Modeling Techniques of Nested Helical Structure Based Geometry for Numerical Analysis

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ERDÖNMEZ, Cengiz ;İMRAK, Cevat Erdem.
Modeling Techniques of Nested Helical Structure Based Geometry for Numerical Analysis. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 57, n.4, p. 283-292, june 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/modeling-techniques-of-nested-helical-structure-based-geometry-for-numerical-analysis/>. Date accessed: 17 apr. 2021. 
doi:http://dx.doi.org/10.5545/sv-jme.2009.006.
Erdönmez, C., & İmrak, C.
(2011).
Modeling Techniques of Nested Helical Structure Based Geometry for Numerical Analysis.
Strojniški vestnik - Journal of Mechanical Engineering, 57(4), 283-292.
doi:http://dx.doi.org/10.5545/sv-jme.2009.006
@article{sv-jmesv-jme.2009.006,
	author = {Cengiz  Erdönmez and Cevat Erdem İmrak},
	title = {Modeling Techniques of Nested Helical Structure Based Geometry for Numerical Analysis},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {57},
	number = {4},
	year = {2011},
	keywords = {nested helical structure; nested helix; single helix; double helix; Frenet-Serret frame},
	abstract = {The aim of this paper is to introduce a new methodology of defining and modeling the nested helical structure (NHS) for wire ropes, and to present an accurate wire rope 3D solid modeling, which can be used for finite element analysis. Both single and nested helical wire parametric equations are presented. Derivation of the Frenet-Serret frame for the helical structures is explained, which enables one to define a normal plane along the centerline of a single helical or nested helical curve in 3D space. Both single helical and nested helical solid structures are generated by sweeping a circle or a quadrilateral by using the moving trihedron along the centerline of the helical geometry. When the length of the NHS is increased, surface quality of the NHS diminishes rapidly and it is not possible to generate a good mesh by using the commercial CAD tools. However, the proposed method introduces a solution of modeling helical structures without length limitation with generating an accurate and valid mesh. Illustrative examples are presented to show the benefits of the proposed modeling procedure by using finite element analysis.},
	issn = {0039-2480},	pages = {283-292},	doi = {10.5545/sv-jme.2009.006},
	url = {https://www.sv-jme.eu/article/modeling-techniques-of-nested-helical-structure-based-geometry-for-numerical-analysis/}
}
Erdönmez, C.,İmrak, C.
2011 June 57. Modeling Techniques of Nested Helical Structure Based Geometry for Numerical Analysis. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 57:4
%A Erdönmez, Cengiz 
%A İmrak, Cevat Erdem
%D 2011
%T Modeling Techniques of Nested Helical Structure Based Geometry for Numerical Analysis
%B 2011
%9 nested helical structure; nested helix; single helix; double helix; Frenet-Serret frame
%! Modeling Techniques of Nested Helical Structure Based Geometry for Numerical Analysis
%K nested helical structure; nested helix; single helix; double helix; Frenet-Serret frame
%X The aim of this paper is to introduce a new methodology of defining and modeling the nested helical structure (NHS) for wire ropes, and to present an accurate wire rope 3D solid modeling, which can be used for finite element analysis. Both single and nested helical wire parametric equations are presented. Derivation of the Frenet-Serret frame for the helical structures is explained, which enables one to define a normal plane along the centerline of a single helical or nested helical curve in 3D space. Both single helical and nested helical solid structures are generated by sweeping a circle or a quadrilateral by using the moving trihedron along the centerline of the helical geometry. When the length of the NHS is increased, surface quality of the NHS diminishes rapidly and it is not possible to generate a good mesh by using the commercial CAD tools. However, the proposed method introduces a solution of modeling helical structures without length limitation with generating an accurate and valid mesh. Illustrative examples are presented to show the benefits of the proposed modeling procedure by using finite element analysis.
%U https://www.sv-jme.eu/article/modeling-techniques-of-nested-helical-structure-based-geometry-for-numerical-analysis/
%0 Journal Article
%R 10.5545/sv-jme.2009.006
%& 283
%P 10
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 57
%N 4
%@ 0039-2480
%8 2018-06-28
%7 2018-06-28
Erdönmez, Cengiz, & Cevat Erdem İmrak.
"Modeling Techniques of Nested Helical Structure Based Geometry for Numerical Analysis." Strojniški vestnik - Journal of Mechanical Engineering [Online], 57.4 (2011): 283-292. Web.  17 Apr. 2021
TY  - JOUR
AU  - Erdönmez, Cengiz 
AU  - İmrak, Cevat Erdem
PY  - 2011
TI  - Modeling Techniques of Nested Helical Structure Based Geometry for Numerical Analysis
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2009.006
KW  - nested helical structure; nested helix; single helix; double helix; Frenet-Serret frame
