R. A. Scott

TL;DR: In this paper, a non-Cartesian variable along with two Cartesian variables is used to describe the elastic deformation of straight beams undergoing large overall motions as well as small elastic deformations.

TL;DR: In this article, the effect of the coupling terms upon the vibration waveforms were investigated by using both a linearized analysis and numerical solution of the differential equations, and it was found that for small values of the ratio of the flexible beam and rigid shaft inertia uncoupled equations can lead to substantially incorrect results, particularly with regard to frequencies.

TL;DR: In this paper, the Euler-Bernoulli, Rayleigh and Timoshenko beam theories are used to model the rotating shaft subject to a constant velocity moving load and the results are compared with the available solutions of a non-rotating beam subject to moving load.

TL;DR: In this article, a modal analysis of the non-self-adjoint eigenvalue problem for the case of rotor dynamics is presented, and Galerkin's method is applied to analyze the forced response of an undamped gyroscopic system.

TL;DR: In this paper, the model uses a momentum balance method and a coefficient of restitution, and enables one to predict the rigid body motion as well as the elastic motion before and after impact.