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- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 55663 (45)
- University: Sharif University of Technology
- Department: Aerospace Engineering
- Advisor(s): Haddadpour, Hassan; Asgari, Mojtaba
- Abstract:
- In this research, mathematical modeling, deriving equations of motion, solving equations and analyzing the response of motion vibrations of a moving mass with constant speed on a sandwich beam have been discussed. The sandwich beam consists of three layers, the middle layer of which is made of viscoelastic material, and the upper and lower layers are the Euler-Bernoulli beam model.At first, this sandwich beam is mathematically modeled, This mathematical modeling includes all the specifications of the system to obtain the equations that govern the behavior of the system. Then, the displacement field of the system has been extracted and the equations of motion of the system have been obtained by the method of variations and Hamilton's principle. In the following, the equations are solved in the form of free vibrations using the analytical-approximate Glerkin method and the natural frequencies of the system are obtained. Then, the equations of motion have been solved by the Newmark-Beta numerical method by considering the effect of external force and Finally, the vibration response of the sandwich beam in the state of moving mass with different speeds is investigated, the effect of the magnetic field parameter, the core thickness and the thickness of the binding layers are analyzed. MATLAB software was used to solve the equations
- Keywords:
- Sandwich Beam ; Viscoelastic Material ; Traveling Mass ; Euler-Bernoulli Beam ; Galerkin Method ; Generalized Newmark Method ; Mathematical Modeling ; Vibrational Analysis
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