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The Ritz method is employed to derive the governing eigenvalue equation which is then solved by a direct iterative method to obtain the nonlinear vibration frequencies of cracked FGM beams with different end supports.
The application of the theory is demonstrated by two illustrative examples of bending torsion coupled beams with different end conditions, for which the influence of axial force, shear deformation and rotatory inertia on the natural frequencies is studied.
The Ritz method is employed to derive the governing eigenvalue equation which is then solved by a direct iterative method to obtain the nonlinear vibration frequencies of FG-CNTRC beams with different end supports.
In addition, the method is generally applicable to beams with different end and support conditions.
The approximate analytical solution is obtained for axially moving beams with different end conditions, at constant deployment rates.
Similar(55)
The aim of the paper is to investigate the dynamic behaviour of undamaged and damaged reinforced concrete (RC) beams with different constraints: hinged and free-free ends.
We holographically shape the beam by a phase-only spatial light modulator (model HEO 1080 P from HOLOEYE Photonics, resolution 1920 × 1080, pixel size 8 μm) into several copropagating beams with different divergencies and beam directions.
Based on the validation of FE results, the numerical analysis was extended to include additional cases to study the flexural enhancement of RC beams using more TRM layers with different end anchorages.
In this regard in this paper, an analytical solution for reduction of interfacial shear tresses based on edge shape optimization is developed and extended by numerical modal analysis procedure of finite element method (FEM) in retrofitted concrete (RC) beam with fiber reinforced polymer (FRP) plate with different end shapes with different mechanical loading type.
Higher order shear deformation theory was implemented by Kadoli et al. (2008) to study the behavior of the FG beam with variation of material composition based on power law under uniformly distributed load with different end conditions.
The study is restricted to (coped) beams with end plates.
Related(20)
beams with various end
beams with other end
beams with different strand
beams with negative end
beams with different stiffness
beams with generalized end
beams with different ρ
beams with different percentage
beams with welded end
beams with different layer
beams with different web
beams with Cantilever end
beams with different handedness
beams with different design
beams with different reinforcement
beams with different polarization
beams with different eccentricity
beams with different corrosion
beams with different length
beams with different shear
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