Abstract
A number of results are presented, relating to the matrix equation
Aq̣̈ + Bq̇ + Cq = Q(t)
. It is not assumed that the system matrices
A, B
and
C
possess any of the familiar properties (of symmetry, skew symmetry or positive definiteness). These results relate to free motion in which
Q(t)
= 0, to forced harmonic motion in which
Q(t) = ϕ
e
iωt
and to transient vibration in which
Q(t)
is an arbitrary function of time.
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