GRANT OPUS 12 - 2016/23/B/ST8/01865

Title"Nonlinear dynamics of coupled electro-mechanical composite beams models applied for rotating structures"
"Nieliniowa dynamika sprzężonych elektro-mechanicznych modeli belek kompozytowych w strukturach wirujących" (in Polish)

Coordinator-Principal Investigator: Prof. Jerzy Warminski
Co-Investigators: Assoc. Prof. Jaroslaw Latalski, Dr. Andrzej Mitura
Young Researchers/PhD Students: MSc Eng. Marcin Kowalczuk, MSc Eng. Lukasz Kloda

Duration: 16.07.2017-16.07.2021
Budget: 750 600 PLN

Keywords:  nonlinear vibrations, control, vibration modes, dynamics of rotating structures, active piezo-composite beams

Project summary: The framework for accurate, integrated two-way coupling modelling of an active electro-mechanical system including a nonlinear constitutive piezoelectric material law as well as enhanced electric field distribution was created within the project. The proposed mathematical models of the structure consider an integrated smart structural system as a whole by adding additional terms representing dynamic properties of the system control unit. The developed analytical model is ready for general purpose analysis of active systems incorporating full dynamics of a master structure as well as control sub-system dynamics. The elaborated models are implemented to study composite structures dynamics taking into account various cross-sections and reinforcing fibres placement which may lead to selected mode couplings. The piezo-blades are applied to a rotating structure composed of a hub and three flexible beams. The Partial Differential Equations (PDEs) are derived on the basis of the extended Hamilton's principle of least action, considering two-way coupling of electrical and mechanical fields and a moving coordinates frame. The resonance curves, bifurcation and stability analysis characteristics are presented and compared to the result available in the literature. The elaborated models are validated experimentally for selected cases and dynamics of the rotor is checked when the voltage to the active PZT element is supplied. The model is used to design control strategy in order to reduce vibrations of the blades. The project results have impact on a few scientific areas: nonlinear mechanics, mechatronics, control, mathematical, analytical and numerical methods. Results can be implemented in mechanical, aviation or aerospace structures.