Problem Statement of Project
To build a model in MATLAB© based on FEM analysis in ANSYS© for a simply supported beam and identifying the significant modes for the design of controller.
About concept, design, types and technique of active vibration control with smart structure like piezoelectric sensor, controller, actuators. Modal analysis, convergence study of a simply supported beam. Modeling, analysis of integrated structure by ansys, matlab. Obtaining nodal solution, dc gain, filter significant modes, obtain reduced model. Transient analysis, simulation study to control first, second mode.
To build a model in MATLAB© based on FEM analysis in ANSYS© for a simply supported beam and identifying the significant modes for the design of controller.
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Smart Structure comprise of host structure along with Sensors, Actuators & controller networks. Consider a simply supported beam as a smart structure.
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The theoretical analysis of a simply supported beam is necessary to find out the exact values of the natural frequencies. The exact frequencies would be used further to validate the results obtained by the analysis software ANSYS©.
As cross sectional dimensions of our beam are small as compared to its length, it can be treated as Euler Bernoulli Beam [10]. The reference figure for the ANSYS© is shown below.
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FEM analysis software ANSYS© provides many features related to the analysis of the vibrations in a structure. One such feature is transient analysis. Transient analysis in ANSYS© is carried out for any application to study the system properties with respect to time. Transient vibration analysis gives useful information about system damping and other effects of the controlling forces on vibration with a function of time. ANSYS© provides excellent coding features by which the controller logic can be built in itself and controller simulation can be carried out. This feature of ANSYS© is used for active vibration control in the present case.
Controlling analysis is carried out in this section by iterative selection of controller gain. Controller gain is not designed based on the earlier results obtained from MATLAB©. In this section an attempt is made to control the first and second mode of vibration.
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Where,
The value of kc is varied to obtain desired controller effect. But constraint is placed on the maximum value of kc due to voltage. The values of Rayleigh damping are taken as 0.002.
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