Vibration of multi-degree-of-freedom systems with non-proportional viscous damping
type: Item
instance of: scholarly article
title: Vibration of multi-degree-of-freedom systems with non-proportional viscous damping
zbMATH Open document ID: 0840.70016
DOI: 10.1016/0020-7403(95)00067-8
author: Yanyan Li
published in: International Journal of Mechanical Sciences
publication date: 1996-07-04T00:00:00Z
review text: According to the authors' knowledge, for multi-degree-of-freedom linear vibrating systems till this time only proportional damping was discussed. In this paper they consider non-proportional damping. First, a very detailed investigation of a two-degree-of-freedom system is presented (free, forced and transient vibrations as well, and diagrams for certain numerical cases) where all the three coefficient matrices are symmetric. For general \(n\)-degrees-of-freedom systems the authors propose a classification scheme in which the case with multiple roots, where not only simple exponential functions of time are the particular solutions (i.e. the case of non-diagonal Jordan matrix), seems to be not present.
Mathematics Subject Classification ID: 70J99
Mathematics Subject Classification ID: 70J30
Mathematics Subject Classification ID: 70J35
zbMATH DE Number: 762330
zbMATH Keywords: symmetric coefficient matrices
zbMATH Keywords: two-degree-of-freedom system
zbMATH Keywords: classification scheme
zbMATH Keywords: multiple roots
reviewed by: Á. P. Bosznay
MaRDI profile type: Publication
full work available at URL: 0020-7403(95)00067-8
OpenAlex ID: W2114656017
description: scientific article; zbMATH DE number 762330