Here the problem is, we cannot able to create uniform mesh for both exponential cantilever beam and rectangular piezoelectric patch. Is there any problem for this analysis?
1. An Exact Analytical Solution to Exponentially Tapered Piezoelectric Energy Harvester,April 2015,Shock and Vibration 2015(1),DOI: 10.1155/2015/426876
Hamed Salmani,G. H. Rahimi, S. A. Hosseini Kordkheil.
Thanks for your answer Chitaranjan Pany sir. I saw that paper sir. In that paper, substrate and piezopatch both are exponentially tapered. So, it is possible to get uniform mesh and each nodes will linked with both piezo and substrate.No problem in simulation. But in my case, the piezo patch is rectangular and substrate is exponentially tapered. So mesh will not uniform here. Because of this, it will affect the simulation results in any manner.
First you create geometry of substrate & piezopatch. After this overlap the both geometry. By doing this a surface similar the bottom surface of piezopatch will be created on substrate. Then you mesh. I hope this will solve your problem.