Research Papers: Applications

Effect of Housing Support on Bearing Dynamics

[+] Author and Article Information
Lijun Cao

School of Mechanical Engineering,
Purdue University,
West Lafayette, IN 47907
e-mail: cao11@purdue.edu

Matthew D. Brouwer

School of Mechanical Engineering,
Purdue University,
West Lafayette, IN 47907
e-mail: mbrouwe@purdue.edu

Farshid Sadeghi

Cummins Distinguished Professor
of Mechanical Engineering
School of Mechanical Engineering,
Purdue University,
West Lafayette, IN 47907
e-mail: sadeghi@purdue.edu

Lars-Erik Stacke

SKF Engineering & Research Centre GPD,
Göteborg S-415 50, Sweden

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received April 2, 2015; final manuscript received July 15, 2015; published online August 31, 2015. Assoc. Editor: Daejong Kim.

J. Tribol 138(1), 011105 (Aug 31, 2015) (13 pages) Paper No: TRIB-15-1103; doi: 10.1115/1.4031104 History: Received April 02, 2015; Revised July 15, 2015

The objective of this investigation was to determine the effect of housing support on bearing performance and dynamics. In order to achieve the objective, an existing dynamic bearing model (DBM) was coupled with flexible housing model to include the effect of support structure on bearing dynamics and performance. The DBM is based on the discrete element method, in which the bearing components are assumed to be rigid. To achieve the coupling, a novel algorithm was developed to detect contact conditions between the housing support and bearing outer race and then calculate contact forces based on the penalty method. It should be noted that although commercial finite element (FE) software such as abaqus is available to model flexible housings, combining these codes with a bearing model is quite difficult since the data transfer between the two model packages is time-consuming. So, a three-dimensional (3D) explicit finite element method (EFEM) was developed to model the bearing support structure for both linear elastic and nonlinear inelastic elastomeric materials. The constitutive relationship for elastomeric material is based on an eight chain model, which captures hyperelastic behavior of rubber for large strains. The viscoelastic property is modeled by using the generalized Maxwell-element rheological model to exhibit rate-dependent behaviors, such as creep and hysteresis on cyclic loading. The results of this investigation illustrate that elastomeric material as expected has large damping to reduce vibration and absorb energy, which leads to a reduction in ball–race contact forces and friction. A parametric study confirmed that the viscoelastic stress (VS) contributes significantly to the performance of the material, and without proper amount of viscoelasticity it loses its advantage in vibration reduction and exhibits linear elastic material characteristics. As expected, it is also demonstrated that housing supports made of linear elastic material provide minimal damping and rely on the bearing friction to dissipate energy. A study of housing support geometry demonstrates that bearing support plays a large role on the dynamic performance of the bearing. Motion of bearing outer race is closely related to the geometry and symmetry of the housing.

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Fig. 1

Flowchart of the combined model

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Fig. 2

Outer race reference frame

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Fig. 3

Generalized Maxwell-element rheological model

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Fig. 4

Outer race and contacting node

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Fig. 5

A 12 mm side cubic FE network

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Fig. 6

Uniaxial compression to different final strains (strain rate ε˙=−0.01 s−1)

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Fig. 7

Hertzian line contact between rigid and flexible bodies

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Fig. 8

von Mises stress results: (a) abaqus and (b) EFEM contact model results (100 × deformation)

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Fig. 9

Comparison of abaqus contact pressure (green) and EFEM contact model pressure (blue)

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Fig. 10

Comparison of Hertzian pressure (green) and EFEM contact model pressure (blue)

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Fig. 11

Geometries and dimensions of housing supports: (a) housing A, (b) housing B, (c) housing C, and (d) housing D

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Fig. 12

Assembly tolerance study load profile

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Fig. 13

Bearing outer race cross section view

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Fig. 14

Housing stress and contact force distribution (front view): (a) interference fit, (b)transition fit, and (c) clearance fit

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Fig. 15

Housing support load–displacement curve for different assembly tolerances

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Fig. 16

Outer race center of mass motion in housing A and housing deformations (60,000 × deformation)

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Fig. 17

Outer race center of mass motion in housing B and housing deformations (60,000 × deformation)

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Fig. 18

Outer race center of mass motion in housing C and housing deformations (60,000 × deformation)

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Fig. 19

Outer race CG motion under the support of housing A(right; blue), housing B (center; green), and housing C (left; red)

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Fig. 20

Comparison of inner race center of mass motion in rigid housing and flexible housing (larger motion): (a) results in housing A, (b) results in housing B, and (c) results in housing C

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Fig. 21

Profiles of 250 N radial load applied in different rates

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Fig. 22

Curves of outer race displacement in steel bushing subject to the radial loads in Fig. 21

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Fig. 23

Curves of outer race displacement in rubber bushing subject to the radial loads in Fig. 21

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Fig. 24

Rubber bushing cyclic deformation test

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Fig. 25

Impact load profile

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Fig. 26

Summed normal contact forces between outer race and balls in Z-direction after impact

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Fig. 27

Outer race displacement curves in rubber bushings with different levels of viscoelasticity




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