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contributor authorA. Bhaskar
date accessioned2017-05-08T23:52:34Z
date available2017-05-08T23:52:34Z
date copyrightJune, 1997
date issued1997
identifier issn0021-8936
identifier otherJAMCAV-26412#387_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/118214
description abstractThe concept of criticality in multi-degree-of-freedom systems is discussed. Sufficient conditions for overdamping, critical damping, and underdamping are derived in terms of the matrices appearing in the modal coordinates. It is noted that results available in the literature for the case of overdamping and mixed damping are erroneous. This has been pointed out by Bhaskar (1991, 1992) for the cases of overdamping and mixed damping, and by Barkwell et al. (1992) for the case of overdamping. The error in the proof of the conditions for overdamping is brought out. A sufficient condition for overdamping is presented. Results obtained for the symmetric systems are then generalized to the symmetrizable systems. Theorems on eigenvalue bounds are applied to establish criticality.
publisherThe American Society of Mechanical Engineers (ASME)
titleCriticality of Damping in Multi-Degree-of-Freedom Systems
typeJournal Paper
journal volume64
journal issue2
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.2787320
journal fristpage387
journal lastpage393
identifier eissn1528-9036
keywordsDamping
keywordsEigenvalues
keywordsErrors AND Theorems (Mathematics)
treeJournal of Applied Mechanics:;1997:;volume( 064 ):;issue: 002
contenttypeFulltext


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