ABSTRACT
The equation of motion governing the linear bending of elastic plates is given by Eq. (3.8.5). In the absence of thermal loads and without elastic foundation (i.e., k = 0), the equation reduces to
−I2 Ã
+ ∂4w0 ∂t2∂y2
! = q (9.1.1)
where Dˆ12 = 2(D12 + 2D66) and
I0 = ρ0h, I2 = ρ0h3
12 (9.1.2)
We use Eq. (9.1.1) to determine the natural frequencies of vibration and the transient response of rectangular plates.
