Multibody dynamics formulations usually express the dynamics of a mechanical system as a set of highly nonlinear Ordinary Differential Equations (ODEs) or Differential Algebraic Equations (DAEs). However, the equations of motion thus obtained need be linearized for their use in a number of applications, such as modal and stability analysis. The linearized equations feature different properties, depending on the choice of coordinates and the dynamic formulation selected to describe the problem; this choice has a critical impact on the way in which information about the system is conveyed, the ease of use and accuracy of the obtained equations, and the computational effort required to arrive at them. Benchmark examples help the analyst to select appropriate solution methods to deal with a given problem. In this work, we propose a set of test problems to benchmark linearization methods for multibody system dynamics. These are easy to define and implement; at the same time their features enable the meaningful comparison of different linearization techniques. They have been tested with several linearization approaches, thus ensuring the correctness of their solutions.

Benchmarking of Linearization Methods for Multibody System Dynamics

MASARATI, PIERANGELO;
2017-01-01

Abstract

Multibody dynamics formulations usually express the dynamics of a mechanical system as a set of highly nonlinear Ordinary Differential Equations (ODEs) or Differential Algebraic Equations (DAEs). However, the equations of motion thus obtained need be linearized for their use in a number of applications, such as modal and stability analysis. The linearized equations feature different properties, depending on the choice of coordinates and the dynamic formulation selected to describe the problem; this choice has a critical impact on the way in which information about the system is conveyed, the ease of use and accuracy of the obtained equations, and the computational effort required to arrive at them. Benchmark examples help the analyst to select appropriate solution methods to deal with a given problem. In this work, we propose a set of test problems to benchmark linearization methods for multibody system dynamics. These are easy to define and implement; at the same time their features enable the meaningful comparison of different linearization techniques. They have been tested with several linearization approaches, thus ensuring the correctness of their solutions.
ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (IDETC/CIE 2017)
File in questo prodotto:
File Dimensione Formato  
GONZF02-17.pdf

Accesso riservato

Descrizione: Paper
: Publisher’s version
Dimensione 146.4 kB
Formato Adobe PDF
146.4 kB Adobe PDF   Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1031897
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact