Free vibration analysis of higher-order shear elasticity nanocomposite beams with consideration of nonlocal elasticity and poisson effect

Autor: Fabrice Bernard, Noureddine El Meiche, Ismail Mechab
Přispěvatelé: Laboratoire de Génie Civil et Génie Mécanique (LGCGM), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA), Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Materials science
[PHYS.MECA.GEME]Physics [physics]/Mechanics [physics]/Mechanical engineering [physics.class-ph]
Non-local elasticities
02 engineering and technology
Orthotropic material
Nanocomposites
Shear correction factors
Shear flow
symbols.namesake
Nonlocal formulations
0203 mechanical engineering
Principle of virtual displacements
ComputingMilieux_MISCELLANEOUS
Parabolic distribution
Nanocomposite
Vibration analysis
Antisymmetric relation
Mechanical Engineering
Mechanics
021001 nanoscience & nanotechnology
Poisson's ratio
Elasticity
Vibration
[SPI.GCIV]Engineering Sciences [physics]/Civil Engineering
020303 mechanical engineering & transports
Classical mechanics
Shear (geology)
symbols
Free-vibration analysis
0210 nano-technology
Beam (structure)
Transverse shear effects
Transverse shear strains
Zdroj: Journal of Nanomechanics and Micromechanics
Journal of Nanomechanics and Micromechanics, 2016, 6 (3), pp.04016006. ⟨10.1061/(ASCE)NM.2153-5477.0000110⟩
Journal of Nanomechanics and Micromechanics, American Society of Civil Engineers, 2016, 6 (3), pp.04016006. ⟨10.1061/(ASCE)NM.2153-5477.0000110⟩
ISSN: 2153-5434
2153-5477
DOI: 10.1061/(ASCE)NM.2153-5477.0000110⟩
Popis: Free vibration analysis of orthotropic beams with local and nonlocal formulation using the high-order theory including the Poisson effect is presented in this paper. The theory takes into account the transverse shear effects introducing a new displacement shape function and a parabolic distribution of the transverse shear strains through the thickness of the beam. Hence it is unnecessary to use shear correction factors. The governing equations are derived from the principle of virtual displacements. The couplings among the axial, torsion, and bending deformations are investigated in the one-dimensional beam model. The free vibration solutions are finally presented for the nonlocal higher-order beam/column models. The influence of the various geometrical and material parameters, thickness ratio, and number of symmetric and antisymmetric layers of the laminate material has been investigated to find the natural frequencies. The numerical results obtained in the present study for several examples are ...
Databáze: OpenAIRE
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