Nonlocal elasticity theory for lateral stability analysis of tapered thin-walled nanobeams with axially varying materials
| Autor: | Masoumeh Soltani, Foudil Mohri, Francesco Tornabene, Farzaneh Atoufi, Rossana Dimitri |
|---|---|
| Přispěvatelé: | University of Kashan (IRAN), Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux (LEM3), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM), Labex DAMAS, Université de Lorraine (UL), Università del Salento [Lecce], Soltani, M., Atoufi, F., Mohri, F., Dimitri, R., Tornabene, F. |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Timoshenko beam theory
Lateral-torsional buckling Thin-walled beam Nonlocal elasticity theory Axially functionally graded materials Materials science Differential equation Axially functionally graded material Mechanical Engineering Lateral-torsional buckling Tapering 02 engineering and technology Building and Construction Mechanics 021001 nanoscience & nanotechnology Homogenization (chemistry) 020303 mechanical engineering & transports 0203 mechanical engineering Buckling Nyström method Boundary value problem [SPI.GCIV.STRUCT]Engineering Sciences [physics]/Civil Engineering/Structures Nonlocal elasticity theory Thin-walled beam 0210 nano-technology Material properties Civil and Structural Engineering |
| Zdroj: | Thin-Walled Structures Thin-Walled Structures, Elsevier, 2021, 159, pp.107268. ⟨10.1016/j.tws.2020.107268⟩ |
| ISSN: | 0263-8231 |
| DOI: | 10.1016/j.tws.2020.107268⟩ |
| Popis: | International audience; The lateral-torsional buckling behavior of functionally graded (FG) non-local beams with a tapered I-section ishere investigated using an innovative methodology. The material properties are supposed to vary continuouslyalong the longitudinal direction according to a homogenization procedure, based on a power-law function,whereas the nanobeam is modeled within the framework of a Vlasov thin-walled beam theory. The flexuraltorsionalgoverning equations of the problem are derived based on the Eringen’s nonlocal elasticity theoryand the energy method. The system of lateral stability equations is, thus, reduced to a fourth-order differentialequation in terms of the twist angle by uncoupling the equilibrium differential equations. The buckling loads arefinally determined using the differential quadrature method (DQM), which is here applied as numerical tool tosolve directly the differential equations of the problem in a strong form. A systematic investigation checks for theinfluence of some parameters such as the power-law index, tapering ratios, loading height parameter, boundaryconditions and non-local parameter, on the lateral stability resistance of the tapered I-nanobeams. The numericaloutcomes of this paper can be used as benchmarks for further studies on nanoscale tapered thin-walled beams. |
| Databáze: | OpenAIRE |
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