Coupling of in-line and transverse flow-induced vibration can be signi
ficant in several structural engineering applications. In this study,
a particular model already proposed in the literature is adopted. The
relevant equations of this model feature nonlinearities and coupling b
etween the two components of motion. The level of coupling depends on
the relative properties of the flow and the structure. A harmonic bala
nce technique is used to obtain an equivalent coupled system of linear
equations. Higher order harmonics can be readily treated, yielding a
quite general formulation which can be tailored to match the available
computational resources. A parametric study is conducted using the pr
oposed technique, and insight regarding the significance of the coupli
ng of the two components of motion on the overall structural response
is obtained. The proposed technique is applicable to any other refined
model of coupling of in-line and transverse flow-induced vibration wh
ich may become available based on theoretical or experimental fluid me
chanics developments.