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The application to the vibration problems of perturbation-finite differences method

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Abstract (EN)

This thesis consists of four chapters. In the first chapter, some basic concepts, such as discontinuous functions, solvability condition, self-adjoint condition are given. Besides, finite differences technique and method of multiple time-scales are introduced. In the second chapter, the procedure of general solution is presented by a different solution technique. Furthermore, each case is examined separately. In the third chapter, transverse vibrations of beam lying on Winkler type-foundation, the beams with multiple span under vertically spring-support subjected to parametric axial force and the beam-mass system are given as an application of the general model. The equation is become non-dimensional to obtain independent results from material and geometry. In the last chapter, conclusion and suggestions are introduced.

Author

Emine Kahraman

How to Cite

Emine Kahraman (Master Thesis). The application to the vibration problems of perturbation-finite differences method, 2018, Manisa Celal Bayar University.

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