Bending, buckling, and vibration of micro/nanobeams by hybrid nonlocal beam model

Zhang, Y. Y., Wang, C. M. and Challamel, N. (2010) Bending, buckling, and vibration of micro/nanobeams by hybrid nonlocal beam model. Journal of Engineering Mechanics, 136 5: 562-574. doi:10.1061/(ASCE)EM.1943-7889.0000107

Author Zhang, Y. Y.
Wang, C. M.
Challamel, N.
Title Bending, buckling, and vibration of micro/nanobeams by hybrid nonlocal beam model
Journal name Journal of Engineering Mechanics   Check publisher's open access policy
ISSN 0733-9399
Publication date 2010-05-01
Year available 2010
Sub-type Article (original research)
DOI 10.1061/(ASCE)EM.1943-7889.0000107
Open Access Status Not yet assessed
Volume 136
Issue 5
Start page 562
End page 574
Total pages 13
Place of publication Reston, VA, United States
Publisher American Society of Civil Engineers
Language eng
Abstract The hybrid nonlocal Euler-Bernoulli beam model is applied for the bending, buckling, and vibration analyzes of micro/nanobeams. In the hybrid nonlocal model, the strain energy functional combines the local and nonlocal curvatures so as to ensure the presence of small length-scale parameters in the deflection expressions. Unlike Eringen's nonlocal beam model that has only one small length-scale parameter, the hybrid nonlocal model has two independent small length-scale parameters, thereby allowing for a more flexible and accurate modeling of micro/nanobeamlike structures. The equations of motion of the hybrid nonlocal beam and the boundary conditions are derived using the principle of virtual work. These beam equations are solved analytically for the bending, buckling, and vibration responses. It will be shown herein that the hybrid nonlocal beam theory could overcome the paradoxes produced by Eringen's nonlocal beam theory such as vanishing of the small length-scale effect in the deflection expression or the surprisingly stiffening effect against deflection for some classes of beam bending problems.
Keyword Bending
Eringen's nonlocal beam
Hybrid nonlocal beam
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Civil Engineering Publications
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