Loading...

Dynamic Analysis of a Simply Supported Functionally Graded Material Euler-Bernoulli Beam under a Moving Oscillator

Rajabi, Kaveh | 2011

550 Viewed
  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 42048 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Kargarnovin, Mohammad Hossein
  7. Abstract:
  8. In recent decades, employing composite has growing field in various industries due to distinct features like high specific stiffness and strength. Functionally graded materials are clasified as inhomogeneous composite materials. Nowadays many researchers are investigating the behaviors of plates, shells and beam liked structures made of FGMs. In this project the dynamic behaviors of a FGM simply supported beam under a moving oscillator are studied. The beam properties are assumed to be varied through the thickness following a simple power law distribution. The system of equations of motion is derived by using Hamilton’s principle under the assumptions of the Euler–Bernoulli beam theory. Trial functions denoting the transverse and the axial deflections of the beam are expressed in trigonometric forms. After verifying the current model, governing equations are solved by using an analytical-numerical method. In this study, the effects of various parameters such as different material distribution, velocity of moving oscillator, mass and spring constant of oscillator, slenderness ration of the beam and geometric dimensions of the beam on the natural frequencies and dynamics characteristics of the FGM beam are discussed. Results show that the above-mentioned effects play very important role on the dynamic response of the beam and also the method of solution is accurate and efficient enough
  9. Keywords:
  10. Dynamic Analysis ; Petrov-Galerkin Approach ; Euler-Bernoulli Beam ; Hamilton Principle

 Digital Object List

 Bookmark

No TOC