Implementation of a geometric constraint regularization for multibody system models
Journal Title: Archive of Mechanical Engineering - Year 2014, Vol 0, Issue 2
Abstract
Redundant constraints in MBS models severely deteriorate the computational performance and accuracy of any numerical MBS dynamics simulation method. Classically this problem has been addressed by means of numerical decompositions of the constraint Jacobian within numerical integration steps. Such decompositions are computationally expensive. In this paper an elimination method is discussed that only requires a single numerical decomposition within the model preprocessing step rather than during the time integration. It is based on the determination of motion spaces making use of Lie group concepts. The method is able to reduce the set of loop constraints for a large class of technical systems. In any case it always retains a sufficient number of constraints. It is derived for single kinematic loops.
Authors and Affiliations
Andreas Müller
Simulation of moving loads in elastic multibody systems with parametric model reduction techniques
In elastic multibody systems, one considers large nonlinear rigid body motion and small elastic deformations. In a rising number of applications, e.g. automotive engineering, turning and milling processes, the position o...
Helicopter rotor sailing by non-smooth dynamics co-simulation
This paper presents the application of a co-simulation approach for the simulation of frictional contact in general-purpose multibody dynamics to a rotorcraft dynamics problem. The proposed approach is based on the co-si...
Rehabilitation robot prototypes developed by the ITAM Zabrze
Limb physical movements disability is the result of illnesses or serious injuries, impaired execution of daily activities and limitations or even inability to perform working activity. Restoration of fitness in such case...
A semi-analytical solution of thick truncated cones using matched asymptotic method and disk form multilayers
In this article, the thick truncated cone shell is divided into disk-layers form with their thickness corresponding to the thickness of the cone. Due to the existence of shear stress in the truncated cone, the equations...
Free vibration of piezo-nanowires using Timoshenko beam theory with consideration of surface and small scale effects
This paper investigates the influence of surface effects on free transverse vibration of piezoelectric nanowires (NWs). The dynamic model of the NW is tackled using nonlocal Timoshenko beam theory. By implementing this t...