Method for solution of the Euler-Bernoulli beam equation in flexible-link robotic systems

Anthony P. Tzes, Stephen Yurkovich, F. Dieter Langer

Research output: Contribution to conferencePaper

Abstract

An efficient numerical method for solving the partial differential equation (PDE) governing the flexible manipulator control dynamics is presented. A finite-dimensional model of the equation is obtained through discretization in both time and space coordinates by using finite-difference approximations to the PDE. An expert program written in the Macsyma symbolic language is utilized in order to embed the boundary conditions into the program, accounting for a mass carried at the tip of the manipulator. The advantages of the proposed algorithm are many, including the ability to 1) include any distributed actuation term in the partial differential equation, 2) provide distributed sensing of the beam displacement, 3) easily modify the boundary conditions through an expert program, and 4) modify the structure for running under a multiprocessor environment.

Original languageEnglish (US)
Pages557-560
Number of pages4
StatePublished - 1989
EventIEEE International Conference on Systems Engineering - Fairborn, OH, USA
Duration: Aug 24 1989Aug 26 1989

Other

OtherIEEE International Conference on Systems Engineering
CityFairborn, OH, USA
Period8/24/898/26/89

ASJC Scopus subject areas

  • Engineering(all)

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    Tzes, A. P., Yurkovich, S., & Langer, F. D. (1989). Method for solution of the Euler-Bernoulli beam equation in flexible-link robotic systems. 557-560. Paper presented at IEEE International Conference on Systems Engineering, Fairborn, OH, USA, .