Analysis of dynamics of a vertical cantilever in rotary coupling to the moving frame with movement limiters

¹ Faculty of Mechanical Engineering, Lublin University of Technology, Nadbystrzycka 36, Lublin 20-618, Poland
² Department of Process Control, AGH University of Science and Technology, Mickiewicz Alley 30, Kraków 30-059, Poland

^a e-mail: p.wolszczak@pollub.pl
^b e-mail: g.litak@pollub.pl

Abstract

The efficiency of the mechanical energy harvesting with the use of vibrating elements can be improved by synchronizing stimulation vibrations and own linear frequencies of systems as well as super or sub harmonics induced by non-linear phenomena. The article presents numerical cross-sectional study of the mechanical system. The system consists of an elastic beam set vertically, which the lower end is fixed in the rotary support, and is stimulated to move in the horizontal axis. The upper end of the beam is free but below its level there are bumpers limiting the free rotation of the beam. Numerical studies took into account the variability of the frequency and amplitude of the excitation beam movement, and horizontal distance between bumpers. Beam deflection was observed, on the basis of which the amount of energy generated by the piezo element was estimated. Nonlinear phenomena and analysis of frequency synchronization of vibrations improving the energy effect of an energy generator are presented.