Modelling a flexible slider crank mechanism by a mixed system of DAEs and PDEs

Abstract

This article provides a basic modelling study for a mechanical multibody system composed of rigid and flexible bodies. Using the example of a slider crank mechanism, a descriptor form approach is introduced which consists essentially of a mixed system of Differential-Algebraic Equations (DAEs) and Partial-Differential Equations (PDEs). Numerical results illustrate the complex relation of modelling and simulation.

Keywords:

• differential-algebraic equations (DAEs)
• flexible multibody systems
• numerical simulation
• partial differential equations(PDEs)
• slider crank mechanism

^∗FB Mathematik, TH Dmstadt, SchloBgartenstr. 7, D-64289 Darmstadt, Germany. [email protected]

^∗FB Mathematik, TH Dmstadt, SchloBgartenstr. 7, D-64289 Darmstadt, Germany. [email protected]

Notes

^∗FB Mathematik, TH Dmstadt, SchloBgartenstr. 7, D-64289 Darmstadt, Germany. [email protected]