Vibration suppression of nonlinear single degree of freedom systems via second-order nonlinear compensation

摘要

Second-order nonlinear compensators are investigated, The equivalence to first-order nonlinear effects of the mechanical vibration absorber, the piezoelectric vibration absorber, and the positive position feedback control algorithm is established, resulting in a single set of nonlinear differential equations for this class of systems. ^These differential equations are solved via the method of multiple scales, a perturbation technique. ^Abbreviated results are presented. ^(Author)