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

被引：24

作者：

Hosseini, Seyed Farhad ^{[1
]}

Moetakef-Imani, Behnam ^{[1
,2
]}

Hadidi-Moud, Saeid ^{[1
]}

Hassani, Behrooz ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Mech Engn, Mashhad, Iran

[2] Ferdowsi Univ Mashhad FUM Campus, Azadi Sq,POB 9177948974, Mashhad, Khorasan Razavi, Iran

来源：

ACTA MECHANICA | 2016年 / 227卷 / 07期

关键词：

VIBRATION ANALYSIS; FINITE-ELEMENTS; OPTIMIZATION; DESIGN; NURBS;

D O I：

10.1007/s00707-016-1610-9

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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.

引用

页码：1983 / 1998

页数：16

共 21 条

[1] Locking free isogeometric formulations of curved thick beams [J].

Bouclier, Robin ;

Elguedj, Thomas ;

Combescure, Alain .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 245 :144-162

[2] Isogeometric analysis of plane-curved beams [J].

Cazzani, Antonio ;

Malagu, Marcello ;

Turco, Emilio .

MATHEMATICS AND MECHANICS OF SOLIDS, 2016, 21 (05) :562-577

[3] Analysis-aware modeling: Understanding quality considerations in modeling for isogeometric analysis [J].

Cohen, E. ;

Martin, T. ;

Kirby, R. M. ;

Lyche, T. ;

Riesenfeld, R. F. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (5-8) :334-356

[4] Isogeometric analysis of structural vibrations [J].

Cottrell, J. A. ;

Reali, A. ;

Bazilevs, Y. ;

Hughes, T. J. R. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (41-43) :5257-5296

[5] A hierarchic family of isogeometric shell finite elements [J].

Echter, R. ;

Oesterle, B. ;

Bischoff, M. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2013, 254 :170-180

[6] An improved isogeometrical analysis approach to functionally graded plane elasticity problems [J].

Hassani, B. ;

Taheri, A. H. ;

Moghaddam, N. Z. .

APPLIED MATHEMATICAL MODELLING, 2013, 37 (22) :9242-9268

[7] Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: Comparison of p-method finite elements with k-method NURBS [J].

Hughes, T. J. R. ;

Reali, A. ;

Sangalli, G. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2008, 197 (49-50) :4104-4124

[8] Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement [J].

Hughes, TJR ;

Cottrell, JA ;

Bazilevs, Y .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2005, 194 (39-41) :4135-4195

[9] Complex wavenumber Fourier analysis of the B-spline based finite element method [J].

Kolman, R. ;

Plesek, J. ;

Okrouhlik, M. .

WAVE MOTION, 2014, 51 (02) :348-359

[10]

Kolman R., 2012, Engineering mechanics, V19, P279

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