Fine-Tuning of the Oscillation Frequency in Slender Mechanical Beam-Systems Through the Use of Smart Materials Features

K. Kulińskia, K. Sokółb aCzestochowa University of Technology, Faculty of Civil Engineering, Akademicka 3, 42-218 Częstochowa, Poland bCzestochowa University of Technology, Faculty of Mechanical Engineering, al. Armii Krajowej 21B, 42-201 Częstochowa, Poland

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In the study of physics and engineering, natural vibrations are a fundamental characteristic of all systems covering microscopic particles up to large-scale structures. In this work, the significance of active structures technology application and its features for altering the vibration frequency far from the excitation band in slender geometrically non-linear beam-systems is emphasized. The subject of interest covers a hosts beam members with surface-bonded active/passive piezoelectric layers. By precisely adjusting the voltage across these layers based on their poling direction and electric field vector, it is possible to create non-zero stress along the beam, adjusting its eigenfrequency. The provided study is based on the mathematical formulation and derived motion equations using Hamilton's principle, taking into account the linear stress-strain relationship with electro-mechanical coupling. The influence of physical parameters and piezoelectric actuation on the fine-tuning of vibration frequency are investigated. The obtained numerical results clearly indicate that the vibration frequency not only changes non-linearly with the piezo-layers location and their structural parameters, but also the piezoelectric actuation can be efficiently used to additionally alter the systems' dynamic response.

DOI:10.12693/APhysPolA.146.786 topics: dynamic response modification, vibration frequency, piezoelectric actuation, active structures