Accession Number : ADP003665

Title :   An Averaging Technique for the Analysis of Oscillations in Abruptly Nonlinear Systems,

Corporate Author : UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES DEPT OF CIVIL ENGINEERING

Personal Author(s) : Miller,R. K. ; Heidari,M. A.

Report Date : 1984

Pagination or Media Count : 10

Abstract : An approximate technique, based on a new generalization of the method of equivalent linearization, is presented for analysis of oscillations in such abruptly nonlinear system as those involving vibroimpact between adjacent structures. The new method introduces a weighting function into the averaging integrals used in the familiar method of equivalent linearization. The weighting is chosen such that the free vibration backbone curve of the approximate solution matches that of the exact solution at an arbitrary number of preselected amplitudes. Both one- and two-degree-of-freedom (DOF) examples involving periodic motion of colliding oscillators are presented to illustrate the nature of the results. Contact forces are modeled both by a unilateral linear spring and dashpot and by impulse/momentum and coefficient of restitution approaches. It is shown that an approximate amplitude-frequency response curve of adequate accuracy can be obtained with a computational effort several orders of magnitude less than that required by direct numerical simulation. (Author)

Descriptors :   *Structural mechanics, *Vibration, Nonlinear analysis, Oscillation, Degrees of freedom, Stiffness, Damping, Equations of motion, Dynamic response, Cables

Distribution Statement : APPROVED FOR PUBLIC RELEASE