Research Papers

Analytical Prediction of Dynamic Properties of O-Ring With Hydrostatic Pressure Distribution

[+] Author and Article Information
Tadayoshi Shoyama

Appliances Company,
Panasonic Corporation,
Yagumo-Nakamachi 3-1-1,
Moriguchi 570-8501, Osaka, Japan
e-mail: shoyama.tadayoshi@jp.panasonic.com

Koji Fujimoto

Department of Aeronautics and Astronautics,
The University of Tokyo, Hongo 7-3-1, Bunkyo,
Tokyo 113-8656, Japan
e-mail: tfjmt@mail.ecc.u-tokyo.ac.jp

1Present address: Department of Aeronautics and Astronautics, School of Engineering, The University of Tokyo, Bunkyo, Tokyo 113-8656, Japan.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received June 6, 2018; final manuscript received August 4, 2018; published online August 31, 2018. Assoc. Editor: Shaoxing Qu.

J. Appl. Mech 85(12), 121001 (Aug 31, 2018) (7 pages) Paper No: JAM-18-1332; doi: 10.1115/1.4041162 History: Received June 06, 2018; Revised August 04, 2018

This study addresses the dynamic behaviors of a bearing supporting structure composed of rubber O-rings. To develop an analytical method to predict the dynamic properties of the O-rings without using any dimension-dependent experimental data, the viscoelastic behaviors of the material were modeled with Maxwell-hyperelasticity proposed by the authors. The viscoelastic model was implemented using the finite element method (FEM), and a dynamic analysis was performed, the results of which were compared with the experimental data. The influences of the dimensions, frequency, squeeze, and surface condition on the dynamic properties of the O-rings were clarified, and independent design parameters were determined. The values and distributions of hydrostatic pressure, principal strain, and viscous dissipation energy were also discussed.

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Fig. 2

Storage and loss modulus of the Maxwell element, which depend on hydrostatic pressure

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Fig. 1

Three-element model consisting of hyperelasticity and Maxwell element

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Fig. 3

Deformations of two O-rings with different line diameters and the same squeeze

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Fig. 8

Dynamic properties of a single O-ring: (a) G30, 20%, (b) G35, 20%, (c) G40, 20%, (d) G35, 15%, (e) G35, 20%, (f) G35, 25% ((b) and (c) are identical)

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Fig. 9

Influences of static radial force on dynamic properties of a single O-ring (G35, δ =20%, 600 Hz). The experimental values were obtained only for zero radial force.

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Fig. 6

Hydrostatic pressure distribution (G35, δ=20%): (a) original neo-Hookean and (b) UDM

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Fig. 4

Base excitation resonant mass setup for measurement of the dynamic properties of O-rings for eccentric vibration

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Fig. 7

Dynamic properties of a sheet obtained using analyses of sinusoidal shear deformation

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Fig. 5

Finite element mesh of a quarter part of a single O-ring (G35)

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Fig. 10

Logarithmic principal strain in the O-ring

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Fig. 11

Cumulative dissipated energy for 0.15 s duration under 800 Hz oscillation



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