Shape parameterization comparison for full-film lubrication texture design

Yong Hoon Lee, Jonathon Schuh, Randy H. Ewoldt, James T. Allison

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Minimizing energy loss and improving system load capacity and compactness are important objectives for fluid power applications. Recent studies have revealed that a micro-textured surface can reduce friction in full-film lubrication, and an asymmetric textured surface can further improve the performance by reducing friction and increasing normal force simultaneously. As an extension of these previous discoveries, we explore how enhanced texture design can maximize these objectives together. We design the surface texture using a set of distinct parameterizations, ranging from simple to complex (including very general geometries), to improve friction and normal force properties beyond what is possible for limited texture geometries. Here we use a rotational visco-rheometer configuration with a fixed bottom disc, a periodic textured surface, and a rotating top flat disc. The Reynolds equation is formulated in a cylindrical coordinate system and solved using a pseudo-spectral method to model Newtonian fluid flow within the gap between discs. Model assumptions include incompressibility, steady flow, constant viscosity, and a small gap height to texture radius ratio. Multiobjective optimization problems are solved using the epsilon-constraint method with an interior-point algorithm. The trade-off between competing objectives is quantified, revealing important insights. Arbitrary continuous texture geometries are represented using two dimensional cubic spline interpolation. Shifting to more general texture geometries resulted in significant simultaneous improvement in both performance metrics for full-film lubrication texture design. An important qualitative result is that textures resembling a helical blade tend to improve performance for rotating contacts in fluid power systems.

Original languageEnglish (US)
Title of host publication42nd Design Automation Conference
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791850114
StatePublished - 2016
EventASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2016 - Charlotte, United States
Duration: Aug 21 2016Aug 24 2016

Publication series

NameProceedings of the ASME Design Engineering Technical Conference


OtherASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2016
Country/TerritoryUnited States


  • Full-film lubrication
  • Multiobjective optimization
  • Pseudo-spectral method
  • Reynolds equation
  • Shape parameterization
  • Spline interpolation
  • Surface texture
  • ϵ-constraint method

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation


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