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Vibration Analysis of FGM Beam Using RKPM Meshlesh Method

Saljooghi, Reza | 2011

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 41664 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Ahmadian, Mohammad Taghi
  7. Abstract:
  8. Due to special characteristics, nowadays functionally graded materials are of great interest of researchers. Continuous change of properties in these materials,decreases undesirable phenomena such as stresscon centration. On the other hand knowing vibration parameters of structures such as natural frequencies, to avoid damage, is important. So far, many researches have been devoted to vibration analysis of structures, such as beams.In this dissertation, free vibration analysis of FGM beams, are investigated, using RKPM, a meshlesh method. The system of equations of motion is derived using Lagrange’s method under the assumption of Euler-Bernoulli beam theory. Buckling analysis of FGM beams with different end supports, is also investigated and critical buckling loads are evaluated based on displaced neutral axis and zero eigenvalues. Lagrange’s multipliers are used to impose essential boundary conditions.The results obtained from RKPM show that this is an efficient method for vibration analysis of beams. The results match nicely with theoretical predictions and are comparable analytical and numerical findings.
  9. Keywords:
  10. Natural Frequency ; Essential Boundry Condition ; Meshless Method ; Natural Frequency ; Reproducing Kernel Particle Method (RKPM) ; Functionally Graded Materials (FGM) ; Buckling Load

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