Initial condition correction in multibody dynamics

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

A simple procedure is presented to correct initial conditions for the coordinates and velocities prior to performing a kinematic or forward dynamic analysis of multibody systems. Such corrections are crucial since slight amount of constraint violations at the start of any numerical integration of equations of motion can lead to erroneous results. The correction process is based on the well-known method of minimizing the sum-of-squares of adjustments in the coordinates or velocities. The process provides a solution that is closest to the estimated values. It should be a simple task to implement this methodology as a preprocessing step for any kinematic or forward dynamic analysis program regardless of the formulation.

Original languageEnglish (US)
Pages (from-to)107-115
Number of pages9
JournalMultibody System Dynamics
Volume18
Issue number1
DOIs
StatePublished - Aug 2007

Fingerprint

Multibody Dynamics
Dynamic Analysis
Dynamic analysis
Kinematics
Initial conditions
Multibody Systems
Sum of squares
Numerical integration
Equations of motion
Preprocessing
Equations of Motion
Adjustment
Methodology
Formulation

Keywords

  • Corrections
  • Initial conditions
  • Minimization
  • Sum-of-squares

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics

Cite this

Initial condition correction in multibody dynamics. / Nikravesh, Parviz E.

In: Multibody System Dynamics, Vol. 18, No. 1, 08.2007, p. 107-115.

Research output: Contribution to journalArticle

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