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contributor authorJack Porter
contributor authorC. P. Atkinson
date accessioned2017-05-08T22:59:57Z
date available2017-05-08T22:59:57Z
date copyrightJune, 1962
date issued1962
identifier issn0021-8936
identifier otherJAMCAV-25666#258_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/88213
description abstractThis paper presents a method for analyzing the stability of the linearly related modes of nonlinear two-degree-of-freedom oscillatory systems. For systems described by the coupled equations ẍ1 = f(x1 , x2 ) and ẍ2 = g(x1 , x2 ) there exist solutions related by the linear modal restraint x1 = cx2 where c is a constant. Such oscillations are not always stable. The method of this paper allows the prediction of the stability of the modes in terms of the amplitudes of the oscillations and the parameters of the equations of motion. Analog-computer results are presented which confirm the theoretical predictions.
publisherThe American Society of Mechanical Engineers (ASME)
titleA Note on a New Stability Method for the Linear Modes of Nonlinear Two-Degree-of-Freedom Systems
typeJournal Paper
journal volume29
journal issue2
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.3640538
journal fristpage258
journal lastpage262
identifier eissn1528-9036
keywordsStability
keywordsOscillations
keywordsEquations of motion
keywordsComputers AND Equations
treeJournal of Applied Mechanics:;1962:;volume( 029 ):;issue: 002
contenttypeFulltext


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