N2 - Beams with rectangular cross-section, with large length-to-width ratio, can be excited to torsional vibrations. If the piezoelectric elements are mounted to the beam in pairs at the same cross-section with two separated elements positioned on the same side of the beam, and the voltages applied to them are in the opposite phase, they produce twisting moments which can be applied to reduce the torsional vibrations. Results of FEM simulations are presented and analysed in the paper. All analyses are performed for a steel free-clamped beam. The piezoelectric elements made of PZT material are mounted in pairs on one side of the beam. The analyses are done for separated natural modes. L1 - http://www.journals.pan.pl/Content/101492/PDF/23_paper.pdf L2 - http://www.journals.pan.pl/Content/101492 PY - 2014 IS - No 4 EP - 644 DO - 10.2478/aoa-2014-0069 KW - piezoelectric elements KW - torsional vibrations A1 - Augustyn, Elżbieta A1 - Kozień, Marek S. A1 - Pracik, Michał PB - Polish Academy of Sciences, Institute of Fundamental Technological Research, Committee on Acoustics VL - vol. 39 DA - 2014 T1 - FEM Analysis of Active Reduction of Torsional Vibrations of Clamped-Free Beam by Piezoelectric Elements for Separated Modes SP - 639 UR - http://www.journals.pan.pl/dlibra/publication/edition/101492 T2 - Archives of Acoustics