Abstract
In the present paper, an analytical model of a flexible beam fixed at an end with embedded shear sensors and actuators is developed. The smart cantilever beam model is evolved using a piezoelectric sandwich beam element, which accommodates sensor and actuator embedded at distinct locations and a regular sandwiched beam element, having rigid foam at the core. A FE model of a piezoelectric sandwich beam is evolved using laminated beam theory in MATLAB?. Each layer behaves as a Timoshenko beam and the cross-section of the beam remains plane and rotates about the neutral axis of the beam, but it does not remain normal to the deformed longitudinal axis. Keeping the sensor and actuator location fixed in a MIMO system, state space models of the smart cantilever beam is obtained. The proper selection of control strategy is very crucial in order to obtain the better control. In this paper a DSM controller designed to control the first three modes of vibration of the smart cantilever beam and their performances are represented on the basis of control signal input, sensor output and sliding functions. It is found that DSM controller provides superior control than other conventional controllers and also MROF DSM controller is much better than SISO DSM controller.
Highlights
Smart structures [1] are systems having particular functions viz. sensing, processing, actuation and making them suitable for structural health conditioning, vibration suppression of structures
In this paper a DSM controller designed to control the first three modes of vibration of the smart cantilever beam and their performances are represented on the basis of control signal input, sensor output and sliding functions
It is found that DSM controller provides superior control than other conventional controllers and Multiple Rate Output Feedback (MROF) DSM controller is much better than SISO DSM controller
Summary
Smart structures [1] are systems having particular functions viz. sensing, processing, actuation and making them suitable for structural health conditioning, vibration suppression of structures. The control technique used on the basis of Bartoszewicz law and does not need to use switching in control function and eradicate chattering This method does not need the reconnaissance of the system states for feedback being using solely the output samples for designing the controller. A discrete output feedback sliding mode control algorithm in [33] based Bartoszewicz’s control law [35] and MROF [36] is used for the vibration suppression of flexible structures. It can be emphasized that this algorithm does not need the assessment of system states for the creation of control input This control technique is used to design a multi-rate output feedback based DSM control to attenuate the transverse disturbance in a flexible structure which is modeled on the basis of Timoshenko beam theory for 3 vibratory modes
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