
202 Green Electronics Manufacturing
have the experience, tools are needed to assess the vibration fatigue life of
BGA packages during early design stages so as not to wait for product quali-
cation testing, or eld returns, to determine if a problem exists.
=
π
∗
ρ
∗++
f
D
aa
3
.75
2
n
42
(9.1)
=
−υ
D
Eh*
12 *(
3
2
(9.2)
Equation (9.1) shows that the rst mode natural frequency is calculated
based on the plate stiffness D, the density (ρ), the length (a), and width (b).
Equation (9.2) shows that the plate stiffness is calculated based on Young’s
Modulus (E), thickness (h), and Poisson’s ratio (υ). The second equation is
to solve for the displacement ...