Sf. Asokanthan et Xh. Wang, CHARACTERIZATION OF TORSIONAL INSTABILITIES IN A HOOKES JOINT DRIVEN SYSTEM VIA MAXIMAL LYAPUNOV EXPONENTS, Journal of sound and vibration, 194(1), 1996, pp. 83-91
Dynamic instabilities in a torsional system which incorporates a Hooke
's joint are investigated by means of Lyapunov exponents. Linearized a
nalytical models for the torsional system are established for the purp
ose of stability analysis. The resulting two-degree-of-freedom system
is parametrically excited due to an inherent non-linear velocity ratio
across the Hooke's joint. Instabilities which correspond to sub-harmo
nic as well as combination resonances have been identified by studying
the sign of the top Lyapunov exponent. An efficient forward differenc
e scheme is employed to simulate directly the Lyapunov exponents. Inst
ability conditions have been presented graphically in the excitation f
requency-excitation amplitude-top Lyapunov exponent space. Predicted i
nstability conditions are adequate for the design of two-degree-of-fre
edom Hooke's joint driven systems. (C) 1996 Academic Press Limited