Theory and Application of Naturally Curved and Twisted Beams with Closed Thin-Walled Cross Sections

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YU, Aimin ;YANG, Rongqiang ;YAO, YIng .
Theory and Application of Naturally Curved and Twisted Beams with Closed Thin-Walled Cross Sections. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 55, n.12, p. 733-741, october 2017. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/theory-and-application-of-naturally-curved-and-twisted-beams-with-closed-thin-walled-cross-sections/>. Date accessed: 29 nov. 2021. 
doi:http://dx.doi.org/.
Yu, A., Yang, R., & Yao, Y.
(2009).
Theory and Application of Naturally Curved and Twisted Beams with Closed Thin-Walled Cross Sections.
Strojniški vestnik - Journal of Mechanical Engineering, 55(12), 733-741.
doi:http://dx.doi.org/
@article{.,
	author = {Aimin  Yu and Rongqiang  Yang and YIng  Yao},
	title = {Theory and Application of Naturally Curved and Twisted Beams with Closed Thin-Walled Cross Sections},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {55},
	number = {12},
	year = {2009},
	keywords = {naturally curved and twisted beam; small initial curvature; small displacement theory; eigenwarping; generalized warping coordinate; },
	abstract = {A novel theory for analyzing naturally curved and twisted beams with closed thin-walled cross sections is presented based on the small displacement theory. By introducing the eigenwarping functions and expanding axial displacements or axial stress distribution in a series of eigenwarpings, the differential equation for determining generalized warping coordinate and the expression for eigenvalues can be derived from the principle of minimum potential energy. In the derivation procedure, the effects of the initial torsion and small initial curvature of the beams are accurately taken into account. The nonclassical influences relevant to the beams are transverse shear and torsion-related warping deformations. Improved solutions can be obtained by adding a series expansion in terms of eigenwarpings to the uncorrected solution. The present theory is used to investigate the stresses and displacements of a cantilevered, rectangular box curved beam subjected to a uniformly distributed load. It is observed that the numerical results obtained agree well with the data from FEM.},
	issn = {0039-2480},	pages = {733-741},	doi = {},
	url = {https://www.sv-jme.eu/article/theory-and-application-of-naturally-curved-and-twisted-beams-with-closed-thin-walled-cross-sections/}
}
Yu, A.,Yang, R.,Yao, Y.
2009 October 55. Theory and Application of Naturally Curved and Twisted Beams with Closed Thin-Walled Cross Sections. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 55:12
%A Yu, Aimin 
%A Yang, Rongqiang 
%A Yao, YIng 
%D 2009
%T Theory and Application of Naturally Curved and Twisted Beams with Closed Thin-Walled Cross Sections
%B 2009
%9 naturally curved and twisted beam; small initial curvature; small displacement theory; eigenwarping; generalized warping coordinate; 
%! Theory and Application of Naturally Curved and Twisted Beams with Closed Thin-Walled Cross Sections
%K naturally curved and twisted beam; small initial curvature; small displacement theory; eigenwarping; generalized warping coordinate; 
%X A novel theory for analyzing naturally curved and twisted beams with closed thin-walled cross sections is presented based on the small displacement theory. By introducing the eigenwarping functions and expanding axial displacements or axial stress distribution in a series of eigenwarpings, the differential equation for determining generalized warping coordinate and the expression for eigenvalues can be derived from the principle of minimum potential energy. In the derivation procedure, the effects of the initial torsion and small initial curvature of the beams are accurately taken into account. The nonclassical influences relevant to the beams are transverse shear and torsion-related warping deformations. Improved solutions can be obtained by adding a series expansion in terms of eigenwarpings to the uncorrected solution. The present theory is used to investigate the stresses and displacements of a cantilevered, rectangular box curved beam subjected to a uniformly distributed load. It is observed that the numerical results obtained agree well with the data from FEM.
%U https://www.sv-jme.eu/article/theory-and-application-of-naturally-curved-and-twisted-beams-with-closed-thin-walled-cross-sections/
%0 Journal Article
%R 
%& 733
%P 9
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 55
%N 12
%@ 0039-2480
%8 2017-10-24
%7 2017-10-24
Yu, Aimin, Rongqiang  Yang, & YIng  Yao.
"Theory and Application of Naturally Curved and Twisted Beams with Closed Thin-Walled Cross Sections." Strojniški vestnik - Journal of Mechanical Engineering [Online], 55.12 (2009): 733-741. Web.  29 Nov. 2021
TY  - JOUR
AU  - Yu, Aimin 
AU  - Yang, Rongqiang 
AU  - Yao, YIng 
PY  - 2009
TI  - Theory and Application of Naturally Curved and Twisted Beams with Closed Thin-Walled Cross Sections
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - naturally curved and twisted beam; small initial curvature; small displacement theory; eigenwarping; generalized warping coordinate; 
