- Dowell, E.H., Component mode analysis of a simple non-linear, non-conservative system,
J. Sound Vib. (UK), vol. 80 no. 2
pp. 233 - 46 [0022-460X(82)90193-6] .
(last updated on 2007/04/10)
A component mode analysis is carried out based upon the use of constraint conditions and Lagrange multipliers to treat exemplary physical systems with non-linear damping. Both viscous and dry friction dampers attached to a linear elastic (beam) system are examined. The method is shown to possess conceptual and computational advantages by its ability to reduce the analysis of a multimode system to a small number of degrees of freedom equal to that associated with the non-linear component