Open AccessOn modelling and adaptive control of a linear smart beam model interacting with fluid
Author(s) -
Hayder F. N. Al-Shuka,
Kareem Jawad Kadhim,
AbdnoorJameel Shaheed Al-hamadani
Publication year - 2021
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1091/1/012008
Subject(s) - beam (structure) , control theory (sociology) , galerkin method , physics , actuator , vibration , discretization , timoshenko beam theory , partial differential equation , adaptive control , harmonic , vibration control , mechanics , mathematical analysis , mathematics , computer science , nonlinear system , acoustics , optics , control (management) , quantum mechanics , artificial intelligence
This paper deals with modelling and control of Euler-Bernoulli smart beam interacting with a fluid medium. Several distributed piezo-patches (actuators and/or sensors) are bonded on the surface of the target beam. To model the vibrating beam properly, the effect of the piezo-patches and the hydrodynamic loads should be taken into account carefully. The partial differential equation PDE for the target oscillating beam is derived considering the piezo-actuators as input controls. Fluid forces are decomposed into two components: 1) hydrodynamic forces due to the beam oscillations, and 2) external (disturbance) hydrodynamic loads independent of beam motion. Then the PDE is discretized using the Galerkin approach to obtain standard multi-modal equations. An adaptive approximation control structure is proposed to suppress the beam vibration. The controller consists of a proportional-derivative PD control plus an adaptive approximation compensator AAC with guaranteed stability. A simply supported beam with 2 piezo-patches interacting with fluid is simulated. The disturbance hydrodynamic force that excites the beam vibration is assumed as a harmonic force with 50 Hz frequency and 1 N amplitude. The results prove the efficacy of the proposed control architecture.