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A General Reduced Representation of One-Dimensional Frictional Interfaces.

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Title: A General Reduced Representation of One-Dimensional Frictional Interfaces.
Authors: Guthrie, Michael1 (AUTHOR), Kammer, Daniel1 (AUTHOR)
Source: Journal of Applied Mechanics. Jan2008, Vol. 75 Issue 1, p011019-1-011019-8. 8p. 3 Diagrams, 2 Charts, 4 Graphs.
Subjects: Interfaces (Physical sciences), Guyan method, Bearings (Machinery), Dynamics, Mechanics (Physics), Engineering
Abstract: A physically-motivated, reduced representation of a general one-dimensional frictional interface is developed. Friction is introduced into the system as a state variable and is modeled by nonlinear springs of large but finite stiffness. The set of equations for the interface is reduced in a procedure similar to Guyan reduction by assuming that the system must deform in its quasistatic displacement shapes. The result of this reduction is that the degrees of freedom internal to the interface are removed from the analysis and only the boundary degrees of freedom are retained. The reduced system is then specialized to the case of a bar on a frictional surface. For this problem, a second reduction is made by noting that the time derivative of the friction force on the stuck block nearest the slip zone is much greater than the time derivatives of the friction forces elsewhere. Therefore only the friction force on the stuck block nearest the slip zone needs to be updated at each time step. The reduced representation developed in this paper is compared with a formulation from the literature and it is seen that the two match very closely and that the reduced representation is far less computationally intensive. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Applied Mechanics is the property of American Society of Mechanical Engineers and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
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PubType: Academic Journal
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  Data: A General Reduced Representation of One-Dimensional Frictional Interfaces.
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Applied+Mechanics%22">Journal of Applied Mechanics</searchLink>. Jan2008, Vol. 75 Issue 1, p011019-1-011019-8. 8p. 3 Diagrams, 2 Charts, 4 Graphs.
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  Data: <searchLink fieldCode="DE" term="%22Interfaces+%28Physical+sciences%29%22">Interfaces (Physical sciences)</searchLink><br /><searchLink fieldCode="DE" term="%22Guyan+method%22">Guyan method</searchLink><br /><searchLink fieldCode="DE" term="%22Bearings+%28Machinery%29%22">Bearings (Machinery)</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamics%22">Dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanics+%28Physics%29%22">Mechanics (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Engineering%22">Engineering</searchLink>
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  Label: Abstract
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  Data: A physically-motivated, reduced representation of a general one-dimensional frictional interface is developed. Friction is introduced into the system as a state variable and is modeled by nonlinear springs of large but finite stiffness. The set of equations for the interface is reduced in a procedure similar to Guyan reduction by assuming that the system must deform in its quasistatic displacement shapes. The result of this reduction is that the degrees of freedom internal to the interface are removed from the analysis and only the boundary degrees of freedom are retained. The reduced system is then specialized to the case of a bar on a frictional surface. For this problem, a second reduction is made by noting that the time derivative of the friction force on the stuck block nearest the slip zone is much greater than the time derivatives of the friction forces elsewhere. Therefore only the friction force on the stuck block nearest the slip zone needs to be updated at each time step. The reduced representation developed in this paper is compared with a formulation from the literature and it is seen that the two match very closely and that the reduced representation is far less computationally intensive. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Applied Mechanics is the property of American Society of Mechanical Engineers and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1115/1.2745375
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      – Code: eng
        Text: English
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        PageCount: 8
        StartPage: 011019-1
    Subjects:
      – SubjectFull: Interfaces (Physical sciences)
        Type: general
      – SubjectFull: Guyan method
        Type: general
      – SubjectFull: Bearings (Machinery)
        Type: general
      – SubjectFull: Dynamics
        Type: general
      – SubjectFull: Mechanics (Physics)
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      – SubjectFull: Engineering
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              M: 01
              Text: Jan2008
              Type: published
              Y: 2008
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