Accession Number : AD0471788

Title :   MATRIX METHODS IN NON-LINEAR DAMPING ANALYSIS.

Descriptive Note : Technical rept. Oct 61-Jun 64,

Corporate Author : MINNESOTA UNIV MINNEAPOLIS DEPT OF AERONAUTICS AND ENGINEERING MECHANICS

Personal Author(s) : Metherell, A. F.

Report Date : AUG 1965

Pagination or Media Count : 55

Abstract : A method is established for predicting the damping matrix and hence the energy dissipation of a composite system containing non-linear damping for any particular amplitude, mode shape and frequency. This is achieved from a knowledge of the damping properties of each nominally different component of that system, and by using the simplest mathematical concepts. The method is tested on a specimen structure containing five nominally identical component structures. From tests on another specimen which represents one of these components, the damping matrix and hence energy dissipation of the large structure is predicted. The predicted values are found to be in good agreement with those measured experimentally. In addition, a method for directly mmeasuring the damping matrix of a system with non-linear damping and any number of degrees of freedom is outlined. (Author)

Descriptors :   (*DAMPING, NONLINEAR SYSTEMS), THEORY, ENERGY, AERODYNAMIC LOADING, MATHEMATICAL MODELS, VISCOELASTICITY, MEASUREMENT, ERRORS, MATRICES(MATHEMATICS), STRUCTURES, MATHEMATICAL ANALYSIS, VIBRATION, RESONANCE.

Distribution Statement : APPROVED FOR PUBLIC RELEASE