K. McLachlan

TL;DR: In this article, the asymptotically stable motion of two rigid masses separated by a clearance is formulated most generally when the masses collide periodically, and a technique is proposed for determining a clearance's dimensions in situ which could provide a basis for detecting progressive wear in mechanisms like gear trains.

TL;DR: In this article, the asymptotically stable vibrations of a loaded oscillator colliding periodically with a rigid mass are described and compared with the few existing examples, and better overall agreement with fairly comprehensive measurements from a specially built experimental rig.

TL;DR: In this article, a local theory of non-smooth dynamical systems on connectable and accessible sub-domains is developed, and the properties for separation boundaries based on the characteristics of flows are determined, and sliding dynamics on a specified separation boundary is introduced.

TL;DR: In this paper, a multi-term harmonic balance method (HBM) was proposed for nonlinear frequency response calculations of a torsional sub-system containing a clearance type nonlinearity.

TL;DR: In this paper, the effects of mass ratio, coefficient of restitution, and gap size on the free vibrations were determined by simulating motion on the digital computer, and a single unit impact damper under free and forced vibrations was studied.

TL;DR: In this article, the authors used harmonic balance to develop approximate analytical solutions to the equations of motion of a single impact pair including a general discussion of the existence and stability of these solutions Nonlinear frequency response characteristics are obtained for a single frequency excitation and primary resonance (no subharmonic or superharmonic response) and the results are validated using an analog computer simulation.