUTHOR]

Integer-order thermoviscoelastic models may fail to give an accurate description of the thermomechanical behavior of viscoelastic materials, which inherently have the memory-dependent feature. Meanwhile, with the miniaturization of devices, the small-scale effect on elastic deformation is becoming increasingly significant. To better describe the memory-dependent effect and the small-scale effect in viscoelastic microstructures, this work focuses on developing a refined nonlocal thermoviscoelastic model by incorporating the fractional-order dual-phase-lag (DPL) heat-conduction model and the fractional-order strain model. Moreover, the Caputo–Fabrizio (CF) definition and the Tempered-Caputo (TC) definition of the fractional derivative without a singular kernel as well as the extension of the Caputo definition are adopted to reflect the memory-dependent effects of the heat conduction and the stress–strain relation for the first time, respectively. Then, this new model is applied to investigate the transient response of a viscoelastic microplate subjected to a sinusoidal thermal loading. The governing equations involving the modified parameters are formulated and then solved by the Laplace-transform method. Some parametric results are demonstrated to display the impacts of the fractional-order parameter, the fractional-order strain parameter and the nonlocal parameter on the considered physical quantities. The results show that the nonlocal effect and the memory-dependent effect strongly depend on the viscoelastic microstructure characteristics in a thermal environment. [ABSTRACT FROM AUTHOR]

With the rapid development and applications of micro/nano electromechanical systems in engineering fields, piezoelectric materials have been widely used in these systems due to their excellent physical and mechanical properties. Generally, these systems work in complex thermoelastic environments, to depict the thermal-electro-mechanical behaviors of piezoelectric material structures at microscale, the existing theories need to be developed due to the arising size-dependent effect, thermal relaxation effect and flexoelectric effect etc. To this end, the present work intends to generalize the size-dependent theories by considering the thermal-electro-mechanical coupling behaviors in piezoelectric material structures at microscale. Based on the nonlocal strain gradient theory and the generalized heat conduction model, a new model is established and the corresponding constitutive equations and the governing equations of equilibrium are derived. To illustrate the application of this new model, a piezoelectric micro-beam with flexoelectricity is considered and the closed form solutions of bending deflection and the free vibration response are obtained in terms of the boundary conditions. Based on the numerical results, the size-dependent effect, the piezo-flexoelectric effect and the thermal-lagging effect on the bending and vibration responses of the microbeam are examined and illustrated graphically. This work may be potentially helpful for the efficient, optimized and adaptive designs of the NEMS/MEMS devices. [ABSTRACT FROM AUTHOR]

Nano-batteries have been widely used in electric vehicles, new energy, and aerospace engineering since their high energy density, low manufacturing cost, and long cycle life. In recent years, there have been many papers that contributed to investigate the diffusion-mechanical coupling problems under non-uniform molar concentration environments (e.g., rapid charging, etc.). Nevertheless, the memory dependence of strain relaxation and mass transfer has not been considered yet. This paper aims to construct a unified fractional-order non-Fick mechanical-diffusion coupling model by introducing the fractional derivatives of the Caputo (C), Caputo–Fabrizio (CF), Atangana–Baleanu (AB), and Tempered-Caputo (TC) types. The proposed theoretical model is applied to investigate structural transient dynamic responses of multilayered composite laminates with imperfect interfacial conditions by Laplace transformation approach. The influences of different fractional derivatives, imperfect interfacial conditions, and materials constants ratios on the wave propagations and dynamic mechanical-diffusion responses are evaluated and discussed in detail. [ABSTRACT FROM AUTHOR]

This study presents a new strain measurement method based on an external symmetrical compensation bridge (ESCB) composed of strain gauges with a four-wire configuration. Unlike the traditional strain measurement methods, this method includes two features: first, utilising the four-wire configuration to eliminate measurement errors that occur due to large space-varying thermal and field imbalances of long signal wires during operation, and second, utilising two independent quarter-active sub-bridges with a four-wire configuration composed of ESCB to eliminate the errors that occur due to the large time-varying cryogenic temperature and magnetic field. This method was validated and used on a large-scale NbTi superconducting dipole magnet detector during the cooling, excitation, and quench tests. The strains measured using the ESCB were also compared with those measured using a traditional half-active compensation bridge. The observations showed that the ESCB method can overcome the interference of the temperature gradient and electromagnetic field of long wires during both cooling and electromagnetic excitation processes. In addition to the abrupt strain signal appearing when a quench occurred, high amplitudes occurring at high frequencies were observed at the onset of a quench based on the strain spectra analysis. Thus, the strain spectra are expected to provide a novel means for early quench warning. [ABSTRACT FROM AUTHOR]

