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

Table 2

Fundamental frequency parameter 𝜆(=𝜔𝑎²𝜌^1/2/2000𝜋ℎ) of a simply supported sandwich square plate (Φ=0,𝑎/ℎ=10,𝜌=𝜌_𝑖ℎ_𝑖/ℎ).

Mesh	1 rectangular	2 quadrilateral	4 quadrilateral
𝑝=1	230.930	228.647	224.015
𝑝=2	224.341	220.846	217.495
𝑝=3	217.327	217.333	217.294
𝑝=4	217.301	217.298	217.291
𝑝=5	217.291	217.291	217.291
2D solution [22]		216.602
3D solution [42]		214.933