Showing papers by "Thomas K. Caughey published in 1970"
TL;DR: In this article, a non-linear model of "linear hysteretic" damping is proposed and a study is made of the free and forced oscillations of a dynamic system with LH damping.
Abstract: Using a non-linear model of “linear hysteretic” damping proposed by Reid, a study is made of the free and forced oscillations of a dynamic system with “linear hysteretic” damping. Exact solutions are presented for both free and forced oscillations and comparison is made with approximate solutions obtained by the Krylov-Bogoliubov-Van der Pol method.
53 citations
TL;DR: In this article, exact solutions for the non-linear theory of nonlinear vibration of an elastic string with fixed ends were presented, and it was shown that the modes of free whirling are orbitally stable.
Abstract: The whirling of a string is a problem of some antiquity, the linearized solutions to a number of such problems having been derived by D. Bernoulli (1700-1782) and L. Euler (1707-1783). The nonlinear theory of whirling of inextensible strings has been discussed by Kolodner [1] and Caughey [2], [3]. Carrier [4], [5] has discussed the theory of nonlinear vibration of an elastic string using perturbation methods. In the present paper exact solutions will be presented for the whirling of an elastic string with fixed ends, and it will be shown that the modes of free whirling are orbitally stable.
10 citations