Structural-Electrical-Coupled Formulation for the Free Vibration of a Piezoelectric-Laminated Plate Using the Analytical Arbitrary Quadrilateral p Element

Table 4

Nondimensional frequencies (𝜔𝑎²𝜌^1/2/2000𝜋ℎ) of a simple supported square plate with different potential boundary conditions.

Mode No.	𝐷𝑧=0		Φ=0
	Reference [22]	This paper	Reference [22]	This paper
1	246.07	236.96	246.07	234.97
2	559.62	536.14	559.62	530.74
3	693.61	678.30	693.60	674.10
4	967.16	938.32	967.14	930.60
5	1091.5	1051.69	1091.46	1040.93