As a main source of energy dissipation, thermoelastic damping (TED) cannot be ignored in designing resonators with high-quality factor. However, due to the size-dependent effect and the thermal relaxation, the TED models formulated in the classical theory are no longer able to accurately estimate the energy dissipation in the micro-/nano-resonators. To fill theses gaps, the present work aims at developing a new TED model for micro-plate resonators based on the modified couple stress theory incorporating memory-dependent derivative heat conduction model. The corresponding governing equations are derived, and the analytical solution for the TED is obtained. In order to discover the variation law of TED of micro-plate resonators, the numerical results corresponding to different materials and different theories are illustrated and compared. In calculation, the effects of the material parameters, the boundary conditions, the length scale parameters and the length on the peak value as well as the critical thickness of TED are further studied. It is expected that this novel model may provide a theoretical basis for designing high-performance micro-plate resonators under complex working conditions. [ABSTRACT FROM AUTHOR]

More realistic results of the random crowd-structural interaction dynamic response calculations are crucial for structural vibration analysis and control. And ignoring interactions is considered a conservative approach. This paper analyzes the effect of obstacles and semi-rigid boundary conditions on the random crowd-structure interaction vibration of the floor. The social force model is used to simulate crowd walking randomly in the room, and simulation results are matched with the dynamic calculation of the floor, thus establishing the time-varying dynamic calculation model of crowd-structure interaction. The differential quadrature method and mode analysis method are used to solve the dynamic equations. In addition, the effect of crowd random walking in an environment with obstacles on the time-varying parameters and dynamic response of the floor is discussed. The results show: (a) With the random walking of pedestrians, the floor fundamental frequency first decreases and then increases compared with the no-load, while the change of damping ratio is the opposite. Furthermore, the variation of floor fundamental frequency and damping ratio is greater in the empty classroom (without obstacles) than in the discussion room layout (with obstacles) due to the obstacles. (b) Analyzing the variation of the acceleration response of the floor under the two layouts, it can be found that the installation of obstacles can improve the human-induced vibration of the floor. (c) The vibration problem of the floor can be effectively improved by changing the stiffness ratio in semi-rigid constraint, which provides another idea for the vibration control of the floor. [ABSTRACT FROM AUTHOR]

Mechanical-diffusion coupling analysis at micro/nanotemporal and spatial scale has aroused great research interests with flourishing development of nanobattery system and fast rising of rapid charging technology, where the spatial nonlocal effects of mass transfer and elastic deformation as well as the influences of temporal nonlocal effects of mass transport (i.e., the phase laggings of diffusion flux vector and molar concentration gradient) will remarkably increase. In such cases, however, the accurate prediction of mechanical-diffusion responses is challenged: Firstly, the existing non-Fick diffusion–elasticity models are established by merely introducing mass diffusion model associated with the time rate of diffusion flux (i.e., phase laggings of diffusion flux); secondly, the spatial nonlocal effect of mass transfer is still not considered in the current on dual-phase-lag diffusion model. This work aims to develop a non-Fick diffusion–elasticity based on a new nonlocal dual-phase-lag diffusion model, which fully incorporates spatial and temporal nonlocal effects of mass transport. New constitutive and field equations are strictly derived via nonlocal continuum mechanics. To illustrate its application values, a one-dimensional isotropic homogeneous thin layer of finite thickness subjected to transient shock loadings of molar concentration is investigated. Dimensionless results are graphically presented to illustrate the effects of both nonlocal mass transfer and nonlocal elasticity on diffusive wave propagation and mechanical-diffusion responses. [ABSTRACT FROM AUTHOR]

