Simulation Study of Active Vibration Control of Cantilever Beam by Using State and Output Feedback Control Laws
15 Nov 2013-
TL;DR: In this paper, the full model of a cantilever beam is reduced by discarding those modes which do not contribute to the overall response on the basis of their dc gains in MATLAB©.
Abstract: Undesired noise and vibrations have a detrimental effect in many areas. Hence the control of vibrations has become a relevant technological challenge. Active vibration control of structures using smart materials especially is in vogue. It involves sensing the motion of the structure using sensors, generating a control signal using a controller and applying a control force on the structure using actuators. To design the control system of any vibrating structure, the mathematical model of the system is required. However, it is not possible, to theoretically construct the model of complex structures. On the other hand, it is relatively simpler to model such systems in an Finite Element (FE) environment like ANSYS©. This paper deals with the extraction of the mathematical model of a cantilever beam from its FEA model. This procedure of extraction is applicable to any mechanical system under dynamics study. Then again, the matrices thus formed are usually very large and require a lot of computational time to process. Hence an attempt is made to construct the reduced model of the system which approximates the actual model to the desired extent. In this paper, the full model of the beam is reduced by discarding those modes which do not contribute to the overall response on the basis of their dc gains in MATLAB©. It is found that the frequency and transient responses of the full and reduced models match closely. Hence the reduced model may be used to represent the system instead of the full model with reasonable accuracy. Design of controller is attempted using the theory of state and output feedback control laws. The controller is modeled by calculating the optimal control gain by formulating an algorithm to solve the equations involved. The transient and frequency responses of the controlled full model and reduced models are then plotted. The procedure for designing controller described in this paper may be extended to any real world system.© 2013 ASME
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TL;DR: In this paper, a study of active vibration control of functionally graded beams with upper and lower surface-bonded piezoelectric layers was performed using the finite element method (FEM).
Abstract: This paper reports on a study of active vibration control of functionally graded beams with upper and lower surface-bonded piezoelectric layers. The model is based on higher-order shear deformation theory and implemented using the finite element method (FEM). The proprieties of the functionally graded beam (FGB) are graded along the thickness direction. The piezoelectric actuator provides a damping effect on the FGB by means of a velocity feedback control algorithm. A Matlab program has been developed for the FGB model and compared with ANSYS APDL. Using Newmark’s method numerical solutions are obtained for the dynamic equations of FGB with piezoelectric layers. Numerical results show the effects of the constituent volume fraction and the influence the feedback control gain on the frequency and dynamic response of FGBs.
20 citations
Cites methods from "Simulation Study of Active Vibratio..."
...Yelve et al. (2008) demonstrated the use of ANSYS for simulating active vibration control of a structure with the aid of smart materials....
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TL;DR: A new method to control the ladder vibration on the turntable ladder is presented and it is shown that the group minimizes the number of variables in the motion equation and linearizes it.
Abstract: Our previous study showed the effect of pre-tension onto oscillation at the top of a ladder in raising and lowering processes on turntable ladders when steel wire ropes are added to ladder handrails. However, the oscillation was not switched off quickly. To quickly extinguish oscillation, we use steel ropes and a hydraulic system that is available on the truck to control the vibration. Based on the available multibody dynamic system and motion equation of the ladder, the group minimizes the number of variables in the motion equation and linearizes it. Thereafter, the vibration of the system is controlled and simulated by Matlab-Simulink software. This study presents a new method to control the ladder vibration on the turntable ladder.
3 citations
15 Jan 2021
TL;DR: In this paper, an experimental and simulation technique is used to study the control of vibration of a smart cantilever beam using active vibration control method, which is an efficient method to eliminate the undesired vibration.
Abstract: For many of the applications a light weight system with higher speed need to be designed. But vibration is a prominent factor in this case. Active vibration control method is an efficient method to eliminate the undesired vibration. This technique finds application in many engineering fields. Vibration control of a smart cantilever beam using this method is presented in this study. Both experimental and simulation techniques are used to study the control of vibration of the beam. Various classical controllers like Proportional, Proportional - Integral, and Proportional -Integral Plus Derivative controllers are used and performances of these controllers are compared. An experimental set up is made for this study and controllers are designed in LabView©platform. A closed loop control system is developed to study active vibration control technique. The experimental result shows effective control of vibration of the beam structure using different classical controllers. In the present study, simulation is also carried out to demonstrate the active vibration control of cantilever beam. ANSYS© and MATLAB© softwares are used for this purpose. Both open loop and closed loop transient responses of the beam are obtained and the results show the effective vibration suppression of the beam. Finally, the experimental and simulation results are compared.
2 citations