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thermal vibration of functionally graded porous nanocomposite beams reinforced by graphene platelets

Applied Mathematics and Mechanics(English Edition) 2020年第8期41卷 1209-1226页

作者： M.H.YAS S.RAHIMI Department of Mechanical Engineering Razi UniversityKermanshah 67346-67149Iran

The thermal vibration of functionally graded(FG)porous nanocomposite beams reinforced by graphene platelets(GPLs)is *** beams are exposed to the thermal gradient with a multilayer *** temperature varies linearly across the thickness *** different types of dispersion patterns of GPLs as well as porosity distributions are *** material properties vary along the thickness *** using the mechanical parameters of closed-cell cellular solid,the variation of Poisson’s ratio and the relation between the porosity coefficient and the mass density under the Gaussian random field(GRF)model are *** using the Halpin-Tsai micromechanics model,the elastic modulus of the nanocomposite is *** equations of motion based on the Timoshenko beam theory are obtained by using Hamilton’s *** equations are discretized and solved by using the generalized differential quadrature method(GDQM)to obtain the fundamental *** effects of the weight fraction,the dispersion model,the geometry,and the size of GPLs,as well as the porosity distribution,the porosity coefficient,the boundary condition,the metal matrix,the slenderness ratio,and the thermal gradient are presented.

关键词： thermal vibration functionally graded(FG) porous material graphene platelet(GPL) Timoshenko beam

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Exact solution for thermal vibration of multi-directional functionally graded porous plates submerged in fluid medium

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Defence Technology（防务技术） 2024年第5期35卷 77-99页

作者： Quoc-Hoa Pham Van Ke Tran Phu-Cuong Nguyen Faculty of Engineering and Technology Nguyen Tat Thanh UniversityHo Chi Minh CityViet Nam Faculty of Mechanical Engineering Le Quy Don Technical UniversityHanoiViet Nam Advanced Structural Engineering Laboratory Department of Structural EngineeringFaculty of Civil EngineeringHo Chi Minh City Open UniversityHo Chi Minh CityViet Nam

An analytical method for analyzing the thermal vibration of multi-directional functionally graded porous rectangular plates in fluid media with novel porosity patterns is developed in this *** properties of MFG porous plates change according to the length,width,and thickness directions for various materials and the porosity distribution which can be widely applied in many fields of engineering and defence ***,new porous rules that depend on spatial coordinates and grading indexes are proposed in the present *** Hamilton's principle and the refined higher-order shear deformation plate theory,the governing equation of motion of an MFG porous rectangular plate in a fluid medium(the fluid-plate system)is *** fluid velocity potential is derived from the boundary conditions of the fluid-plate system and is used to compute the extra *** GalerkinVlasov solution is used to solve and give natural frequencies of MFG porous plates with various boundary conditions in a fluid *** validity and reliability of the suggested method are confirmed by comparing numerical results of the present work with those from available works in the *** effects of different parameters on the thermal vibration response of MFG porous rectangular plates are studied in *** findings demonstrate that the behavior of the structure within a liquid medium differs significantly from that within a vacuum ***,they offer appropriate operational approaches for the structure when employed in various mediums.

关键词： Plate-fluid contact Galerkin Vlasov's method Multi-directional functionally graded plate Novel porosity thermal vibration Refined higher-order shear deformation theory

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Size-dependent vibration and buckling of porous functionally graded microplates based on modified couple stress theory in thermal environments by considering a dual power-law distribution of scale effects

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Applied Mathematics and Mechanics(English Edition) 2024年第12期45卷 2075-2092页

作者： Feixiang TANG Shaonan SHI Siyu HE Fang DONG Sheng LIU Key Laboratory of Transients in Hydraulic Machinery Ministry of Education School of Power and Mechanical Engineering Wuhan University China-EU Institute for Clean and Renewable Energy Huazhong University of Science &Technology The Institute of Technological Sciences Wuhan University

In this study, the thermodynamic behaviors of the intrinsic frequency and buckling temperature of rectangular plates of functionally graded materials(FGMs) are explored based on the modified couple stress theory(MCST) and the novel dual powerlaw scale distribution theory. The effects of linear, homogeneous, and non-homogeneous temperature fields on the frequency and buckling temperature of FGM microplates are evaluated in detail. The results show that the porosity greatly affects the mechanical properties of FGM plates, reducing their frequency and flexural temperature compared with non-porous plates. Different temperature profiles alter plate frequencies and buckling temperatures. The presence and pattern of scale effect parameters are also shown to be crucial for the mechanical response of FGM plates. The present research aims to provide precise guidelines for the micro-electro-mechanical system(MEMS) fabrication by elucidating the complex interplay between thermal, material, and structural factors that affect the performance of FGM plates in advanced applications.

关键词： 74H45 dual power law functionally graded material (FGM) O341 pore distribution scale distribution scale effect thermal buckling thermal vibration

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Stochastically driven vibrations of single-layered graphene sheets

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Science China(Physics,Mechanics & Astronomy) 2012年第6期55卷 1103-1110页

作者： LIU RuMeng WANG LiFeng State Key Laboratory.of Mechanics and Control of Mechanical Structures Nanjing University Aeronautics and AstronauticsNanfing 210016China

thermal vibration of single-layered graphene sheets (SLGSs) is investigated using plate model together with the law of equi-partition of energy and the molecular dynamics (MD) method based on the condensed-phase Optimized Molecular Potentials for Atomistic Simulation Studies (COMPASS) force *** in-plane stiffness and Poisson ratio of SLGSs are calculated by stretching *** effective thickness of SLGSs is obtained by the MD simulations for the thermal vibration of SLGSs through the natural *** root-mean-squared (RMS) amplitudes for SLGSs of differing temperatures and boundary conditions are calculated by the MD,and are compared with the results calculated by the thin plate model together with the law of equi-partition of *** the center of SLGSs,the thin plate theory can predict the MD results reasonably *** the difference of bonding structure of the edge atoms,the deviation between the MD results and plate theory becomes more readily apparent near the edges of SLGSs.

关键词： single-layered graphene sheets thermal vibration molecular dynamics simulation RMS amplitude thin plate theory equi-partition of energy

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