The Dynamic Response and Failure Model of Thin Plate Rock Mass under Impact Load

Table 1

Deflection and frequency equations of the thin plate rock mass under different boundary conditions.

Thin plate rock mass	Frequency equations	Deflection equations W(x, y)
	x direction:	x direction: W(x) = sin β1x
	y direction:	y direction:
	j = −α1−υβ1^2, f = α2−υβ1^2, m = −α1^3−(2−υ) β1^2α1), n = α2^3−(2−υ) β1^2α2,
	x direction:	x direction:
	y direction:	y direction:
	,
	x direction:	x direction: W(x) = sin β1x
	y direction:	y direction: