Vibration of a Non-Ideal Simply Supported Euler Bernoulli FG Beam Excited by a Moving Oscillator on Viscoelastic Pasternak Foundation

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Gharini, Mohammad | 2011

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 42018 (08)
University: Sharif University of Technology
Department: Mechanical Engineering
Advisor(s): Ahmadian, Mohammad Taghi
Abstract:
In this thesis, the influence of nonideal boundary conditions on the vibration of a functionally graded beam excited by a moving oscillator on Pasternak-type viscoelastic foundation has been investigated. The beam has simply-supported boundary conditions and is assumed that the right-hand-side boundary conditions allows for small deflection, moment and axial force. The beam property gradient is assumed to be in the thickness direction and varies according to the power law distribution. The Hamilton's principle is utilized to obtain the governing equations of motion under the assumptions of Euler-Bernoulli beam theory. The equations of motion of the beam are solved using an analytical–numerical method. In this study, the effect of nonideal boundary condition, material distribution ,velocity and natural frequency of the moving oscillator on the beam displacements and stresses are investigated. The Results show that nonideality effects play a very important role on the dynamic responses of the beam.
Keywords:
Oscillators ; Functionally Graded Materials (FGM) ; Functionally Graded Beam ; Viscoelastic-Pasternak Foundation ; Non-Ideal Boundary Condition