In order to obtain the transient thermoelastic diffusion responses of porous materials heated by the ultrashort pulse laser, the focus of this work is to establish a generalized thermoelastic diffusion theory considering strain, thermal and diffusion relaxation effect within the thermodynamic framework. Firstly, we derive the governing equations of the linear generalized thermoelastic diffusion theory of porous media in the context of the thermodynamic laws. Secondly, the copper material with voids occupying a half-space heated by the ultrashort pulse laser is investigated based on the built theory. The bounding plane is assumed to be traction free and impacted by a non-Gaussian laser beam. The exact solutions of the governing equations are obtained by Laplace transformation and the numerical inverse Laplace transformation. Finally, the effect of strain relaxation factor, thermal relaxation factor, fractional order parameter, and laser parameters on non-dimensional temperature, displacement, stress, volume fraction field, and chemical potential is studied and presented graphically. [ABSTRACT FROM AUTHOR]

The relaxation process of viscoelastic materials has the memory-dependent effect, while integer-order thermo-viscoelastic models may be challenged to predict precise thermal–mechanical behaviors in solving transient problems of viscoelastic materials in a heat transfer environment. It is found that the fractional-order viscoelastic models fit well with the experimental data from creep and relaxation tests. Additionally, the size-dependent effect on elastic deformation is becoming an issue of great importance recently due to the development of small-scale devices. To capture the memory-dependent and size-dependent effects, the present work aims to formulate a modified fractional-order thermo-viscoelastic model at small-scale for the first time by simultaneously incorporating the effects of the unified definition of the fractional-order parameter, the unified definition of the fractional-order strain parameter and the nonlocal parameter based on the generalized thermo-viscoelastic theory. Then the dynamic response of a viscoelastic microplate under a thermal shock is studied by using the modified fractional-order thermo-viscoelastic model. The corresponding governing equations are formulated and solved by the Laplace transform and its numerical inversion. In conclusion, the influences of the fractional-order parameters, the fractional-order strain parameters and the nonlocal parameters on the variations of the considered quantities are presented and discussed in detail. The obtained results show that these parameters significantly influence the variations of all the considered quantities. [ABSTRACT FROM AUTHOR]

The applicability of stress–strain relation in classical viscoelasticity models is increasingly questionable in solving transient problems of viscoelastic materials. It is found that the fractional order viscoelastic models fit well with the experimental data from relaxation tests. Meanwhile, although the strain rate is small, which is often neglected in thermo-viscoelasticity models, it is not reasonable to neglect the strain rate in the case of ultrafast heating. In this work, a new generalized fractional order thermo-viscoelastic theory with fractional order strain is formulated by extending the existing thermo-viscoelastic theory. Then, this new theory is applied to investigating the dynamic response of an infinite thermo-viscoelastic medium containing a spherical cavity. The infinite medium is subjected to a thermal shock and a mechanical shock simultaneously at the inner surface of the cavity. The corresponding governing equations are formulated and then solved by the Laplace transform together with its numerical inversion. The distributions of the non-dimensional temperature, displacement, radial stress, and hoop stress are obtained and illustrated graphically. In calculation, the effects of the fractional order parameter, fractional order strain parameter, and mechanical relaxation parameter on the variations of the considered variables are presented and discussed in detail. [ABSTRACT FROM AUTHOR]

In this paper, to better reveal the surface effect and the screening effect as well as the nonlinear multi-field coupling characteristic of the multifunctional piezoelectric semiconductor (PS) nanodevice, and to further improve its working performance, a magneto-mechanical-thermo coupling theoretical model is theoretically established for the extensional analysis of a three-layered magneto-electro-semiconductor coupling laminated nanoplate with the surface effect. Next, by using the current theoretical model, some numerical analyses and discussion about the surface effect, the corresponding critical thickness of the nanoplate, and the distributions of the physical fields (including the electron concentration perturbation, the electric potential, the electric field, the average electric displacement, the effective polarization charge density, and the total charge density) under different initial state electron concentrations, as well as their active manipulation via some external magnetic field, pre-stress, and temperature stimuli, are performed. Utilizing the nonlinear multi-field coupling effect induced by inevitable external stimuli in the device operating environment, this paper not only provides theoretical support for understanding the size-dependent tuning/controlling of carrier transport as well as its screening effect, but also assists the design of a series of multiferroic PS nanodevices. [ABSTRACT FROM AUTHOR]

