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.File | Dimensione | Formato | |
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