Angle of Twist of a Double-Bent Leaf Flexure under Torsion

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NGUYEN, Nghia Huu ;LEE, Hong-Cheol ;JO, Sunghee ;LEE, Dong-Yeon .
Angle of Twist of a Double-Bent Leaf Flexure under Torsion. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 64, n.5, p. 310-318, june 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/angle-of-twist-of-a-double-bent-leaf-flexure-under-torsion/>. Date accessed: 28 mar. 2024. 
doi:http://dx.doi.org/10.5545/sv-jme.2017.5003.
Nguyen, N., Lee, H., Jo, S., & Lee, D.
(2018).
Angle of Twist of a Double-Bent Leaf Flexure under Torsion.
Strojniški vestnik - Journal of Mechanical Engineering, 64(5), 310-318.
doi:http://dx.doi.org/10.5545/sv-jme.2017.5003
@article{sv-jmesv-jme.2017.5003,
	author = {Nghia Huu  Nguyen and Hong-Cheol  Lee and Sunghee  Jo and Dong-Yeon  Lee},
	title = {Angle of Twist of a Double-Bent Leaf Flexure under Torsion},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {64},
	number = {5},
	year = {2018},
	keywords = {torsion; double-bent leaf flexure; warping restraint factor; partially restrained warping; Castigliano’s theorem; finite element analysis},
	abstract = {This paper describes the rotational displacement of the double-bent leaf flexure subjected to a torsional load. Warping and specifically double partially-restrained warping are considered when the torsion is applied. The warping restraint factor for partially-restrained warping is also considered. Castigliano’s theorem is applied to derive the theoretical equations of the angle of twist. The results for the fully restrained, partially restrained, and free warping cases are compared and verified with finite element analysis (FEA). A sensitivity analysis over the length, width, and thickness is performed and the results are compared with FEA. The errors between the theory result with the warping restraint factor (K = 0.5) and those of FEA are the lowest, below 5%. This suggests that the angle of twist of the double-bent leaf flexure under torsion is accurately predicted by considering double partially-restrained warping},
	issn = {0039-2480},	pages = {310-318},	doi = {10.5545/sv-jme.2017.5003},
	url = {https://www.sv-jme.eu/article/angle-of-twist-of-a-double-bent-leaf-flexure-under-torsion/}
}
Nguyen, N.,Lee, H.,Jo, S.,Lee, D.
2018 June 64. Angle of Twist of a Double-Bent Leaf Flexure under Torsion. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 64:5
%A Nguyen, Nghia Huu 
%A Lee, Hong-Cheol 
%A Jo, Sunghee 
%A Lee, Dong-Yeon 
%D 2018
%T Angle of Twist of a Double-Bent Leaf Flexure under Torsion
%B 2018
%9 torsion; double-bent leaf flexure; warping restraint factor; partially restrained warping; Castigliano’s theorem; finite element analysis
%! Angle of Twist of a Double-Bent Leaf Flexure under Torsion
%K torsion; double-bent leaf flexure; warping restraint factor; partially restrained warping; Castigliano’s theorem; finite element analysis
%X This paper describes the rotational displacement of the double-bent leaf flexure subjected to a torsional load. Warping and specifically double partially-restrained warping are considered when the torsion is applied. The warping restraint factor for partially-restrained warping is also considered. Castigliano’s theorem is applied to derive the theoretical equations of the angle of twist. The results for the fully restrained, partially restrained, and free warping cases are compared and verified with finite element analysis (FEA). A sensitivity analysis over the length, width, and thickness is performed and the results are compared with FEA. The errors between the theory result with the warping restraint factor (K = 0.5) and those of FEA are the lowest, below 5%. This suggests that the angle of twist of the double-bent leaf flexure under torsion is accurately predicted by considering double partially-restrained warping
%U https://www.sv-jme.eu/article/angle-of-twist-of-a-double-bent-leaf-flexure-under-torsion/
%0 Journal Article
%R 10.5545/sv-jme.2017.5003
%& 310
%P 9
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 64
%N 5
%@ 0039-2480
%8 2018-06-26
%7 2018-06-26
Nguyen, Nghia Huu, Hong-Cheol  Lee, Sunghee  Jo, & Dong-Yeon  Lee.
"Angle of Twist of a Double-Bent Leaf Flexure under Torsion." Strojniški vestnik - Journal of Mechanical Engineering [Online], 64.5 (2018): 310-318. Web.  28 Mar. 2024
TY  - JOUR
AU  - Nguyen, Nghia Huu 
AU  - Lee, Hong-Cheol 
AU  - Jo, Sunghee 
AU  - Lee, Dong-Yeon 
PY  - 2018
TI  - Angle of Twist of a Double-Bent Leaf Flexure under Torsion
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2017.5003
