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contributor authorR. M. Rosenberg
date accessioned2017-05-09T00:39:58Z
date available2017-05-09T00:39:58Z
date copyrightJune, 1961
date issued1961
identifier issn0021-8936
identifier otherJAMCAV-25616#275_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/144389
description abstractFree vibrations in normal modes are examined for a system consisting of two unequal (or equal) masses, interconnected by a nonlinear coupling spring, and each mass connected by nonlinear unequal (or equal) anchor springs to fixed points. All spring forces are odd functions, and proportional to the k’th power, of the spring deflections, where k is a real, positive number. The frequency-amplitude relations for the in and out-of-phase modes are derived without approximation, the stability of these modes is analyzed, and several numerical examples are worked out. A surprising feature of these systems is that they may have a greater number of normal modes than they have degrees of freedom.
publisherThe American Society of Mechanical Engineers (ASME)
titleOn Normal Vibrations of a General Class of Nonlinear Dual-Mode Systems
typeJournal Paper
journal volume28
journal issue2
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.3641668
journal fristpage275
journal lastpage283
identifier eissn1528-9036
keywordsVibration
keywordsSprings
keywordsForce
keywordsStability
keywordsDegrees of freedom
keywordsApproximation
keywordsDeflection
keywordsFree vibrations AND Functions
treeJournal of Applied Mechanics:;1961:;volume( 028 ):;issue: 002
contenttypeFulltext


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