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Technical Brief

Effect of Electromagnetic Actuation on Contact Loss in a Hertzian Contact Oscillator

[+] Author and Article Information
Amine Bichri

Laboratory of Mechanics,
University Hassan II-Casablanca,
Casablanca, Morocco

Mohamed Belhaq

Laboratory of Mechanics,
University Hassan II-Casablanca,
Casablanca, Morocco
e-mail: mbelhaq@yahoo.fr

Joël Perret-Liaudet

Laboratoire de Tribologie et
Dynamique des Systèmes,
Ecole Centrale de Lyon,
Lyon 69621, France

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received May 7, 2014; final manuscript received October 15, 2014; published online April 9, 2015. Assoc. Editor: José L. Escalona.

J. Comput. Nonlinear Dynam 10(6), 064501 (Nov 01, 2015) (6 pages) Paper No: CND-14-1121; doi: 10.1115/1.4028838 History: Received May 07, 2014; Revised October 15, 2014; Online April 09, 2015

The effect of electromagnetic actuation (EMA) on the dynamic of a single-sided Hertzian contact forced oscillator is studied near primary and secondary resonances. Emphasis is put on the case where two symmetric EMAs are introduced, such that one is driven by a DC actuation and the other is actuated by AC actuation with a fast frequency. An averaging technique and a perturbation analysis are performed to obtain the frequency response of the system. It is shown that for appropriate values of AC, forced Hertzian contact systems are more likely to remain operating in the linear regime without the loss of contact near certain resonances.

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Figures

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Fig 1

Schematic of forced single-sided Hertzian contact oscillator submitted to EMA

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Fig 2

Frequency response near primary resonance, σ = 0.03

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Fig 3

Schematic of forced Hertzian contact oscillator submitted to two symmetric EMAs

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Fig 4

Frequency response near primary resonance, σ = 0.03. Solid lines for stable and dashed lines for unstable.

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Fig 5

Frequency response near 2-superharmonic resonance, σ = 0.1

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Fig 6

Frequency response near 2-subharmonic resonance, σ = 0.5

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Fig 7

Frequency responses near primary and secondary resonances; α = 0.002 and σ = 0.1, (a) a0 = 0, (b) a0 = 1.5

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