1963•Transactions of the Japan Society of Mechanical EngineersOpen access

Forced Oscillations in the Servomechanism with Coulomb Friction and Static Friction

Senshi KOBAYASHI, Kunihiko ICHIKAWA

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Abstract

In this paper, the forced oscillations in the linear servomechanism with Coulomb friction and static friction are analysed exactly. For the forced oscillations with intermittent stopping in the system having only Coulomb friction, the natural anti-resonance phenomena exist and the multiple jumping phenomena occur in the input R/F-ono-stop period λπ/ω characteristics, etc. when viscous damping ζ is small. For large ζ, the R/F-λπ/ω characteristics, ect. are stable. The effects of static friction are that the R/F-λπ/ω characteristics are hard in contrast with the soft ones when only Coulomb friction and then the complete stopping boundaries exist. An analytic method using the frequency response of the linear part of system is possible for the forced oscillations without stopping.

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In this paper, the forced oscillations in the linear servomechanism with Coulomb friction and static friction are analysed exactly. For the forced oscillations with intermittent stopping in the system having only Coulomb friction, the natural anti-resonance phenomena exist and the multiple jumping phenomena occur in the input R/F-ono-stop period λπ/ω characteristics, etc. when viscous damping ζ is small. For large ζ, the R/F-λπ/ω characteristics, ect. are stable. The effects of static friction are that the R/F-λπ/ω characteristics are hard in contrast with the soft ones when only Coulomb friction and then the complete stopping boundaries exist. An analytic method using the frequency response of the linear part of system is possible for the forced oscillations without stopping.

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Available abstract

In this paper, the forced oscillations in the linear servomechanism with Coulomb friction and static friction are analysed exactly. For the forced oscillations with intermittent stopping in the system having only Coulomb friction, the natural anti-resonance phenomena exist and the multiple jumping phenomena occur in the input R/F-ono-stop period λπ/ω characteristics, etc. when viscous damping ζ is small. For large ζ, the R/F-λπ/ω characteristics, ect. are stable. The effects of static friction are that the R/F-λπ/ω characteristics are hard in contrast with the soft ones when only Coulomb friction and then the complete stopping boundaries exist. An analytic method using the frequency response of the linear part of system is possible for the forced oscillations without stopping.

Key concepts: Coulomb friction, Static friction, Coulomb, Servomechanism, Physics, Mechanics, Coulomb's law, Internal friction

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