Open AccessNonlinear microstructure‐dependent Bernoulli–Euler beam model based on the modified couple stress theory and finite rotation of section
Author(s) -
Huang Kun,
Qu Benning,
Li Ze,
Yao Ji
Publication year - 2018
Publication title -
micro and nano letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.25
H-Index - 31
ISSN - 1750-0443
DOI - 10.1049/mnl.2017.0749
Subject(s) - microbeam , nonlinear system , bernoulli's principle , timoshenko beam theory , beam (structure) , section (typography) , stress (linguistics) , rotation (mathematics) , euler's formula , mathematical analysis , physics , mathematics , mechanics , classical mechanics , geometry , optics , computer science , quantum mechanics , thermodynamics , linguistics , philosophy , operating system
Based on Hamilton's principle and the modified couple stress theory, a Bernoulli–Euler microbeam model is developed with the finite rotation of the cross‐section. The present model includes three couple‐stress‐induced nonlinear terms, and these nonlinear terms have a significant influence on the mechanic response of the beam.