Research Article

An Efficient Spectral Element Model with Electric DOFs for the Static and Dynamic Analysis of a Piezoelectric Bimorph

Table 3

Natural frequencies for different order of Legendre polynomials (Hz).

Mesh 2 quadrilaterals3 quadrilaterals8 quadrilaterals

Mode 121212

643814731629214403619914183
624114286621314183619614171
620114180619214171619114168
619314176619114166619114166