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    Dynamics and Vibration Analysis of An FGM Microresonator Based on Resonantly Interacting Flexural-Torsional Modes

    , M.Sc. Thesis Sharif University of Technology Shoghmand Nazarloo, Ahad (Author) ; Ahmadian, Mohammad Taghi (Supervisor) ; Asempour, Ahmad (Supervisor)
    Abstract
    Resonantly actuated microstructures known as microresoantors, are the basic parts of many of MEMS devices such as highly sensitive pressure sensors, mass sensors, biosensors, RF filters, AFMs , ... . Vibration analysis of microresonators specially that of the coupled in-plane and out-f-plane motions has draught many attentions, during recent years. The purpose of the present thesis was to analyze the vibration and dynamics of an FGM microresonator consisted of a clamped-clamped beam with a relative massive pedal attached to the middle of the beam. By modeling the system initially, linear natural in-plane and out-of-plane frequencies and associated mode shapes are obtained. Results are... 

    Theoretical Investigation Of Chaotic Behavior In Optical Microresonators

    , Ph.D. Dissertation Sharif University of Technology Vahedi, Mohammad (Author) ; Bahrampour, Alireza (Supervisor)
    Abstract
    In this thesis, chaotic behavior of a photonic micro-resonator is investigated. First, a Lagrangian formulation is introduced for the system. Then, by applying a multi-reflection method, a closed formula is obtained for the radiation pressure. Use of this equation in the coupled differential equations describing dynamics of the problem gives us a suitable model for exploring the behavior of the micro-resonator. In this stage, we compare our results with experimental data too. On the other hand, using above mentioned formulation, chaotic behavior of the micro-resonator is investigated using numerical method. Finally, a period-doubling route to chaos appears in our results as is observed in...