KW  - torsion; double-bent leaf flexure; warping restraint factor; partially restrained warping; Castigliano’s theorem; finite element analysis
N2  - This paper describes the rotational displacement of the double-bent leaf flexure subjected to a torsional load. Warping and specifically double partially-restrained warping are considered when the torsion is applied. The warping restraint factor for partially-restrained warping is also considered. Castigliano’s theorem is applied to derive the theoretical equations of the angle of twist. The results for the fully restrained, partially restrained, and free warping cases are compared and verified with finite element analysis (FEA). A sensitivity analysis over the length, width, and thickness is performed and the results are compared with FEA. The errors between the theory result with the warping restraint factor (K = 0.5) and those of FEA are the lowest, below 5%. This suggests that the angle of twist of the double-bent leaf flexure under torsion is accurately predicted by considering double partially-restrained warping
UR  - https://www.sv-jme.eu/article/angle-of-twist-of-a-double-bent-leaf-flexure-under-torsion/
@article{{sv-jme}{sv-jme.2017.5003},
	author = {Nguyen, N., Lee, H., Jo, S., Lee, D.},
	title = {Angle of Twist of a Double-Bent Leaf Flexure under Torsion},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {64},
	number = {5},
	year = {2018},
	doi = {10.5545/sv-jme.2017.5003},
	url = {https://www.sv-jme.eu/article/angle-of-twist-of-a-double-bent-leaf-flexure-under-torsion/}
}
TY  - JOUR
AU  - Nguyen, Nghia Huu 
AU  - Lee, Hong-Cheol 
AU  - Jo, Sunghee 
AU  - Lee, Dong-Yeon 
PY  - 2018/06/26
TI  - Angle of Twist of a Double-Bent Leaf Flexure under Torsion
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 64, No 5 (2018): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2017.5003
KW  - torsion, double-bent leaf flexure, warping restraint factor, partially restrained warping, Castigliano’s theorem, finite element analysis
N2  - This paper describes the rotational displacement of the double-bent leaf flexure subjected to a torsional load. Warping and specifically double partially-restrained warping are considered when the torsion is applied. The warping restraint factor for partially-restrained warping is also considered. Castigliano’s theorem is applied to derive the theoretical equations of the angle of twist. The results for the fully restrained, partially restrained, and free warping cases are compared and verified with finite element analysis (FEA). A sensitivity analysis over the length, width, and thickness is performed and the results are compared with FEA. The errors between the theory result with the warping restraint factor (K = 0.5) and those of FEA are the lowest, below 5%. This suggests that the angle of twist of the double-bent leaf flexure under torsion is accurately predicted by considering double partially-restrained warping
UR  - https://www.sv-jme.eu/article/angle-of-twist-of-a-double-bent-leaf-flexure-under-torsion/
Nguyen, Nghia Huu, Lee, Hong-Cheol, Jo, Sunghee, AND Lee, Dong-Yeon.
"Angle of Twist of a Double-Bent Leaf Flexure under Torsion" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 64 Number 5 (26 June 2018)

Authors

Affiliations

  • Nha Trang University, Faculty of Mechanical Engineering, Viet Nam 1
  • Yeungnam University, Department of Robotics and Intelligent Machine, Republic of Korea 2

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 64(2018)5, 310-318
© The Authors, CC-BY 4.0 Int. Change in copyright policy from 2022, Jan 1st.

https://doi.org/10.5545/sv-jme.2017.5003

This paper describes the rotational displacement of the double-bent leaf flexure subjected to a torsional load. Warping and specifically double partially-restrained warping are considered when the torsion is applied. The warping restraint factor for partially-restrained warping is also considered. Castigliano’s theorem is applied to derive the theoretical equations of the angle of twist. The results for the fully restrained, partially restrained, and free warping cases are compared and verified with finite element analysis (FEA). A sensitivity analysis over the length, width, and thickness is performed and the results are compared with FEA. The errors between the theory result with the warping restraint factor (K = 0.5) and those of FEA are the lowest, below 5%. This suggests that the angle of twist of the double-bent leaf flexure under torsion is accurately predicted by considering double partially-restrained warping

torsion; double-bent leaf flexure; warping restraint factor; partially restrained warping; Castigliano’s theorem; finite element analysis