Lifli kompozit yapılarda titreşim probleminin varyasyonel asimptotik yöntemle incelenmesi

Thesis Type: Postgraduate

Institution Of The Thesis: Istanbul Technical University, Fen Bilimleri Enstitüsü, Turkey

Approval Date: 2010

Thesis Language: Turkish


Supervisor: Halit Süleyman Türkmen


Fibrous composite structures are widely used in engineering structures such as helicopter blades and wind turbine blades. When it is considered that these structures are mostly exposed to dynamic loads, it becomes essential to analyze vibrations of fibrous composite structures.

Recently, variational asymptotic method is used quite prevalently in the analyses of fibrous composite structures. This method is used for determining homogenized material characteristics in the studies available within the literature. In this study, the related method was applied to vibration problem in the study.

The purpose of the study is to obtain natural frequencies and mod shapes of rectangular section beam made of composite material theoretically and experimentally. For that purpose, first, a composite beam varying periodically was manufactured in laboratory conditions which had a length of 367 mm and 20 mm x 20 mm cross sectional area and of which each cell was made of plexiglas about 8.1 mm in thickness and plywood about 7.2 mm in thickness. Then, the beam was modeled by using one-dimensional and three-dimensional elements in ANSYS finite element program.

Analyses of free vibration and elongation under the effect of static load were obtained for the beam modeled by using ANSYS program. Theoretical results obtained from models prepared by one-dimensional and three-dimensional elements in ANSYS finite element program were compared with those obtained from vibration tests made by manufactured beam by means of variational asymptotic method. It was observed that both natural frequencies and static elongation analyses were quite corresponding with test and theory. For an aluminum beam with same dimensions of manufactured beam, two different models were created by using one- and three-dimensional elements in ANSYS. Then, tests were repeated with this aluminum beam and their results were compared with natural frequency results obtained from finite element program; it was seen that results were quite corresponding with each other.

Natural frequencies of two different beams made of aluminum and Plexiglas with 367 mm length were obtained analytically. Again, free vibration frequencies of these beams were calculated and it was seen that they were corresponding with frequencies obtained experimentally.