The layer-by-layer viscoelastic sandwich nanocomposites have been widely used as high-efficient shock absorbers in nano-engineering since its excellent performance in vibration isolation. Such structure often works in thermoelastic coupling condition, and a thorough and comprehensive investigation on its structural dynamic responses is imperatively needed to achieve the goal of improving heat isolation and avoiding unwanted vibration. In this work, an analytical study is conducted to investigate the structural dynamic responses of layer-by-layer viscoelastic sandwich nanocomposites based on nonlocal thermo-viscoelasticity theory. The two lateral bounding surfaces of the structure are subjected to the time-varying symmetric thermal shock loadings. It is assumed that thermal contact resistance and elastic wave impedance at the interface are zero with idealized adhesion. Governing equations of each homogeneous isotropic viscoelastic layer are derived and solved by a semi-analytical technique via Laplace transformation. The achieved results show that the heat isolation will be maximally improved and harmful thermal induced stress is lowered to some extent if properly selecting nonlocal parameters and material constants ratios. [ABSTRACT FROM AUTHOR]

Classical thermo-viscoelastic models may be challenged to predict the precise thermo-mechanical behavior of viscoelastic materials without considering the memory-dependent effect. Meanwhile, with the miniaturization of devices, the size-dependent effect on elastic deformation is becoming more and more important. To capture the memory-dependent effect and the size-dependent effect, the present study aims at developing a modified fractional-order thermo-viscoelastic coupling model at the micro-scale to account for two fundamentally distinct fractional-order models which govern the memory-dependent features of thermal conduction and stress-strain relation, respectively. Then, the modified theory is used to study the dynamic response of a polymer micro-rod heated by a moving heat source. The governing equations are obtained and solved by the Laplace transform method. In calculation, the effects of the fractional-order parameter, the fractional-order strain parameter, the mechanical relaxation parameter, and the nonlocal parameter on the variations of the considered variables are analyzed and discussed in detail. [ABSTRACT FROM AUTHOR]

Thermoelastic damping is a significant energy dissipation mechanism in nano-resonator, and exploring its feature would lay a foundation for designing high-quality nano-resonators. Due to the size-dependent effect and the non-Fourier heat conduction effect arising in structures in nanoscales, the traditional models may fail to characterize thermoelastic damping in nano-resonators. To further develop the thermoelastic damping model in small scales, a novel thermoelastic damping model is established in the present work based on the modified couple stress theory and the non-Fourier heat conduction law. Based on the novel model, the exact expression of thermoelastic damping is obtained by the complex frequency method. In calculation, the results are validated by degrading the present model to the classical model, and the effects of length scale parameters, boundary conditions, reference temperature, and vibration modes on thermoelastic damping are examined and discussed in detail. The obtained results show that the influence of the present model on the amount of thermoelastic damping and the critical thickness is significant in small scales. [ABSTRACT FROM AUTHOR]

For thermoviscoelastic behaviors limited to ultrashort laser pulse technologies, the Fourier's heat conduction law may fail; meanwhile, new models, e.g., the fractional-order heat conduction model, have been developed to modify Fourier's law. Furthermore, it is found that the fractional-order viscoelastic models fit well with the experimental data from relaxation tests. Meanwhile, with the miniaturization of devices, the size-dependent effect on elastic deformation is becoming increasingly important. This paper addresses the transient thermoviscoelastic response of a polymer micro-rod subjected to an ultrashort laser pulse heating including the simultaneous effects of the fractional order parameter and the nonlocal parameter for the first time. The governing equations are obtained and solved by the Laplace transform method. In calculation, the influences of the magnitude of the laser intensity, the fractional-order parameter and the nonlocal parameter on the variation of the considered variables are analyzed and discussed in detail. It is hoped that the obtained results will be helpful in designing the viscoelastic micro-structures induced by a short-pulse laser heating. [ABSTRACT FROM AUTHOR]

Elastoplastic nonlinear bending behaviors of ceramic–metal composite functionally graded material (FGM) beams are investigated using the symplectic method in Hamilton system with the classical beam theory. The mechanical properties of two-phase materials are assumed to be power function of the thickness, and the elastoplastic material properties of the FGM beams are given by the linear rule of mixtures. The bilinear hardening elastoplastic constitutive equations are established based on the Tamura–Tomota–Ozawa hybrid reinforcement model. And the von-Mises yield condition is introduced to judge whether the beams have entered the plastic deformation. The canonical equations are solved by the symplectic method, and the loads and deflections are transformed into the symplectic eigenvalues and symplectic eigensolutions in symplectic space and obtained by analytical solutions. Examples of bending behaviors varying with load, deflection, slenderness ratio and power law index are presented. The obtained results reveal that the zones of the elastic bending and the elastoplastic bending as well as the peak values of the deflections vary with material and geometric properties. [ABSTRACT FROM AUTHOR]