N2  - A novel theory for analyzing naturally curved and twisted beams with closed thin-walled cross sections is presented based on the small displacement theory. By introducing the eigenwarping functions and expanding axial displacements or axial stress distribution in a series of eigenwarpings, the differential equation for determining generalized warping coordinate and the expression for eigenvalues can be derived from the principle of minimum potential energy. In the derivation procedure, the effects of the initial torsion and small initial curvature of the beams are accurately taken into account. The nonclassical influences relevant to the beams are transverse shear and torsion-related warping deformations. Improved solutions can be obtained by adding a series expansion in terms of eigenwarpings to the uncorrected solution. The present theory is used to investigate the stresses and displacements of a cantilevered, rectangular box curved beam subjected to a uniformly distributed load. It is observed that the numerical results obtained agree well with the data from FEM.
UR  - https://www.sv-jme.eu/article/theory-and-application-of-naturally-curved-and-twisted-beams-with-closed-thin-walled-cross-sections/
@article{{}{.},
	author = {Yu, A., Yang, R., Yao, Y.},
	title = {Theory and Application of Naturally Curved and Twisted Beams with Closed Thin-Walled Cross Sections},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {55},
	number = {12},
	year = {2009},
	doi = {},
	url = {https://www.sv-jme.eu/article/theory-and-application-of-naturally-curved-and-twisted-beams-with-closed-thin-walled-cross-sections/}
}
TY  - JOUR
AU  - Yu, Aimin 
AU  - Yang, Rongqiang 
AU  - Yao, YIng 
PY  - 2017/10/24
TI  - Theory and Application of Naturally Curved and Twisted Beams with Closed Thin-Walled Cross Sections
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 55, No 12 (2009): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - naturally curved and twisted beam, small initial curvature, small displacement theory, eigenwarping, generalized warping coordinate, 
N2  - A novel theory for analyzing naturally curved and twisted beams with closed thin-walled cross sections is presented based on the small displacement theory. By introducing the eigenwarping functions and expanding axial displacements or axial stress distribution in a series of eigenwarpings, the differential equation for determining generalized warping coordinate and the expression for eigenvalues can be derived from the principle of minimum potential energy. In the derivation procedure, the effects of the initial torsion and small initial curvature of the beams are accurately taken into account. The nonclassical influences relevant to the beams are transverse shear and torsion-related warping deformations. Improved solutions can be obtained by adding a series expansion in terms of eigenwarpings to the uncorrected solution. The present theory is used to investigate the stresses and displacements of a cantilevered, rectangular box curved beam subjected to a uniformly distributed load. It is observed that the numerical results obtained agree well with the data from FEM.
UR  - https://www.sv-jme.eu/article/theory-and-application-of-naturally-curved-and-twisted-beams-with-closed-thin-walled-cross-sections/
Yu, Aimin, Yang, Rongqiang, AND Yao, YIng.
"Theory and Application of Naturally Curved and Twisted Beams with Closed Thin-Walled Cross Sections" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 55 Number 12 (24 October 2017)

Authors

Affiliations

  • Tongji University, School of Aerospace Engineering and Applied Mechanics, China
  • Tongji University, School of Aerospace Engineering and Applied Mechanics, China
  • Tongji University, School of Aerospace Engineering and Applied Mechanics, China

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 55(2009)12, 733-741

A novel theory for analyzing naturally curved and twisted beams with closed thin-walled cross sections is presented based on the small displacement theory. By introducing the eigenwarping functions and expanding axial displacements or axial stress distribution in a series of eigenwarpings, the differential equation for determining generalized warping coordinate and the expression for eigenvalues can be derived from the principle of minimum potential energy. In the derivation procedure, the effects of the initial torsion and small initial curvature of the beams are accurately taken into account. The nonclassical influences relevant to the beams are transverse shear and torsion-related warping deformations. Improved solutions can be obtained by adding a series expansion in terms of eigenwarpings to the uncorrected solution. The present theory is used to investigate the stresses and displacements of a cantilevered, rectangular box curved beam subjected to a uniformly distributed load. It is observed that the numerical results obtained agree well with the data from FEM.

naturally curved and twisted beam; small initial curvature; small displacement theory; eigenwarping; generalized warping coordinate;