Abstract
The paper is concerned with damping of beam and shaft vibrations using piezoelements with external shunting circuits. Usually, distributed piezoactuators are applied to beams or plates to contract curvature occurring during transverse vibrations. Here, an alternative concept of vibration control is explored consisting in utilising additional dissipation in shunting circuits of piezoelements bonded to a beam or shaft surface. Attention is focused on a cantilever beam subject to tip-concentrated follower load (Beck’s column) and/or to kinematic excitation by clamped edge motion. Efficiency of piezodamping is studied in both stabilising the equilibrium and reduction of resonance. On the other hand, the effect of shunting is examined in case of ring-like piezotransducers controlling torsional vibrations of a shaft under harmonic excitation. A shift of resonance zone and reduction of top vibration amplitudes are shown as functions of shunting parameters. Application of piezoelements in vibration control of shafts is developed into a concept of a structural piezoactive material controlled by external voltage coupled with the current state of the shaft. Making use of smart technology combining passive composites with active fibers permanently embedded into their structure is discussed. Fundamentals of active reduction of torsional vibration of a shaft entirely made of the smart piezoceramic composite are proposed and analysed. It is proved that this method may occur advantageous both because of increased strength-to-weight properties as well as enhanced ability to damp torsional vibrations of the system.
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Acknowledgements
The paper is dedicated to Professor Reinhold Kienzler on the occasion of his 70-th birthday, in recognition of his outstanding achievements in applied mechanics and extraordinary efforts as the Co-chairman of the two-decade long series of German-Greek-Polish Symposia on Recent Advances in Mechanics.
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Kurnik, W., Przybyłowicz, P. (2018). Application of Piezoelements in a Structured Thin-Walled Shaft Material to Active Control of Stability and Vibration. In: Altenbach, H., Jablonski, F., Müller, W., Naumenko, K., Schneider, P. (eds) Advances in Mechanics of Materials and Structural Analysis. Advanced Structured Materials, vol 80. Springer, Cham. https://doi.org/10.1007/978-3-319-70563-7_11
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