Form-shaping function theory expansion: stiffness model of multi-axis machines

V. T. Portman, Y. Shneor, V. S. Chapsky, A. Shapiro

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


The form-shaping function (FSF) approach presents an effective tool for design optimization of machine structures and machining processes, evaluation and compensation of geometric and kinematic errors and development of the postprocessors for multi-axis machine tools. In this work, the FSF approach is enhanced with the aim of embedding the stiffness-related performance indexes into new generations of design systems and the high-intellectual postprocessors for CNC machine tools. For this purpose, the minimal collinear stiffness value (CSV) is applied. The CSV presents an effective performance index when the coupling (force-and-torque) load takes place and can be used for building the machine workspace satisfying requirements for stiffness limits. Simulation of the tripod-based machine illustrates the developed methodology.

Original languageEnglish
Pages (from-to)1063-1078
Number of pages16
JournalInternational Journal of Advanced Manufacturing Technology
Issue number5-8
StatePublished - 1 Feb 2015


  • Form-shaping function
  • Machine tools
  • Parallel kinematics
  • Serial Kinematics
  • Stiffness

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Mechanical Engineering
  • Computer Science Applications
  • Industrial and Manufacturing Engineering


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