Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-28T05:25:49.707Z Has data issue: false hasContentIssue false
  • English
  • Français

Structural Analysis of Arches in Plane with a Family of Simple and Accurate Curved Beam Elements Based on Mindlin-Reissner Model

Published online by Cambridge University Press:  31 March 2011

N. Tayşi ,
M. T. Göĝüş  and
M. Özakça
N. Tayşi*
Affiliation:
Civil Engineering Department, University of Gaziantep, 27310, Gaziantep, Turkey
M. T. Göĝüş
Affiliation:
Civil Engineering Department, University of Gaziantep, 27310, Gaziantep, Turkey
M. Özakça
Affiliation:
Civil Engineering Department, University of Gaziantep, 27310, Gaziantep, Turkey
*
*Assistant Professor, corresponding author
Get access

Abstract

In this paper, the basic finite element formulation of a newly developed family of variable thickness, curved, C(0) continuity Mindlin-Reissner model curved beam elements which include shear deformation and rotatory inertia effects is presented. The accuracy, convergence and efficiency of these newly developed curved beam elements are explored through a series of analyses of arch structures and the results are compared with those obtained by other analytical and numerical methods. The comparisons show that the method yields very good results with a relatively small number of elements.

Keywords

Finite element analysisCurved beamMindlin-Reissner modelArches
Type
Articles
Information
Journal of Mechanics , Volume 27 , Issue 1 , March 2011 , pp. 129 - 138
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Boresi, P. B. and Schmidt, R. J., “Advanced Mechanics of Materials,” 6th Ed, John Wiley, New York (2002).Google Scholar
2.Litewka, P. and Rakowski, J., “The Exact Thick Arch Finite Element,” Computers and Structures, 68, pp. 369–379 (1998).CrossRefGoogle Scholar
3.Cheng, X., Han, W. and Huang, H., “Finite Element Methods for Timoshenko Beam, Circular Arch and Reissner-Mindlin Plate Problems,” Journal of Composite and Applied Mathematics, 79, pp. 215–234 (1997).CrossRefGoogle Scholar
4.Friedman, Z. and Kosmatka, J. B., “An Accurate Two-Node Finite Element for Shear Deformable Curved Beam,” International Journal for Numerical Methods in Engineering, 41, pp. 473–498 (1998).3.0.CO;2-Q>CrossRefGoogle Scholar
5.Zhang, C. and Di, S., “New Accurate Two-Noded Shear-Flexible Curved Beam Elements,” Computational Mechanics, 30, pp. 81–87 (2003).CrossRefGoogle Scholar
6.Raveendranath, P., Singh, G. and Pradhan, B., “A Two Nodded Locking Free Shear Flexible Curved Beam Element,” International Journal for Numerical Methods in Engineering, 44, pp. 265–280 (1999).3.0.CO;2-K>CrossRefGoogle Scholar
7.Raveendranath, P., Singh, G. and Rao, G. V., “A Three Nodded Shear Flexible Curved Beam Element Based on Coupled Displacement Field Interpolations,” International Journal for Numerical Methods in Engineering, 51, pp. 85–101 (2001).CrossRefGoogle Scholar
8.Kim, J. G. and Kim, Y. Y., “A New Higher Order Hybrid Mixed Curved Beam Element,” International Journal for Numerical Methods in Engineering, 43, pp. 925–940 (1998).3.0.CO;2-M>CrossRefGoogle Scholar
9.Gimena, L., Gimena, F. N. and Gonzaga, P., “Structural Analysis of a Curved Beam Element Defined in Global Coordinates,” Engineering Structures, 30, pp. 3355–3364 (2008).CrossRefGoogle Scholar
10.Tufekçi, E., and Doğruer, O. Y., “Exact Solution of Out-of-Plane Problems of an Arch with Varying Curvature and Cross Section,” Journal of Engineering Mechanics, 132, pp. 600–609 (2006).CrossRefGoogle Scholar
11.Ergüven, M. E. and Gedikli, A., “A Mixed Finite Element Formulation for Timoshenko Beam on Winkler Foundation,” Computational Mechanics, 31, pp. 229–237 (2003).CrossRefGoogle Scholar
12.Benlemlih, A. and Ferricha, M. E. A., “A Mixed Finite Element Method for Arch Problem,” Applied Mathematical Modeling, 26, pp. 17–36 (2002).CrossRefGoogle Scholar
13.Hinton, E., Sienz, J. and Özakça, M., “Analysis and Optimization of Prismatic and Axisymmetric Shell Structures — Theory, Practice and Software,” Springer, London (2003).Google Scholar
14.Chen, C. N., “The Timoshenko Beam Element of the Differential Quadrature Element Method,” Computational Mechanics, 24, pp. 65–69 (1999).CrossRefGoogle Scholar
15.Héteny, M., “Beams on Elastic Foundation: Theory with Applications in the Fields of Civil and Mechanical Engineering,” 9th Ed, The University of Michigan Press, Michigan (1971).Google Scholar
16.Gutierrez, R. H. and Laura, P. A. A., “In-Plane Vibration of Non-Circular Arches of Non-Uniform Cross Section,” Journal of Sound and Vibration, 129, pp. 181–200 (1989).CrossRefGoogle Scholar
17.SAP2000 v8, “Integrated Software for Structural Analysis & Design,” Computers & Structures, Inc., Berkeley California, U.S.A.Google Scholar