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Linear matrix inequalities control driven for non-ideal power source energy harvesting

Ferreira D. C., Chavarette F. R., Peruzzi N. J.

Journal of Theoretical and Applied Mechanics

2015

Vol. 53 nr 3

605--616

The dynamic model of a linear energy harvester excited by a non-ideal power source is coupled to a controller to maximum vibration adjustment. Numerical analysis is taken to evaluate the energy harvested keeping the vibration optimized for the maximum interaction to the energy source using linear matrix inequalities for control driven. The dimensionless power output, actuation power and net output power is determined. As a result, it is possible to verify that the total energy harvested via exogenous vibration using the proposed controller is increased up to 65 times when in comparison to the open loop system.

Influence of ideal and non-ideal excitation sources on the dynamics of a nonlinear vibro-impact system

Moraes F. H., Pontes B. R. (jr), Silveira M., Balthazar J. M., Brasil R. M. L. R. F.

Journal of Theoretical and Applied Mechanics

2013

Vol. 51 nr 3

763--774

The objective of the present work is to analyze the dynamics of a vibro-impact system consisting of two blocks of different mass coupled by a spring with two stages. Two different types of excitation sources for the system are used in the analysis: the first is an ideal excitation in form of a harmonic force, and the second is a non-ideal excitation in form of a DC electric motor with limited power supply which has an unbalanced rotor. The control parameter for both situations is the excitation frequency of the system. The analysis includes time histories of displacements and velocities, phase portraits and diagrams of the displacement and frequency, used to show the Sommerfeld effect. For certain values of the parameters of the system, the motion is chaotic. The mathematical model of the system is used to obtain an insight to the global dynamics of the vibro-impact system. The model with a non-ideal excitation is more realistic, complete and complex than the model with the ideal excitation.