The mathematical model of unsteady velocity sensitive thermoacoustic intera
ctions in a heated duct (generalized Rijke tube) reported by the authors in
a previous publication is used to predict non-linear response. Both closed
form and numerical solutions of equations derived by an approximate modal
analysis are presented and employed to illustrate and investigate the boots
trapping instability mechanism observed in rocket motors. (C) 2001 Elsevier
Science Ltd. All rights reserved.