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A new approach for buckling analysis of axially functionally graded beams

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The object of considerations are axially functionally graded (FG) beams, which are loaded by an axial force varying along the length of the beam. The main idea presented here is to approximate FG beams by an equivalent beam with piecewise exponentially varying material properties, geometrical properties and axial load. Numerical solutions of the buckling analysis are obtained for four various types of boundary conditions associated with pinned and clamped ends. The usefulness of the proposed method is confirmed by comparing numerical results with those available for graded beams of special polynomial non-homogeneity.
Rocznik
Strony
95--102
Opis fizyczny
Bibliogr. 11 poz., rys., tab.
Twórcy
  • Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland
Bibliografia
  • [1] Suresh S., Mortensen A., Fundamentals of Functionally Graded Materials, The University Press, Cambridge 1998.
  • [2] Vo T.P., Thai H-T., Nguyen T-K., Maheri A., Lee J., Finite element model for vibration and buckling of functionally graded sandwich beams based on a refined shear deformation theory, Engineering Structures 2014, 64, 12-22.
  • [3] Li S-R., Batra R.C., Relations between buckling loads of functionally graded Timoshenko and homogeneous Euler-Bernoulli beams, Composite Structures 2013, 95, 5-9.
  • [4] Yang J., Chen Y., Free vibration and buckling analyses of functionally graded beams with edge cracks, Composite Structures 2008, 83, 48-60.
  • [5] Singh K.V., Li G., Buckling of functionally graded and elastically restrained non-uniform columns, Composites B 2009, 40, 393-403.
  • [6] Shahba A, Rajasekaran S., Free vibration and stability of tapered Euler-Bernoulli beams made of axially functionally graded materials, Appl. Math. Model. 2012, 36, 3094-3111.
  • [7] Shahba A., Attarnejad R., Tavanaie Marvi M., Hajilar S., Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams with classical and non-classical boundary conditions, Composites B 2011, 42, 801-808.
  • [8] Huang Y., Luo Q.Z., A simple method to determine the critical buckling loads for axially inhomogeneous beams with elastic restraint, Comput. Math. Appl. 2011, 61, 2510-2517.
  • [9] Kukla S., Rychlewska J., Free vibration of axially functionally graded Euler-Bernoulli beams, Journal of Applied Mathematics and Computational Mechanics 2014, 13(1), 39-44.
  • [10] Rychlewska J., Buckling analysis of axially functionally graded beams, Journal of Applied Mathematics and Computational Mechanics 2014, 13(4), 103-108.
  • [11] Wang C.M., Wang C.Y., Reddy J.N., Exact Solutions for Buckling of Structural Members, CRC Press, LLC, Florida 2005.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-8cc1dcf9-1088-40d4-98ed-e4d9ddd3a360
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