期刊
MECHANICS RESEARCH COMMUNICATIONS
卷 99, 期 -, 页码 42-46出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechrescom.2019.06.006
关键词
Cylindrical orthotropy; Saint-Venant torsion; Potential energy; Complementary energy; Torsional rigidity; Upper and lower bounds
类别
资金
- European Union
- European Social Fund
- National Research Development and Innovation Office [NKFIH K115701]
- Younger and Renewing University Innovative Knowledge City institutional development of the University of Miskolc aiming at intelligent specialisation project [EFOP-3.6.1-16-00011]
This paper deals with the Saint-Venant torsion of elastic cylindrical orthotropic solid elliptical cross section. The origin of the cylindrical anisotropy coincides with the centroid of the elliptical cross section. By the use of principle of minimum of potential energy and principle of minimum of complementary energy approximate analytical solutions are derived for the torsion function and for the Prandtl's stress function. Obtained upper and lower bounds for the torsional rigidity show the accuracy of the derived approximate analytic solutions. (C) 2019 Elsevier Ltd. All rights reserved.
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