The size-dependent effect arising in micro/nano-structures has attracted considerable attention in academic and industrial communities. The theories developed to characterize such effect mainly include the nonlocal elasticity theory, the strain gradient theory, the modified coupled stress theory and the more recent nonlocal strain gradient elasticity etc. Meanwhile, the thermal-induced deformation or stress in micro/nano-structures is increasingly becoming a vital issue in their designs and applications. Nevertheless, theoretical investigations to predict the thermoelastic performances of micro/nano-structures are not so common, especially in the case of nonlocal strain gradient elasticity incorporating thermoelastic coupling effect. In present work, investigation of thermoelastic wave propagation in micro-beam is conducted in the context of the nonlocal strain gradient elasticity and the G-N theory, taking the thermoelastic coupling effect into account. The governing equations are formulated based on the Euler–Bernoulli beam model and the G-N theory. By assuming the wave-type solutions, the equations are solved and the dispersion relation between frequency and wave number and the relation between phase velocity and wave number are determined respectively. In calculation, the above two relations are fully investigated and comparisons on them under different theories are provided accordingly. Some new findings are presented and discussed in detail. It is hoped that the present work may provide some guidelines in designing and optimizing micro-structures. [ABSTRACT FROM AUTHOR]

In extreme heat transfer environments, functionally graded materials (FGMs) have aroused great concern due to the excellent thermal shock resistance. With the development of micro-scale devices, the size-dependent effect has become an important issue. However, the classical continuum mechanical model fails on the micro-scale due to the influence of the size-dependent effect. Meanwhile, for thermoelastic behaviors limited to small-scale problems, Fourier's heat conduction law cannot explain the thermal wave effect. In order to capture the size-dependent effect and the thermal wave effect, the nonlocal generalized thermoelastic theory for the formulation of an FGM microbeam is adopted in the present work. For numerical validation, the transient responses for a simply supported FGM microbeam heated by the ramp-type heating are considered. The governing equations are formulated and solved by employing the Laplace transform techniques. In the numerical results, the effects of the ramp-heating time parameter, the nonlocal parameter, and the power-law index on the considered physical quantities are presented and discussed in detail. [ABSTRACT FROM AUTHOR]

Nano-sized batteries composed of nanostructured electrode materials stand as one of the most promising candidates for next-generation rechargeable charging devices which have been widely used in the energy storage systems for advanced power applications. Buckling analysis of nanobeam under non-uniform concentration is significantly important for the design of nano-sized batteries under the rapid charging mode. In this work, such issue is investigated in the framework of the size-dependent mechanical–diffusion model, and size effect of mass transfer on buckling property is considered for the first time. By using the eigenvalue method, the critical buckling loads of Euler–Bernoulli nanobeam under the conditions of clamped–clamped, clamped–free, simply supported–simply supported and clamped–simply supported are analytically obtained. The derived results are compared with those of non-gradient nonlocal elastic stress theory, classical elasticity theory and classical theory of mass transfer. It is also found that the value of critical buckling load will be reduced if diffusive nonlocal parameter becomes larger. [ABSTRACT FROM AUTHOR]

To reveal the electro-viscoelastic performance of a tubular dielectric elastomer actuator, a dissipative model for the actuator is formulated by adopting the nonlinear theory of viscoelastic dielectrics. The actuator is made by rolling a layer of dielectric elastomer membrane into a tube, which is then fixed tightly with two rigid disks at top and bottom edges respectively. Once actuated by internal pressure and voltage, the tube inflates and deforms into an out-of plane shape, undergoing large deformation. To depict the deformation, the non-equilibrium thermodynamics is employed to derive the state equations and the governing equations, and to characterize the dissipative process, a rheological spring-dashpot model is applied to obtaining the kinetic equations. Numerical simulation is conducted by a joint use of the shooting method and the improved Euler method, and the variations of the considered variables and the profiles of the deformed tube are obtained and demonstrated graphically. The effects of the internal pressure, the voltage as well as the aspect ratio of the tube on the performance of the actuator are considered. The results show that for small pressure or small voltage, the actuator can eventually evolve into a stable state, while for large pressure or large voltage, the actuator can't reach a stable state due to the occurrence of purely mechanical instability or electromechanical instability. As for the aspect ratio, it significantly influences the performance of the actuator. It is hoped that the approach may provide a better understanding of the electro-viscoelastic performance of such actuators and some guidelines in designing such actuators. [ABSTRACT FROM AUTHOR]

