I. Paik et Jm. Roesset, USE OF QUADRATIC TRANSFER-FUNCTIONS TO PREDICT RESPONSE OF TENSION LEG PLATFORMS, Journal of engineering mechanics, 122(9), 1996, pp. 882-889
Higher-order nonlinear transfer functions are applied to model the com
puted nonlinear responses obtained from the dynamic analysis of a tens
ion leg platform (TLP). Under the nonlinear wave-loading condition con
sidered in the present study, the horizontal motion of TLP exhibits a
significant amount of response components at frequencies that are outs
ide the range of the excitation frequencies, but which are near the na
tural frequency of the TLP. Higher-order nonlinear transfer functions
based on a Volterra series representation are used to model these nonl
inear responses that cannot be properly represented with a linear tran
sfer function only. The transfer function model clearly shows the degr
ees of nonlinearity of these responses as strongly quadratic. To exami
ne the applicability of the nonlinear transfer functions, both the qua
dratic transfer functions obtained from a wave spectrum and the corres
ponding responses were applied to other wave spectra with different ma
gnitude of wave power, and the results are discussed.