Decomposition of stiffness and friction tangential contact forces during periodic motion

• Published in: Mechanical systems and signal processing Vol. 94; pp. 400 - 414
• Main Authors: Feldman, Michael, Zimmerman, Yaron, Sheer, Sagi, Bucher, Izhak
• Format: Journal Article
• Language: English
• Published: Berlin Elsevier Ltd 15.09.2017; Elsevier BV
• Subjects: Dissipation; Dissipative friction; Friction; Friction resistance; Hilbert space; Hilbert transform; Hilbert transformation; Nonlinear vibration decomposition; Phase transitions; Stiffness; Stiffness force; Tangential contact motion; Vibration; Vibration measurement; Tangential contact motion; Hilbert transform; Stiffness force; Dissipative friction; Nonlinear vibration decomposition
• ISSN: 0888-3270; 1096-1216
• DOI: 10.1016/j.ymssp.2017.03.012

•Provided an experimental analysis of a resistance force in the tangential contact motion.•The relation between the phase and the stiffness and dissipative friction is theoretically proved.•The decomposed spring stiffness and the dissipative friction forces are presented.•A simple nonlinear vibration simulation reproduces the experimental periodic motion. The purpose of this paper is to introduce techniques used in experimental analysis and simulation of the internal resistance force in mechanical contact. We are presenting an idea and a method to separate the internal resistance into two force parts, the spring stiffness and the dissipative friction. This separation is based on the proven dependency for the projections of the phase angle between the displacement and acceleration of the periodic motion. By combining the Hilbert transform analysis with the phase relations of the simultaneously measured applied force and the vibration response we are able to estimate the nonlinear separated spring stiffness and dissipative friction force parts in the contact interference. Theoretical analysis and experimental measurements are presented as well as simulated verification results.