N2  - The aim of this paper is to introduce a new methodology of defining and modeling the nested helical structure (NHS) for wire ropes, and to present an accurate wire rope 3D solid modeling, which can be used for finite element analysis. Both single and nested helical wire parametric equations are presented. Derivation of the Frenet-Serret frame for the helical structures is explained, which enables one to define a normal plane along the centerline of a single helical or nested helical curve in 3D space. Both single helical and nested helical solid structures are generated by sweeping a circle or a quadrilateral by using the moving trihedron along the centerline of the helical geometry. When the length of the NHS is increased, surface quality of the NHS diminishes rapidly and it is not possible to generate a good mesh by using the commercial CAD tools. However, the proposed method introduces a solution of modeling helical structures without length limitation with generating an accurate and valid mesh. Illustrative examples are presented to show the benefits of the proposed modeling procedure by using finite element analysis.
UR  - https://www.sv-jme.eu/article/modeling-techniques-of-nested-helical-structure-based-geometry-for-numerical-analysis/
@article{{sv-jme}{sv-jme.2009.006},
	author = {Erdönmez, C., İmrak, C.},
	title = {Modeling Techniques of Nested Helical Structure Based Geometry for Numerical Analysis},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {57},
	number = {4},
	year = {2011},
	doi = {10.5545/sv-jme.2009.006},
	url = {https://www.sv-jme.eu/article/modeling-techniques-of-nested-helical-structure-based-geometry-for-numerical-analysis/}
}
TY  - JOUR
AU  - Erdönmez, Cengiz 
AU  - İmrak, Cevat Erdem
PY  - 2018/06/28
TI  - Modeling Techniques of Nested Helical Structure Based Geometry for Numerical Analysis
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 57, No 4 (2011): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2009.006
KW  - nested helical structure, nested helix, single helix, double helix, Frenet-Serret frame
N2  - The aim of this paper is to introduce a new methodology of defining and modeling the nested helical structure (NHS) for wire ropes, and to present an accurate wire rope 3D solid modeling, which can be used for finite element analysis. Both single and nested helical wire parametric equations are presented. Derivation of the Frenet-Serret frame for the helical structures is explained, which enables one to define a normal plane along the centerline of a single helical or nested helical curve in 3D space. Both single helical and nested helical solid structures are generated by sweeping a circle or a quadrilateral by using the moving trihedron along the centerline of the helical geometry. When the length of the NHS is increased, surface quality of the NHS diminishes rapidly and it is not possible to generate a good mesh by using the commercial CAD tools. However, the proposed method introduces a solution of modeling helical structures without length limitation with generating an accurate and valid mesh. Illustrative examples are presented to show the benefits of the proposed modeling procedure by using finite element analysis.
UR  - https://www.sv-jme.eu/article/modeling-techniques-of-nested-helical-structure-based-geometry-for-numerical-analysis/
Erdönmez, Cengiz, AND İmrak, Cevat.
"Modeling Techniques of Nested Helical Structure Based Geometry for Numerical Analysis" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 57 Number 4 (28 June 2018)

Authors

Affiliations

  • Institute of Informatics, Computational Science and Engineering Program, Maslak, Istanbul 1
  • Istanbul Technical University, Faculty of Mechanical Engineering 2

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 57(2011)4, 283-292

https://doi.org/10.5545/sv-jme.2009.006

The aim of this paper is to introduce a new methodology of defining and modeling the nested helical structure (NHS) for wire ropes, and to present an accurate wire rope 3D solid modeling, which can be used for finite element analysis. Both single and nested helical wire parametric equations are presented. Derivation of the Frenet-Serret frame for the helical structures is explained, which enables one to define a normal plane along the centerline of a single helical or nested helical curve in 3D space. Both single helical and nested helical solid structures are generated by sweeping a circle or a quadrilateral by using the moving trihedron along the centerline of the helical geometry. When the length of the NHS is increased, surface quality of the NHS diminishes rapidly and it is not possible to generate a good mesh by using the commercial CAD tools. However, the proposed method introduces a solution of modeling helical structures without length limitation with generating an accurate and valid mesh. Illustrative examples are presented to show the benefits of the proposed modeling procedure by using finite element analysis.

nested helical structure; nested helix; single helix; double helix; Frenet-Serret frame