چكيده به لاتين
Abstract:
Nowadays, the speed of the trains and passenger coaches is increasing all over the world. Studying the vibrations of the plates used in the body of the high speed trains is an important problem. Undesirable vibrational behavior of such plates can lead to instability and unwanted noise. Among all types of vibrations, chaotic vibrations should essentially be investigated because of its undetermined nature. Chaos in the plates can make unpredictable behaviors and also lead to fatigue damage. So, this thesis deals with recognizing the chaotic behavior of the plates and controlling this topic. Both types of nonlinear visco-elastic and composite plates are investigated in this study. The plates also are assumed subjected to a subsonic fluid flow. Von-Kármán assumptions are used in order to derive the equation of motion of the plate in three dimensional forms. Galerkin’s approach is used to transform the nonlinear partial differemtial equation of motion of the plate to a set of ordinary differential equations. A frequency analysis is carried out for the plate in Chap. 3. An analytical study is performed in Chap. 4 based on the Melnikov’s function in order to predict the chaos threshod in the plate. Moreover, Chap. 5 deals with investigating chaos in the composite laminated plates. In Chap. 6 chaos controlling in the plates is adopted. Finally, the concluding remarks and corresponding suggestions are listed in Chap. 7.
Keywords: high speed train, chaotic vibrations, nonlinear plate, controlling chaos.