ON THE APPLICATION OF IHB TECHNIQUE TO THE ANALYSIS OF NONLINEAR OSCILLATIONS AND BIFURCATIONS

The main objective of this paper is to introduce certain refinements a nd alternative formulations, which enhance the applicability and avail ability of the intrinsic harmonic balancing technique. This is achieve d by considering certain illustrative examples concerning non-linear o scillations and dynamic bifurcation phenomena. Indeed, the bifurcation behaviour of a harmonically excited non-autonomous system is analyzed conveniently, with reference to the corresponding autonomous system, by applying the IHB technique, which yields the bifurcation equation a s an integral part of the perturbation procedure. A symbolic computer language, namely MAPLE, facilitates the analysis as well as the verifi cation of the ordered approximations to the solutions. The methodology lends itself to MAPLE readily, which in turn, enhances the applicabil ity of the IHB technique. (C) 1998 Academic Press.