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Vibration Boundary Control in Micro-beams Equipped with a Layer of Piezoelectric Actuator

| 2015

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 47832 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Salarieh, Hassan; Alasti, Aria; Vatankhah, Ramin
  7. Abstract:
  8. Nowadays, micro systems in many area of science and technology have special importance and status. The main function of these systems is based on the deformation of a beam at micro scale. Therefore study of behavior and control of micro-beams will have a great importance. Among micro-beams, clamped-free and clamped-clamped micro beams that actuated by piezoelectric and electrostatic actuators have wider applications. For example, clamped-free micro-beams are used in atomic force microscopy (AFM), micro switches, mass sensors and micro-accelerometers and clamped-clamped micro-beams are used in micro mirrors and Grating Light Valves (GLV). In this thesis, the studied system is clamped-free micro-beam that actuated by piezoelectric layer laminated on one side of the beam. The dynamic equations of the beam and piezoelectric layer are extracted by Hamilton principle. These equations being stable by using boundary controller. This controller obtained from the Lyapanov theory for decaying vibration of the system. This control law is achieved from the feedback of spatial derivatives of boundary states of the beam and applied in the form of voltage of the piezoelectric. In each section, to illustrate designed controller accuracy, the beam is being modeled by using finite element method and appropriate element which fits to beam is Timoshenko beam element or strain gradient Timoshenko beam element. Finally, the system behavior is examined before and after applying the control voltage through numerical solution
  9. Keywords:
  10. Boundary Control ; Microbeam ; Partial Differential Equations ; Piezoelectric Actuator ; Lyapunov Stability ; Vibration Stability

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