  The motion of spinless particles in Riemann-Cartan (RC) $U_{4}$ and
teleparallel spacetimes is revisited on the light of gravitational waves
hitting on the spinless test particles. It is shown that in the case Cartan
contortion is totally skew-symmetric the spinless particles follow geodesics
but if this symmetry is dropped they are able to follow nongeodesic worldlines
in torsionic background. The case of totally skew contortion and spinning
particles may appear either in $T_{4}$ or $U_{4}$ spacetimes. We consider
$T_{4}$ nongeodesic motion of spinless test particles in the field of
gravitational waves (GW). It is shown that the general contortion obeys a
tensor wave constraint and the analysis of a ring of spinless test particles as
in General Relativity (GR) hit by the GW leads to damping contortion effects on
the nongeodesic motion is undertaken. It is also shown that the contortion and
gravitational waves possess a difference of phase of $\frac{\pi}{2}$ and a
contortion at the surface of the Earth of $10^{-24} s^{-1}$ computed by Nitsch
in the realm of teleparallelism is used to obtain a deviation of the lenght of
the separation of test spinless particles compatible with the GR result. To
obtain this result data from GW LISA detector is used.
