SEGMENTATION OF PIEZOELECTRIC LAYERS BASED ON THE NUMERICAL STUDY OF NORMAL STRAIN DISTRIBUTIONS IN BIMORPH CANTILEVERS VIBRATING IN THE SECOND TRANSVERSE MODE

Abstract

The objective of this paper is to study normal strain distribution along the length of a bimorph piezoelectric cantilever when it is excited at the second mode of transverse vibrations. The analysis was performed with three cantilevers of different shapes: rectangular, optimally-shaped with respect to the second and third transverse modes. The eigen-frequencies of the vibration modes have the same value. Numerical study provided optimal segmentation boundaries, where tensile deformations change into compression ones and vice versa. It is concluded that the optimally-shaped cantilevers had narrower region of uncertainty and smaller ratio of total normal strain amount in the region of uncertainty versus rectangular cantilever. Total normal strain in the bimorph rectangular cantilever was smaller if compared to the optimized cantilevers due to larger losses of strain due to wide region of uncertainty.

DOI: http://dx.doi.org/10.5755/j01.mech.19.4.4477