Numerical Manifold Method for the Forced Vibration of Thin Plates during Bending

Table 3

Manifold results of the displacement partial derivatives and their relative errors.

Element	𝑥=𝑎/3, 𝑦=𝑏/3, Δ𝑡=5×10^−3 s, 𝑡=50Δ𝑡
	𝑊^′𝑥𝑦 (×10^−2)	𝜂𝑥𝑦	𝑊^′𝑦𝑦 (×10^−1)	𝜂𝑦𝑦
3×3	4.2774	7.85	−4.2777	10.17
5×5	3.9085	1.45	−3.8569	0.66
7×7	3.9712	0.13	−3.8551	0.71
9×9	3.9721	0.15	−3.9208	0.98
Theoretical solution	3.9660	0.00	−3.8827	0.00