The time-dependent electro-viscoelastic performance of a circular dielectric elastomer (DE) membrane actuator containing an inclusion is investigated in the context of the nonlinear theory for viscoelastic dielectrics. The membrane, a key part of the actuator, is centrally attached to a rigid inclusion of the radius a, and then connected to a fixed rigid ring of the radius b. When subject to a pressure and a voltage, the membrane inflates into an out-of-plane shape and undergoes an inhomogeneous large deformation. The governing equations for the large deformation are derived by means of non-equilibrium thermodynamics, and viscoelasticity of the membrane is characterized by a rheological spring-dashpot model. In the simulation, effects of the pressure, the voltage, and design parameters on the electromechanical viscoelastic behaviors of the membrane are investigated. Evolutions of the considered variables and profiles of the deformed membrane are obtained numerically and illustrated graphically. The results show that electromechanical loadings and design parameters significantly influence the electro-viscoelastic behaviors of the membrane. The design parameters can be tailored to improve the performance of the membrane. The approach may provide guidelines in designing and optimizing such DE devices. [ABSTRACT FROM AUTHOR]

Based on the generalized thermoelasticity proposed by Green and Lindsay, the dynamic response of generalized thermoelastic problems with temperature-dependent material properties is investigated. The governing equations are formulated and found to be nonlinear because of the temperature-dependence of properties. Owing to the nonlinearity of the governing equations, the finite element method is resorted to for solution. The results obtained show that the temperature-dependent properties influence the variables considered by reducing their magnitudes. This indicates that taking the temperature-dependence of properties into consideration in the investigation of generalized thermoelastic problems is necessary and practical for accurately predicting the thermoelastic behavior. [ABSTRACT FROM AUTHOR]

To accurately predict transient thermoelastic diffusion responses of the metallic solids in nanoscale heating condition, this work aims to establish a nonlocal dual-phase-lag Cattaneo-type thermoelastic diffusion theory by simultaneously consider the nonlocal effects of elastic deformation, heat and mass transport with the aid of Eringen’s nonlocal continuum mechanics. The proposed model is applied to investigate 1D transient dynamic response for copper-metallic layered structure by using eigenvalue approach. The influences of nonlocal characteristic lengths on the structural dynamic responses and wave propagations are evaluated and discussed. [ABSTRACT FROM AUTHOR]

In recent years, extensive studies on carbon nanotubes-reinforced composites (CNTRC) and graphene platelets-reinforced composites (GPLRC) have been conducted primarily within the framework of the classical elasticity or thermoelasticity. However, there lacks of researches on the thermoelastic behaviors of CNTRC/GPLRC structures based on the generalized thermoelasticity considering non-Fourier heat conduction, especially lacking of studies that address the microstructures of these materials incorporating nonlocal effects. To address this gap, this work applies the generalized thermoelastic theory, which incorporates dual-phase thermal relaxations, thermal nonlocality and elastic nonlocality, to investigating the thermoelastic vibration characteristics of a nanocomposite microbeam reinforced by both GPLs and CNTs. The Halpin–Tsai micromechanical model is used to evaluate the effective elastic modulus of the composite microbeam, which is then analyzed using the Euler–Bernoulli beam model and solved via Navier’s method to determine the natural frequency. In calculation, the unidirectional distribution and three different functionally graded (FG) distributions of CNTs and GPLs, i.e., FG-A, FG-X and FG-O and also the influences of the nonlocal parameters, the volume fraction indices and the mass fractions of GPLs and CNTs on the natural frequencies are examined. The obtained results show that FG-A type significantly influences the natural frequency. The inclusion of GPLs and CNTs in the epoxy resin matrix markedly increases the natural frequency of the microbeam, with hybrid reinforcement being superior to GPLRC and CNTRC. The nonlocal elasticity parameter negatively correlates with the natural frequency, while the mass fraction and volume fraction index of GPLs and CNTs positively correlate with the natural frequency. [ABSTRACT FROM AUTHOR]