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- W4361213863 abstract "Nonlinear free vibrational response of axially functionally graded (AFG) beam embedded on Pasternak foundation and loader under uniformly distributed transverse load is presented. Present work considers a uniform beam, which is modeled by using Euler-Bernoulli’s hypothesis. The variation of the material in AFG beam is considered along the axial direction. A two parameter Pasternak foundation is selected for the foundation of beam, which comprises with a Winkler layer and a shear layer. Winkler layer is the bottom layer, which is modeled by series of linear springs of constant stiffness. Whereas, the top layer is the shear layer, which is defined by constant torsional stiffness value. Geometric nonlinearity developed due to large deformation of beam is taken into consideration. A semi-analytical whole domain analysis is performed, in which Rayleigh-Ritz approximation is used to assume displacement field and energy principle is applied to obtain the governing differential equations. For solving these equations an iterative method is followed. The presented technique is validated by comparing the generated results of present study with the existing results of already published research articles. New set of results are also presented via Mode shapes, backbone curves for different sets of foundation stiffness and material gradation value of beam." @default.
- W4361213863 created "2023-03-31" @default.
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- W4361213863 date "2023-03-01" @default.
- W4361213863 modified "2023-10-02" @default.
- W4361213863 title "Nonlinear free vibration of statically deformed axially functionally graded beam embedded on Pasternak foundation" @default.
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- W4361213863 doi "https://doi.org/10.1016/j.matpr.2023.03.352" @default.
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