期刊
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
卷 54, 期 -, 页码 243-251出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.euromechsol.2015.07.002
关键词
Euler-Bernoulli beams; Fractional calculus; Non-local models
类别
资金
- Deutsche Forschungsgemeinschaft DFG [MU 1752/33-1]
- National Centre for Research and Development (NCBiR) [UOD-DEM-1-203/001]
In this paper the classical Euler Bernoulli beam (CEBB) theory is reformulated utilising fractional calculus. Such generalisation is called fractional Euler-Bernoulli beams (FEBB) and results in non-local spatial description. The parameters of the model are identified based on AFM experiments concerning bending rigidities of micro-beams made of the polymer SU-8. In experiments both force as well as deflection data were recorded revealing significant size effect with respect to outer dimensions of the specimens. Special attention is also focused on the proper numerical solution of obtained fractional differential equation. (C) 2015 Elsevier Masson SAS. All rights reserved.
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