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Michael Feldman Publications

Mapping nonlinear forces with congruent vibration functions

13 February, 2014

Author: Michael Feldman

Source: Mechanical Systems and Signal Processing (2013), 37, 315-337

Abstract:This paper considers a new nonparametric identification method for vibration systems. The novelty of the identification is that an unknown arbitrary internal force not separated for stiffness and damping is assumed a priori. A nonlinear vibration structure is decomposed in a number of subsystems, each with its own vibration frequency solution, amplitude and phase as functions of time. Multiple frequency components included in the solution composition can be uncovered by the Hilbert vibration decomposition and subsequent congruent aggregation. The unknown internal acting force is estimated by the displacement–acceleration phase angle and the special partial analytical methods.