Nonlinear Vibration Analysis of a Closed Ends ,Fluid-Filled Beam with Different Boundary Condition, Using Galerkin Method

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Parviz Nowruzani, Hadi | 2013

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 44489 (45)
University: Sharif University of Technology
Department: Aerospace Engineering
Advisor(s): Dehghani Firoozabadi, Rouhollah
Abstract:
Presence of fluid in closed ends beam can increase beam hardness against pressure and buckling loads. This behavior is due to incompressibility or very low compressibility of fluids. there is a lot of research in the literature focusing on fluid solid interaction in pipe flow, but there is not any reported research studying on fluid filled beam, where fluid doesn’t flow across the beam. In this research hollow beam is modeled with Euler -Bernoulli beam theorem. Potential energy and kinetic energy is derived with considering the incompressibility of fluid. Nonlinear system of equations is derived using Hamilton principle . this system is taken to time domain using Galerkin and assumed mode method and then system of equations is solved using Runge-Kutta method and nonlinear vibration of beam has studied
Keywords:
Runge-Kutta Method ; Nonlinear Vibration ; Beam Vibration ; Fluid Filled Beam ; Galerkin Method

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