An Exact Analytical Solution to Exponentially Tapered Piezoelectric Energy Harvester

Table 3

Comparison of analytic and FEM results.

	0	5	10	15	20
Unimorph
Analytic (V/g)	0.5711	0.499	0.438	0.3842	0.3377
FEM (V/g)	0.592561	0.516427	0.451596	0.395634	0.347023
Difference (%)	3.621737	3.374533	3.010656	2.890045	2.686565
Bimorph series
Analytic (V/g)	0.6252	0.5479	0.4802	0.4214	0.3704
FEM (V/g)	0.64757	0.563801	0.490386	0.430593	0.377891
Difference (%)	3.454453	2.820321	2.077139	2.134963	1.982318
Bimorph parallel
Analytic (V/g)	1.156	1.011	0.8847	0.7751	0.6805
FEM (V/g)	1.18912	1.03459	0.901908	0.788796	0.691405
Difference (%)	2.785253	2.28013	1.907955	1.736317	1.577223