  The present day gravitational wave (GW) detectors strive to detect the length
variation $\delta L = h L$, which, owing to the smallness of the metric
perturbation $\sim h$, is an extremely small length $\mathcal{O} \sim 10^{-18}
- 10^{-21}$ meter. The recently proposed noncommutative structure of space has
a characteristic length-scale $\sqrt{\theta}$ which has an estimated
upper-bound in similar length-scale range. We therefore propose that GW data
can be used as an effective probe of noncommutative structure of space and
demonstrate how spatial noncommutativity modifies the responding frequency of
the resonant mass detectors of GW and also the corresponding probabilities of
GW induced transitions that the phonon modes of the resonant mass detectors
undergo. In this paper we present the complete perturbative calculation
involving both time-independent and time-dependent perturbation terms in the
Hamiltonian.
