Publications [#282497] of Lawrence N. Virgin

Papers Published

1. Murphy, KD; Bayly, PV; Virgin, LN; Gottwald, JA, Measuring the stability of periodic attractors using perturbation-induced transients: applications to two non-linear oscillators, Journal of Sound and Vibration, vol. 172 no. 1 (1994), pp. 85-102, Elsevier BV [1160], [doi]
   (last updated on 2023/06/01)

   Abstract:
   In this paper a combined analytical, numerical and experimental approach is used to study the behavior of small, perturbation-induced transients superimposed on a periodic steady state. The behavior of these transients is monitored in terms of characteristic multipliers as a control parameter is changed and instability is approached. Two non-linear mechanical oscillators are used which exemplify the application of these concepts to physical systems.

   Keywords:
   Perturbation techniques;Control systems;Oscillators (mechanical);Conformal mapping;Vibrations (mechanical);Approximation theory;Matrix algebra;Degrees of freedom (mechanics);