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Paper Information

Journal:   IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION B- ENGINEERING   2008 , Volume 32 , Number B1; Page(s) 1 To 12.
 
Paper: 

GENERALIZED NONLINEAR 3D EULER-BERNNOULLI BEAM THEORY

 
 
Author(s):  ZOHOUR H.*, KHORSANDIJOU S.M.
 
* CENTER OF EXCELLENCE IN DESIGN, ROBOTICS AND AUTOMATION, SHARIF UNIVERSITY OF TECHNOLOGY, FELLOW, THE ACADEMY OF SCIENCES, I. R. OF IRAN
 
Abstract: 

The issue of the new elastic terms discovered in the nonlinear dynamic model of an enhanced nonlinear 3D Euler-Bernoulli beam is discussed. While the elastic orientation is negligible, the nonlinear dynamic model governing tension-compression, torsion and two spatial bendings is presented. Considering this model, some new elastic terms can be identified in the variation of elastic potential energy in each bending motion equation, and in each transverse shear force. Due to the new terms, each term of a bending equation and a transverse shear force, finds a counterpart in the other bending equation and transverse shear force, but the equations remain asymmetric. The new terms have arisen, since variation of strains and variation of elastic potential energy are derived from exact strains and exact deformations regarding considerable elastic orientation, then the elastic orientation is neglected. The new terms perish in the nonlinear 3D Euler-Bernoulli beam theory, since elastic orientation is neglected first, then variation of strains and variation of elastic potential energy are derived from the approximated strains.

 
Keyword(s): 3D EULER, BERNOULLI BEAM THEORY
 
 
References: 
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Citations: 
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+ Click to Cite.
APA: Copy

ZOHOUR, H., & KHORSANDIJOU, S. (2008). GENERALIZED NONLINEAR 3D EULER-BERNNOULLI BEAM THEORY. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION B- ENGINEERING, 32(B1), 1-12. https://www.sid.ir/en/journal/ViewPaper.aspx?id=113382



Vancouver: Copy

ZOHOUR H., KHORSANDIJOU S.M.. GENERALIZED NONLINEAR 3D EULER-BERNNOULLI BEAM THEORY. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION B- ENGINEERING. 2008 [cited 2021November30];32(B1):1-12. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=113382



IEEE: Copy

ZOHOUR, H., KHORSANDIJOU, S., 2008. GENERALIZED NONLINEAR 3D EULER-BERNNOULLI BEAM THEORY. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION B- ENGINEERING, [online] 32(B1), pp.1-12. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=113382.



 
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