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contributor authorMikio Nakai
contributor authorAssociated Professor
contributor authorShinji Murata
contributor authorSeiji Hagio
date accessioned2017-05-09T00:09:04Z
date available2017-05-09T00:09:04Z
date copyrightOctober, 2002
date issued2002
identifier issn1048-9002
identifier otherJVACEK-28863#527_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/127680
description abstractA generalized solution methodology based on piecewise linear vector fields is proposed for piecewise linear systems with singular regions or asymmetric restoring forces which vary spatially and temporally. In matrix representation for these systems, state variables in each region can be explicitly expressed as a function of the time the orbit spends between two boundaries or the time when the orbit hits the boundary. The time can be determined by the Brent method, and periodic solutions can then be obtained. Analytical solutions are validated on a system with 3-regions of displacement and 2-regions of time, a circumferential vibration of gear meshing system, by using the newly developed numerical method.
publisherThe American Society of Mechanical Engineers (ASME)
titleAnalysis of Piecewise Linear Systems With Boundaries in Displacement and Time
typeJournal Paper
journal volume124
journal issue4
journal titleJournal of Vibration and Acoustics
identifier doi10.1115/1.1502668
journal fristpage527
journal lastpage536
identifier eissn1528-8927
keywordsDisplacement
keywordsLinear systems
keywordsGears
keywordsNumerical analysis AND Resolution (Optics)
treeJournal of Vibration and Acoustics:;2002:;volume( 124 ):;issue: 004
contenttypeFulltext


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