Mechanical response of a helical body to axial, torsional and radial strain

Nikolaos Karathanasopoulos; Gerald Kress

doi:10.1016/j.ijmecsci.2015.02.022

Mechanical response of a helical body to axial, torsional and radial strain

Nikolaos Karathanasopoulos, Gerald Kress

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

The axial and torsional response of helical bodies as well as their inner coupling has been in depth analyzed, both from an analytical and a numerical modeling perspective. Herein, the radial deformation is appended as an additional kinematic degree of freedom. To this end, an existing analytical theory is employed and advanced so as to account for radial strain. The extended stiffness matrix entries are further verified with the use of a finite element model over a wide range of helix angular configurations. Overall, closed-form expressions of the 3×3 structural response of the helical body are provided, relating axial, torsional and radial strain to their force and moment resultants.

Original language	English (US)
Pages (from-to)	260-265
Number of pages	6
Journal	International Journal of Mechanical Sciences
Volume	94-95
DOIs	https://doi.org/10.1016/j.ijmecsci.2015.02.022
State	Published - May 1 2015

Keywords

Axial strain
Axisymmetric response
Helix
Radial strain
Twist

ASJC Scopus subject areas

Civil and Structural Engineering
Materials Science(all)
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

Access to Document

10.1016/j.ijmecsci.2015.02.022

Cite this

@article{321a31d722794874850110b5d0aa200f,

title = "Mechanical response of a helical body to axial, torsional and radial strain",

abstract = "The axial and torsional response of helical bodies as well as their inner coupling has been in depth analyzed, both from an analytical and a numerical modeling perspective. Herein, the radial deformation is appended as an additional kinematic degree of freedom. To this end, an existing analytical theory is employed and advanced so as to account for radial strain. The extended stiffness matrix entries are further verified with the use of a finite element model over a wide range of helix angular configurations. Overall, closed-form expressions of the 3×3 structural response of the helical body are provided, relating axial, torsional and radial strain to their force and moment resultants.",

keywords = "Axial strain, Axisymmetric response, Helix, Radial strain, Twist",

author = "Nikolaos Karathanasopoulos and Gerald Kress",

note = "Funding Information: The work has been supported by the Swiss National Science Foundation under Project no. 200021-137544-1 . We would also like to thank Prof. E. Mazza and Dr. K. Papailiou, for fruitful discussions. Publisher Copyright: {\textcopyright} 2015 Elsevier Ltd.",

year = "2015",

month = may,

day = "1",

doi = "10.1016/j.ijmecsci.2015.02.022",

language = "English (US)",

volume = "94-95",

pages = "260--265",

journal = "International Journal of Mechanical Sciences",

issn = "0020-7403",

publisher = "Elsevier Limited",

}

TY - JOUR

T1 - Mechanical response of a helical body to axial, torsional and radial strain

AU - Karathanasopoulos, Nikolaos

AU - Kress, Gerald

N1 - Funding Information: The work has been supported by the Swiss National Science Foundation under Project no. 200021-137544-1 . We would also like to thank Prof. E. Mazza and Dr. K. Papailiou, for fruitful discussions. Publisher Copyright: © 2015 Elsevier Ltd.

PY - 2015/5/1

Y1 - 2015/5/1

N2 - The axial and torsional response of helical bodies as well as their inner coupling has been in depth analyzed, both from an analytical and a numerical modeling perspective. Herein, the radial deformation is appended as an additional kinematic degree of freedom. To this end, an existing analytical theory is employed and advanced so as to account for radial strain. The extended stiffness matrix entries are further verified with the use of a finite element model over a wide range of helix angular configurations. Overall, closed-form expressions of the 3×3 structural response of the helical body are provided, relating axial, torsional and radial strain to their force and moment resultants.

AB - The axial and torsional response of helical bodies as well as their inner coupling has been in depth analyzed, both from an analytical and a numerical modeling perspective. Herein, the radial deformation is appended as an additional kinematic degree of freedom. To this end, an existing analytical theory is employed and advanced so as to account for radial strain. The extended stiffness matrix entries are further verified with the use of a finite element model over a wide range of helix angular configurations. Overall, closed-form expressions of the 3×3 structural response of the helical body are provided, relating axial, torsional and radial strain to their force and moment resultants.

KW - Axial strain

KW - Axisymmetric response

KW - Helix

KW - Radial strain

KW - Twist

UR - http://www.scopus.com/inward/record.url?scp=84931201713&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84931201713&partnerID=8YFLogxK

U2 - 10.1016/j.ijmecsci.2015.02.022

DO - 10.1016/j.ijmecsci.2015.02.022

M3 - Article

AN - SCOPUS:84931201713

SN - 0020-7403

VL - 94-95

SP - 260

EP - 265

JO - International Journal of Mechanical Sciences

JF - International Journal of Mechanical Sciences

ER -

Mechanical response of a helical body to axial, torsional and radial strain

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this