A finite element formulation of a flexible slider crank mechanism using local coordinates

Behrooz Fallahi, S. Lai, C. Venkat

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


The need for higher manufacturing throughput has lead to the design of machines operating at higher speeds. At higher speeds, the rigid body assumption is no longer valid and the links should be considered flexible. In this work, a method based on the Modified Lagrange Equation for modeling a flexible slider-crank mechanism is presented. This method possesses the characteristic of not requiring the transformation from the local coordinate system to the global coordinate system. An approach using the homogeneous coordinate for element matrices generation is also presented. This approach leads to a formalism in which the displacement vector is expressed as a product of two matrices and a vector. The first matrix is a function of rigid body motion. The second matrix is a function of rigid body configuration. The vector is a function of the elastic displacement. This formal separation helps to facilitate the generation of element matrices using symbolic manipulators.

Original languageEnglish
Pages (from-to)329-335
Number of pages7
JournalJournal of Dynamic Systems, Measurement and Control, Transactions of the ASME
Issue number3
Publication statusPublished - 1995 Jun

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Information Systems
  • Instrumentation
  • Mechanical Engineering
  • Computer Science Applications


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