Abstract
Active Vibration Control (AVC) using smart structure is used to reduce the vibration of a system by automatic modification of the system structural response. AVC is widely used, because of its wide and broad frequency response range, low additional mass, high adaptability and good efficiency. A lot of research has been done on Finite Element (FE) models for AVC based on Euler Bernoulli Beam Theory (EBT). In the present work Timoshenko Beam Theory (TBT) is used to model a smart cantilever beam with surface mounted sensors / actuators. A Periodic Output Feedback (POF) Controller has been designed and applied to control the first three modes of vibration of a flexible smart cantilever beam. The difficulties encountered in the usage of surface mounted piezoelectric patches in practical situations can be overcome by the use of embedded shear sensors / actuators. A mathematical model of a smart cantilever beam with embedded shear sensors and actuators is developed. A POF Controller has been designed and applied to control of vibration of a flexible smart cantilever beam and effect of actuator location on the performance of the controller is investigated. The mathematical modeling and control of a Multiple Input multiple Output (MIMO) systems with two sensors and two actuators have also been considered.
Highlights
Undesired noise and vibrations have always been a major problem in many human activities and domains
An integrated Finite Element (FE) model to analyze the vibration suppression capability of a smart cantilever beam with surface mounted piezoelectric devices based on Timoshenko Beam Theory (TBT) is developed
In this work a FE model of a smart cantilever beam have been obtained by varying the AR from to 15, the length of the beam is kept constants and the thickness of the beam is varied
Summary
Undesired noise and vibrations have always been a major problem in many human activities and domains. Hanagud et al [11] developed a FE model for an active beam based on EBT and applied optimal output feedback control. Hawang et al.[13] developed a FE model for vibration control of a laminated plate with piezoelectric sensors /and actuators. Narayan and Balamurugan [18] have presented finite element formulation for the active vibration control study of smart beams, plates and shells and the controlled response is obtained using classical and optimal control strategies. Aldraihem and Khdeir [2] proposed analytical models and exact solutions for beams with shear and extension piezoelectric actuators. The smart cantilever model is developed using a piezoelectric beam element, which includes sensor and actuator dynamics and a regular beam element based on TBT assumptions. The element is assumed to have two degree of freedom, a transverse shear force and a bending moment act at each nodal point
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