Bi-stability induced by motion limiting constraints on boring bar tuned mass dampers

Iklódi, Zsolt and Barton, David A.W. and Dombóvári, Zoltán (2022) Bi-stability induced by motion limiting constraints on boring bar tuned mass dampers. JOURNAL OF SOUND AND VIBRATION, 517. No. 116538. ISSN 0022-460X

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Abstract

This paper investigates the effect of displacement constraints on the attenuation performance of tuned mass dampers (TMDs) used in boring and turning applications. A simplified piecewise- smooth mechanical model is investigated through time domain simulations and hybrid periodic orbit continuation, first under harmonic excitation, then under regenerative cutting load. A quasi-frequency response function is derived for impacting TMDs through composition of different families of period-1 orbits, then an acceptability map for turning is formulated based on the appearance of cutting-edge contact-loss and fly-over events. The bi-stable domain boundaries are determined through two parameter continuation of contact-loss grazing events. It is shown that in both cases arising rigid body collisions can significantly hinder TMD damping performance and lead to resonance problems or machine tool chatter.

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