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contributor authorPanigrahi, Smruti R.
contributor authorFeeny, Brian F.
contributor authorDiaz, Alejandro R.
date accessioned2017-05-09T01:13:59Z
date available2017-05-09T01:13:59Z
date issued2014
identifier issn1048-9002
identifier othervib_136_02_021004.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/156717
description abstractWe have studied a nonlinear springmass chain loaded by a quasistatic pull. The spring forces are assumed to be cubic with intervals of negative stiffness. Depending on the parameters, the system has multiple equilibria. The normal form and the bifurcation behaviors for the singleand twodegreeoffreedom systems are studied in detail. A new type of bifurcation, which we refer to as a star bifurcation, has been observed for the symmetric twodegreeoffreedom system. This bifurcation is of codimensionfour for the undamped case and codimensionthree or two for the damped case, depending on the form of the damping.
publisherThe American Society of Mechanical Engineers (ASME)
titleDegenerate “Starâ€‌ Bifurcations in a Twinkling Oscillator
typeJournal Paper
journal volume136
journal issue2
journal titleJournal of Vibration and Acoustics
identifier doi10.1115/1.4025442
journal fristpage21004
journal lastpage21004
identifier eissn1528-8927
treeJournal of Vibration and Acoustics:;2014:;volume( 136 ):;issue: 002
contenttypeFulltext


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