Free vibration analysis of an Euler beam of variable width on the Winkler foundation using homotopy perturbation method

DOI10.1155/2013/721294zbMath1299.74182OpenAlexW2101515150WikidataQ59028594 ScholiaQ59028594MaRDI QIDQ474563

Utkan Mutman

Publication date: 24 November 2014

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/721294

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Solutions to PDEs in closed form (35C05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

Thermal vibration of nonhomogeneous Euler nanobeam resting on Winkler foundation ⋮ Static analysis of composite beams on variable stiffness elastic foundations by the homotopy analysis method ⋮ Analysis of tapered Timoshenko and Euler-Bernoulli beams on an elastic foundation with moving loads ⋮ Nonlinear free vibration of a beam on Winkler foundation with consideration of soil mass motion of finite depth

Cites Work

• Analysis of the vibration of an elastic beam supported on elastic soil using the differential transform method
• The response of a finite beam on a tensionless Pasternak foundation subjected to a harmonic load.
• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• A mixed method for bending and free vibration of beams resting on a Pasternak elastic foundation
• Asymptotology by homotopy perturbation method
• Homotopy perturbation method for solving boundary value problems
• Bending of beams on three-parameter elastic foundation
• Limit cycle and bifurcation of nonlinear problems
• Application of homotopy perturbation method to nonlinear wave equations
• Free vibrations of Timoshenko beams on two-parameter elastic foundation

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