NDLI: Primary resonance of coupled cantilevers subjected to magnetic interaction

Content Provider	Springer Nature Link
Author	Zhang, Guo Ce Chen, Li Qun Li, Chang Pin Ding, Hu
Copyright Year	2016
Abstract	Based on a distributed-parameter model, the forced vibration of a cantilever pair excited by a sinusoidal base movement is analyzed. Two cantilevers are coupled at their free ends by a linear spring. A nonlinear concentrated magnetic force acts on the tip of one cantilever, serving at the nonlinear boundary condition of the continuous model. The magnetic force is modeled as a fractional function, strongly dependent on the distance between two magnets. Via the method of multiple scales, the primary resonance is analyzed for all modes. A second-order approximate solution and its stability condition are analytically captured. It is revealed that the frequency–response curves are sensitive to the distance between the two magnets. The curve may exhibit the hardening-type, softening-type or linear behavior due to the existence of the quadratic nonlinearity. The outcomes are supported by the numerical simulations very well.
Starting Page	807
Ending Page	823
Page Count	17
File Format	PDF
ISSN	00256455
Journal	Meccanica
Volume Number	52
Issue Number	4-5
e-ISSN	15729648
Language	English
Publisher	Springer Netherlands
Publisher Date	2016-04-25
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Nonlinear boundary condition Continuous model Forced vibration resonance Coupled cantilevers Classical Mechanics Civil Engineering Automotive Engineering Mechanical Engineering
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Condensed Matter Physics Mechanical Engineering

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