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Title :磁力支持された移動はりの非線形振動
Title alternative :Nonlinear Vibrations of a Traveling Beam Levitated by Magnetic Forces
Authors :永井, 健一
渥美, 全弘
杉山, 晋一
長屋, 幸助
谷藤, 克也
武田, 定彦
Publisher :日本機械学会
Issue Date :Jun-1990
Journal Title :日本機械学会論文集. C編
Volume :56
Issue :526
Start Page :1394
End Page :1399
ISSN :0387-5024
Description :This paper presents analytical results of non-linear vibrations of a traveling beam levitated by magnetic forces. The problem is modeled as the Euler-Bernoulli beam with a variable cross section supported by non-linear springs. The beam and the springs move on an undulated line. Introducing a new mode shape function which is expressed as the product of the trigonometric function and the power series truncated to the fourth order and utilizing the galerkin procedure, basic equations are reduced to the coupled non-linear equations. The steady state solutions of the beam was obtained using the harmonic balance method. It is found that the non-linear responses show the type of soft-spring, the unsymmetric support of the spring or the unsymetric cross section to the mid-point of the beam show large amplitude vibrations of a rotating motion and that of a translating motion in relatively large frequency range.
Keywords :Nonlinear Vibration
Vibration of Continuous System
Modal Coordinate
Galerkin Method
Type Local :学術雑誌論文
Language :jpn
URI :http://hdl.handle.net/10191/5895
fullTextURL :http://dspace.lib.niigata-u.ac.jp/dspace/bitstream/10191/5895/1/9_0193.pdf
Relation :http://ci.nii.ac.jp/naid/110002379445
Rights :日本機械学会
Appears in Collections:10 査読済論文 = Postprint

Please use this identifier to cite or link to this item: http://hdl.handle.net/10191/5895