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Displacement potential approach to solution of stiffened orthotropic composite cantilever beams under combined loading

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Języki publikacji
EN
Abstrakty
EN
In this paper, a stiffened cantilever beam of orthotropic composite materials is considered in order to analyze the elastic field due to combined loading (i.e., parabolic shear and varying axial loading at the tip). The supporting edge of the beam is rigidly fixed. Fibers are directed along the length of the beam. Following a new approach of displacement potential, the mixed-boundary-value elastic problem is formulated in terms of a single potential function, ?. The solutions are obtained in the form of infinite series. Some numerical results of different stress and displacement components at different critical sections of the beam are presented in the form of graphs. The effects of the beam aspect ratio and material orthotropy on the stresses and displacements are investigated in details. The analytical results obtained by [...] formulation at a particular section of the beam are compared to those of FEM.
Rocznik
Strony
21--41
Opis fizyczny
Bibliogr. 22 poz., wykr.
Twórcy
Bibliografia
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  • Ahmed S.R., Khan M.R., Islam K.M.S. and Uddin M.W. (1998): Investigation of stresses at the fixed end of deep cantilever beams. - Computers and Structures, vol.69, pp.329-338.
  • Ahmed S.R., Idris A.B.M. and Uddin M.W. (1999): An alternative method for numerical Solution of mixed boundary-value elastic problems. - Journal of Wave-Material Interaction, vol.14, No.1-2, pp.12-25.
  • Ahmed S.R., Nath S.K.D. and Uddin M.W. (2005):Optimum shapes of tire-treads for avoiding lateral slippage between tires and roads. - International Journal for Numerical Methods in Engineering, vol.64, pp.729-750.
  • Ahned S.R., Hossain M.Z. and Uddin M.W. (2005): A general mathematical formulation for finite-difference solution of mixed-boundary-value problems of anisotropic materials. - Computers and Structures, vol.83, pp.35-51
  • Akanda M.A.S, Ahmed S.R., Khan M.R. and Uddin M.W. (2000): A finite difference scheme for mixed boundary-value problems of arbitrary-shaped elastic bodies. - Advances in Engineering Software, vol.31, No.3, pp.173-184.
  • Akanda M.A.S., Ahmed S.R. and Uddin M.W. (2002): Stress analysis of gear teeth using displacement potential function and finite differences. - International Journal for Numerical Methods in Engineering, vol.53, pp.1629-1640.
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  • Horgan C.O. and Knowels J.K. (1983): Recent developments concerning Saint Venant's principle. - Advances in Applied Mechanics, vol.23, pp.179-269.
  • Idris A.B.M., Ahmed S.R. and Uddin M.W. (1996): Analytical solution of a 2-D elastic problem with mixed boundary conditions. - Journal of the Institution of Engineers (Singapore), vol.36, pp.11-17.
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  • Nath S.K.D, Ahmed S.R. and Afsar A.M. (2006): Displacement potential solution of short stiffened flat composite bars under axial loading. - Int. J. of Applied Mechanics and Engineering, vol.11, pp.557-575.
  • Nath S.K.D., Afsar A.M. and Ahmed S.R. (2007): Displacement potential solution of elastic field in deep stiffened cantilever beams of orthotropic composite materials. - Journal of Strain Analysis, vol.42, pp.529-541.
  • Nath S.K.D., Afsar A.M. and Ahmed S.R. (2007): Displacement potential approach to solution of stiffened orthotropic composite panels under uniaxial tensile load. - Proc. IMechE Part G: J. Aerospace Engineering, vol.221, pp.869-881.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0035-0002
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