The effect of parameterization on isogeometric analysis of free-form curved beams

Seyed Farhad Hosseini; Behnam Moetakef-Imani; Saeid Hadidi-Moud; Behrooz Hassani

doi:10.1007/s00707-016-1610-9

The effect of parameterization on isogeometric analysis of free-form curved beams

Seyed Farhad Hosseini, Behnam Moetakef-Imani, Saeid Hadidi-Moud, Behrooz Hassani

Ferdowsi University of Mashhad

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

22 Citations (Scopus)

72 Downloads (Pure)

Abstract

In the present paper, the effect of parameterization on the results of isogeometric analysis of free-form approximated curved beams is investigated. An Euler–Bernoulli beam element for an initially curved beam with variable curvature is developed. The model is applied to four different examples. The effect of three parameterization strategies (the equally spaced method, the chord length method and the centripetal method) in the curve approximation process is considered. Also, the effect of least square approximation error is taken into consideration. The results strongly suggest avoiding the equally spaced method. Among the chord length and centripetal methods, the method which leads to a less least square error is recommended.

Original language	English
Pages (from-to)	1983-1998
Number of pages	16
Journal	Acta Mechanica
Volume	227
Issue number	7
Early online date	6 Apr 2016
DOIs	https://doi.org/10.1007/s00707-016-1610-9
Publication status	Published - 2016

Bibliographical note

Publisher Statement: The final publication is available at Springer via http://dx.doi.org/10.1007/s00707-016-1610-9

Access to Document

10.1007/s00707-016-1610-9

Post-PrintAccepted author manuscript, 986 KB

Saeid Hadidimoud
- School of Mechanical Engineering - Assistant Professor Academic
Person: Teaching and Research

Cite this

@article{b2543a9bcb354c9795bec1845e89b7b5,

title = "The effect of parameterization on isogeometric analysis of free-form curved beams",

abstract = "In the present paper, the effect of parameterization on the results of isogeometric analysis of free-form approximated curved beams is investigated. An Euler–Bernoulli beam element for an initially curved beam with variable curvature is developed. The model is applied to four different examples. The effect of three parameterization strategies (the equally spaced method, the chord length method and the centripetal method) in the curve approximation process is considered. Also, the effect of least square approximation error is taken into consideration. The results strongly suggest avoiding the equally spaced method. Among the chord length and centripetal methods, the method which leads to a less least square error is recommended.",

author = "Hosseini, {Seyed Farhad} and Behnam Moetakef-Imani and Saeid Hadidi-Moud and Behrooz Hassani",

note = "Publisher Statement: The final publication is available at Springer via http://dx.doi.org/10.1007/s00707-016-1610-9 ",

year = "2016",

doi = "10.1007/s00707-016-1610-9",

language = "English",

volume = "227",

pages = "1983--1998",

journal = "Acta Mechanica",

issn = "0001-5970",

publisher = "Springer",

number = "7",

}

TY - JOUR

T1 - The effect of parameterization on isogeometric analysis of free-form curved beams

AU - Hosseini, Seyed Farhad

AU - Moetakef-Imani, Behnam

AU - Hadidi-Moud, Saeid

AU - Hassani, Behrooz

N1 - Publisher Statement: The final publication is available at Springer via http://dx.doi.org/10.1007/s00707-016-1610-9

PY - 2016

Y1 - 2016

N2 - In the present paper, the effect of parameterization on the results of isogeometric analysis of free-form approximated curved beams is investigated. An Euler–Bernoulli beam element for an initially curved beam with variable curvature is developed. The model is applied to four different examples. The effect of three parameterization strategies (the equally spaced method, the chord length method and the centripetal method) in the curve approximation process is considered. Also, the effect of least square approximation error is taken into consideration. The results strongly suggest avoiding the equally spaced method. Among the chord length and centripetal methods, the method which leads to a less least square error is recommended.

AB - In the present paper, the effect of parameterization on the results of isogeometric analysis of free-form approximated curved beams is investigated. An Euler–Bernoulli beam element for an initially curved beam with variable curvature is developed. The model is applied to four different examples. The effect of three parameterization strategies (the equally spaced method, the chord length method and the centripetal method) in the curve approximation process is considered. Also, the effect of least square approximation error is taken into consideration. The results strongly suggest avoiding the equally spaced method. Among the chord length and centripetal methods, the method which leads to a less least square error is recommended.

U2 - 10.1007/s00707-016-1610-9

DO - 10.1007/s00707-016-1610-9

M3 - Article

SN - 0001-5970

VL - 227

SP - 1983

EP - 1998

JO - Acta Mechanica

JF - Acta Mechanica

IS - 7

ER -

The effect of parameterization on isogeometric analysis of free-form curved beams

Abstract

Bibliographical note

Access to Document

Fingerprint

Profiles

Saeid Hadidimoud

Cite this