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Information Journal Paper

Title

GENERALIZED NONLINEAR 3D EULER-BERNNOULLI BEAM THEORY

Pages

  1-12

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.

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  • Cite

    APA: Copy

    ZOHOUR, H., & KHORSANDIJOU, S.M.. (2008). GENERALIZED NONLINEAR 3D EULER-BERNNOULLI BEAM THEORY. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION B- ENGINEERING, 32(B1), 1-12. SID. https://sid.ir/paper/62322/en

    Vancouver: Copy

    ZOHOUR H., KHORSANDIJOU S.M.. GENERALIZED NONLINEAR 3D EULER-BERNNOULLI BEAM THEORY. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION B- ENGINEERING[Internet]. 2008;32(B1):1-12. Available from: https://sid.ir/paper/62322/en

    IEEE: Copy

    H. ZOHOUR, and S.M. KHORSANDIJOU, “GENERALIZED NONLINEAR 3D EULER-BERNNOULLI BEAM THEORY,” IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION B- ENGINEERING, vol. 32, no. B1, pp. 1–12, 2008, [Online]. Available: https://sid.ir/paper/62322/en

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