Energy methods for curved composite beams with partial shear interaction

István Ecsedi; Ákos József Lengyel

Curved and Layered Structures (2015)

  • Volume: 2, Issue: 1, page 25-40
  • ISSN: 2353-7396

Abstract

top
This paper presents a derivation of the Rayleigh- Betti reciprocity relation for layered curved composite beams with interlayer slip. The principle of minimum of potential energy is also formulated for two-layer curved composite beams and its applications are illustrated by numerical examples. The solution of the presented problems are obtained by the Ritz method. The applications of the Rayleigh-Betti reciprocity relation proven are illustrated by some examples.

How to cite

top

István Ecsedi, and Ákos József Lengyel. "Energy methods for curved composite beams with partial shear interaction." Curved and Layered Structures 2.1 (2015): 25-40. <http://eudml.org/doc/276849>.

@article{IstvánEcsedi2015,
abstract = {This paper presents a derivation of the Rayleigh- Betti reciprocity relation for layered curved composite beams with interlayer slip. The principle of minimum of potential energy is also formulated for two-layer curved composite beams and its applications are illustrated by numerical examples. The solution of the presented problems are obtained by the Ritz method. The applications of the Rayleigh-Betti reciprocity relation proven are illustrated by some examples.},
author = {István Ecsedi, Ákos József Lengyel},
journal = {Curved and Layered Structures},
keywords = {Curved beam; two-layer; interlayer slip; potential energy; reciprocity; shear connection; composite beam; free vibration},
language = {eng},
number = {1},
pages = {25-40},
title = {Energy methods for curved composite beams with partial shear interaction},
url = {http://eudml.org/doc/276849},
volume = {2},
year = {2015},
}

TY - JOUR
AU - István Ecsedi
AU - Ákos József Lengyel
TI - Energy methods for curved composite beams with partial shear interaction
JO - Curved and Layered Structures
PY - 2015
VL - 2
IS - 1
SP - 25
EP - 40
AB - This paper presents a derivation of the Rayleigh- Betti reciprocity relation for layered curved composite beams with interlayer slip. The principle of minimum of potential energy is also formulated for two-layer curved composite beams and its applications are illustrated by numerical examples. The solution of the presented problems are obtained by the Ritz method. The applications of the Rayleigh-Betti reciprocity relation proven are illustrated by some examples.
LA - eng
KW - Curved beam; two-layer; interlayer slip; potential energy; reciprocity; shear connection; composite beam; free vibration
UR - http://eudml.org/doc/276849
ER -

References

top
  1. [1] Challamel N., Girhammar U.A., Variationally-based theories for buckling of partial composite beam-columns including shear and axial effects, Engineering Structures, 2011, 33(8), 2297-2319. [WoS][Crossref] 
  2. [2] Özer H., Variational principles for bending and vibration of partially composite Timoshenko beams, Mathematical Problems in Engineering, 2014, Article ID 435613, 5 pages, DOI: http://dx.doi.org/10.1155/2014/435613 [Crossref] 
  3. [3] Xu R., Wang G., Variational principle of partial-interaction composite beams using Timoshenko’s beam theory, International Journal of Mechanical Sciences, 2012, 60(1), 72-83. [WoS] 
  4. [4] Xu R., Chen D., Variational principles of partial-interaction composite beams, Journal of Engineering Mechanics, 2012, 138(5), 542-551. 
  5. [5] Newmark N.M., Siess C.P., Viest I.M., Test and analysis of composite beam with incomplete interaction, Proceedings of the Society for Experimental Stress Analysis, 1951, 9, 75-92. 
  6. [6] Girhammar U.A., Gopu V.K.A., Composite beam-columns with interlayer slip – Exact analysis, ASCE Journal of Structural Engineering, 1993, 119(4), 1265-1282. [Crossref] 
  7. [7] Girhammar U.A., Pan D.H., Exact static analysis of partially composite beams and beam-columns, International Journal of Mechanical Sciences, 2007, 49(2), 239-255. 
  8. [8] Planinc I., Schnabl S., Saje M., Lopatič J., Čas B., Numerical and experimental analysis of timber composite beams with interlayer slip, Engineering Structures, 2008, 30(11), 2959-2969. [Crossref][WoS] 
  9. [9] Ecsedi I., Dluhi K., A linear model for the static and dynamic analysis of non-homogeneous curved beams, Applied Mathematical Modelling, 2005, 29(12), 1211-1231. Zbl1113.74039
  10. [10] Segura J.M., Armengaud G., Analytical formulation of stresses in curved composite beams, Archive of Applied Mechanics, 1998, 68(3-4), 206-213. [Crossref] Zbl0907.73032
  11. [11] Qatu M.S., Theories and analyses of thin and moderately thick laminated composite curved beams, International Journal of Solids and Structures, 1993, 30(20), 2743-2756. Zbl0782.73033
  12. [12] Ibrahimbegovič A., Frey F., Finite element analysis of linear and non-linear planar deformations of elastic initially curved beams, International Journal for Numerical Methods in Engineering, 1993, 36(19), 3239-3258. Zbl0789.73069
  13. [13] Ascione L., Fraternali F., A penalty model for the analysis of curved composite beams, Computers & Structures, 1992, 45(5- 6), 985-999. Zbl0775.73234
  14. [14] Bhimaraddi A., Carr A.J., Moss P.J., Generalized finite element analysis of laminated curved beams with constant curvature, Computers & Structures, 1989, 31(3), 309-317. 
  15. [15] Assma H.I., Experimental and analytical study of bending stresses and deflections in curved beam made of laminated composite material, Al-Khwarizmi Engineering Journal, 2014, 10(4), 21-32. 
  16. [16] Liu X., Erkmen R.E., Bradford M.A., Creep and shrinkage analysis of curved composite beams including the effects of partial interaction, Paper 154, Proceedings of the Eleventh International Conference on Computational Structures Technology, B. H. V. Topping (Editor), Civil-Comp Press, Stirlingshire, Scotland, 2012 
  17. [17] Erkmen R.E., Bradford M.A., Nonlinear elastic analysis of composite beams curved in-plan, Engineering Structures, 2009, 31(7), 1613-1624. [Crossref] 
  18. [18] Tan. E.L., Uy B., Nonlinear analysis of composite beams subjected to combined flexure and torsion, Journal of Constructional Steel Research, 2011, 67(5), 790-799. [Crossref] 
  19. [19] Ecsedi I., Lengyel Á.J., Curved composite beam with interlayer slip loaded by radial load, Curved and Layered Structures, 2015, 2, 50-58. 
  20. [20] Washizu K., Variational Methods in Elasticity and Plasticity, Pergamon Press, New York, 1975 Zbl0339.73035
  21. [21] Richard T.H., Energy Methods in Stress Analysis. With an Introduction to Finite Element Techniques, Ellis Horwood, Chichester, 1977 
  22. [22] Elsgolts L., Differential Equations and the Calculus of Variations, Mir Publishers, Moscow, 1977 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.