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Original Articles

General analysis of stressed beams on elastic foundation subjected to discontinuous loads

Pages 388-394 | Received 06 Apr 2015, Accepted 23 Mar 2016, Published online: 31 May 2016

References

  • Adomian G. 1994. Solving frontier problems of physics: the decomposition method. Vol. 60 of the fundamental theories of physics. Boston (MA): Kluwer Academic Publishers.
  • Ahmad F, Ullah MZ, Jang TS, Alaidarous ES. 2014. An efficient method for the static deflection analysis of an infinite beam on a nonlinear elastic foundation of one-way spring model. Ships Offshore Struct. doi:10.1080/17445302.2014.956381.
  • Ali J. 2012. One dimensionless differential transform method for some higher order boundary value problems in finite domain. Int J Contemp Math Sci. 7(6):263–272.
  • Bahnasawi AA, El-Tawil MA, Abdel-Naby A. 2004. Solving Riccati differential equation using Adomian's decomposition method. Appl Math Comput. 157:503–514.
  • Chen CN. 2002. DQEM vibration analysis of non-prismatic shear deformable beams resting on elastic foundations. J Sound Vib. 255(5):989–999.
  • Dinev D. 2012. Analytical solution of beam on elastic foundations by singularity functions. J Eng Mech. 19(6):381–392.
  • He JH. 2007. Variational iteration method: some recent results and new interpretations. J Comput Appl Math. 207:3–17.
  • Jin L. 2008. Homotopy perturbation method for solving partial differential equations with variable coefficients. Int J Contemp Math Sci. 3:1395–1407.
  • Lokshin AZ, Mishkevich VG, Ivanov LD. 2008. Buckling of a simply supported beam on an elastic foundation supported within its span with elastic supports. Buckling of grillages. Ships Offshore Struct. 3(2):99–104
  • Mullapudi R, Ayoub A. 2010. Nonlinear finite element modeling of beams on two-parameter foundations. Comput Geotech. 37:334–342.
  • Naidu NR, Rao GV. 1996. Vibrations of initially stressed uniform beams on a two-parameter elastic foundation. Comput Struct. 57(5):941–943.
  • Noor MA, Mohyud-Din ST. 2008. Modified variational iteration method for heat and wave-like equations. Acta Appl Math. 104(3):257–269.
  • Taha MH. 2014. Recursive differentiation method: application to the dynamics of beams on two parameter. Ships Offshore Struct. doi:10.1080/17445302.2014.985470.
  • Taha MH, Doha EH. 2015. Recursive differentiation method: application to the analysis of beams on two parameter foundations. J Theor Appl Mech. 53(1):15–26.
  • Taha MH, Nassar M. 2014. Analysis of axially loaded tapered beams with general end restraints on two parameter foundation. J Theor Appl Mech. 52(1):215–225.
  • Taha MH, Nassar M. 2015. Analysis of stressed Timoshenko beams on two parameter foundations. KSCE, J Civil Eng. 19(1):173–179.
  • Tan Y, Abbasbandy S. 2008. Homotopy analysis method for quadratic Riccati differential equation. Commun Nonlinear Sci Numer Simul. 13(3):539–546.
  • Wazwas AM. 2001. The numerical solution of fifth-order boundary value problems by decomposition method. J Comput Appl Math. 136:259–270.
  • Yavari A, Sarkani S, Reddy JN. 2001. Generalized solution of beams with jump discontinuities on elastic foundations. Arch Appl Mech. 71:625–639.

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