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Tytuł artykułu

Energy methods for curved composite beams with partial shear interaction

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Wydawca
Rocznik
Tom
2
Numer
1
Opis fizyczny
Daty
otrzymano
2015-07-03
zaakceptowano
2015-08-12
online
2015-08-20
Twórcy
  • Institute of Applied
    Mechanics, University of Miskolc, Miskolc-Egyetemváros, H-3515
    Miskolc, Hungary
  • Institute of Applied
    Mechanics, University of Miskolc, Miskolc-Egyetemváros, H-3515
    Miskolc, Hungary
Bibliografia
  • [1] Challamel N., Girhammar U.A., Variationally-based theories forbuckling of partial composite beam-columns including shearand axial effects, Engineering Structures, 2011, 33(8), 2297-2319.[WoS][Crossref]
  • [2] Özer H., Variational principles for bending and vibration ofpartially composite Timoshenko beams, Mathematical Problemsin Engineering, 2014, Article ID 435613, 5 pages, DOI:http://dx.doi.org/10.1155/2014/435613[Crossref]
  • [3] Xu R., Wang G., Variational principle of partial-interaction compositebeams using Timoshenko’s beam theory, InternationalJournal of Mechanical Sciences, 2012, 60(1), 72-83.[WoS]
  • [4] Xu R., Chen D., Variational principles of partial-interaction compositebeams, Journal of Engineering Mechanics, 2012, 138(5),542-551.
  • [5] Newmark N.M., Siess C.P., Viest I.M., Test and analysis of compositebeam with incomplete interaction, Proceedings of theSociety for Experimental Stress Analysis, 1951, 9, 75-92.
  • [6] Girhammar U.A., Gopu V.K.A., Composite beam-columns withinterlayer slip – Exact analysis, ASCE Journal of Structural Engineering,1993, 119(4), 1265-1282.[Crossref]
  • [7] Girhammar U.A., Pan D.H., Exact static analysis of partially compositebeams and beam-columns, International Journal of MechanicalSciences, 2007, 49(2), 239-255.
  • [8] Planinc I., Schnabl S., Saje M., Lopatič J., Čas B., Numerical andexperimental analysis of timber composite beams with interlayerslip, Engineering Structures, 2008, 30(11), 2959-2969.[Crossref][WoS]
  • [9] Ecsedi I., Dluhi K., A linear model for the static and dynamicanalysis of non-homogeneous curved beams, Applied MathematicalModelling, 2005, 29(12), 1211-1231.
  • [10] Segura J.M., Armengaud G., Analytical formulation of stresses incurved composite beams, Archive of Applied Mechanics, 1998,68(3-4), 206-213.[Crossref]
  • [11] Qatu M.S., Theories and analyses of thin and moderately thicklaminated composite curved beams, International Journal ofSolids and Structures, 1993, 30(20), 2743-2756.
  • [12] Ibrahimbegovič A., Frey F., Finite element analysis of linearand non-linear planar deformations of elastic initially curvedbeams, International Journal for Numerical Methods in Engineering,1993, 36(19), 3239-3258.
  • [13] Ascione L., Fraternali F., A penalty model for the analysis ofcurved composite beams, Computers & Structures, 1992, 45(5-6), 985-999.
  • [14] Bhimaraddi A., Carr A.J., Moss P.J., Generalized finite elementanalysis of laminated curved beams with constant curvature,Computers & Structures, 1989, 31(3), 309-317.
  • [15] Assma H.I., Experimental and analytical study of bendingstresses and deflections in curved beam made of laminatedcomposite material, Al-Khwarizmi Engineering Journal, 2014,10(4), 21-32.
  • [16] Liu X., Erkmen R.E., Bradford M.A., Creep and shrinkage analysisof curved composite beams including the effects of partialinteraction, Paper 154, Proceedings of the Eleventh InternationalConference on Computational Structures Technology, B.H. V. Topping (Editor), Civil-Comp Press, Stirlingshire, Scotland,2012
  • [17] Erkmen R.E., Bradford M.A., Nonlinear elastic analysis of compositebeams curved in-plan, Engineering Structures, 2009,31(7), 1613-1624.[Crossref]
  • [18] Tan. E.L., Uy B., Nonlinear analysis of composite beams subjectedto combined flexure and torsion, Journal of ConstructionalSteel Research, 2011, 67(5), 790-799.[Crossref]
  • [19] Ecsedi I., Lengyel Á.J., Curved composite beam with interlayerslip loaded by radial load, Curved and Layered Structures, 2015,2, 50-58.
  • [20] Washizu K., Variational Methods in Elasticity and Plasticity,Pergamon Press, New York, 1975
  • [21] Richard T.H., Energy Methods in Stress Analysis. With an Introductionto Finite Element Techniques, Ellis Horwood, Chichester,1977
  • [22] Elsgolts L., Differential Equations and the Calculus of Variations,Mir Publishers, Moscow, 1977
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_1515_cls-2015-0020
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