Nonlinear Vibrations of a Circular Plate Using Perturbation and Experimental Methods, M.Sc. Thesis Sharif University of Technology ; Navazi, Hossein Mohammad (Supervisor)
Abstract
In this thesis, the nonlinear vibrations of the circular plate is examined using multiple scale methods and experimental tests. At first step, the nonlinear equations governing the problem are written using von Karman's assumption. In the next step, to solve nonlinear equations and calculate natural frequency, the problem is solved using multiple scale method and frequency charts are extracted as a function of the amplitude of vibration. . The design of the setup has been done in such a way that it is possible to simulate the boundary conditions. In the first phase, experimental tests was performed on a 0.3 mm thick aluminum sheet, which did not produce the desired results due to the...
Cataloging briefNonlinear Vibrations of a Circular Plate Using Perturbation and Experimental Methods, M.Sc. Thesis Sharif University of Technology ; Navazi, Hossein Mohammad (Supervisor)
Abstract
In this thesis, the nonlinear vibrations of the circular plate is examined using multiple scale methods and experimental tests. At first step, the nonlinear equations governing the problem are written using von Karman's assumption. In the next step, to solve nonlinear equations and calculate natural frequency, the problem is solved using multiple scale method and frequency charts are extracted as a function of the amplitude of vibration. . The design of the setup has been done in such a way that it is possible to simulate the boundary conditions. In the first phase, experimental tests was performed on a 0.3 mm thick aluminum sheet, which did not produce the desired results due to the...
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