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Integration of the Equations of Motion of Multibody Systems Using Absolute Nodal Coordinate Formulation

Orzechowski G., Frączek J.

Acta Mechanica et Automatica

2012

Vol. 6, no. 2

75-83

Recently, a finite element formulation, called the absolute nodal coordinate formulation (ANCF), was proposed for the large rotation and deformation analysis of flexible bodies. In this formulation, absolute position and slope coordinates are used to define the finite element configuration. Infinitesimal or finite rotations are not used as nodal coordinates. The ANCF finite elements have many unique features that distinguish them from other existing finite element methods used in the dynamic analysis of the flexible multibody systems. In such systems, there appears the necessity of solving systems of differential-algebraic equations (DAEs) of index 3. Accurate solving of the DAEs is a non-trivial problem. However, in the literature about the ANCF one can hardly find any detailed information about the procedures that are used to solve the DAEs. Therefore, the current paper is devoted to the analysis of selected DAE solvers, which are applied to simulations of simple mechanisms.

Determination of structural intensity from measured values

Sikora R., Ondrouch J.

Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska

2006

z. 31

141-144

The structural intensity (IS) is the complex quantity. The real component, which is called active structural intensity, shows the flow of energy in elastic bodies. The purpose of the work was to verify if it possible to calculate structural intensity from measured values and to verify if the simplification is possible. The use of SI is in the sphere of machinę diagnostics. It has been derived from acoustic intensity. It would be possible to identify the sources of energy if you knew the structural intensity value in the structure.