Abstract
In this paper, the maximum obtainable energy from a galloping cantilever beam is found. The system consists of a bluff body in front of wind which was mounted on a cantilever beam and supported by piezoelectric sheets. Wind energy caused the transverse vibration of the beam and the mechanical energy of vibration is transferred to electrical charge by use of piezoelectric transducer. The nonlinear motion of the Euler–Bernoulli beam and conservation of electrical energy is modeled by lumped ordinary differential equations. The wind forces on the bluff body are modeled by quasisteady aeroelasticity approximation where the fluid and solid corresponding dynamics are disconnected in time scales. The linearized motion of beam is limited by its yield stress which causes to find a limit on energy harvesting of the system. The theory founded is used to check the validity of previous results of researchers for the effect of wind speed, tip cross-section geometry, and electrical load resistance on onset speed to galloping, tip displacement, and harvested power. Finally, maximum obtainable average power in a standard RC circuit as a function of deflection limit and synchronized charge extraction is obtained.
Highlights
Piezoelectric energy harvester uses the ambient energy and transfers it into electric charge [1,2,3,4,5,6,7]. e parametric study and the design of piezoelectric energy harvesting from galloping motion is studied by Barrero-Gil et al [1]
Jamalabadi et al [6, 7], this paper addressed the problem to the linear assumption of force-deflection relation for the Euler–Bernoulli beam. is research proposes to consider the limitation of the yield stress of piezoelectric material as the maximum point of mechanical stability as well as energy harvesting
A bluff body exposed to the free stream is mounted on an Euler–Bernoulli cantilever beam. e two piezoelectric wafers are attached on free surfaces of beam which are in an electric circuit with electric impedance. e y-direction galloping of the bluff body in the first mode of the structure is modeled by Abdelkefi et al [4] by Mathematical Problems in Engineering
Summary
Piezoelectric energy harvester uses the ambient energy and transfers it into electric charge [1,2,3,4,5,6,7]. e parametric study and the design of piezoelectric energy harvesting from galloping motion is studied by Barrero-Gil et al [1]. E integration of equations (1) and (2) term for half period of motion, the onset of galloping, the maximum deflection of the beam, and power harvesting which are. The limitation considered in equation (7) affected the results, where soon after the onset of galloping, the system experienced the tear in the piezoelectric wafers and the harvesting of the wind energy is stopped.
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