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math.NA2006★ 3 cited
On the simulation of multibody systems with holonomic constraints
Jukka Tuomela, Teijo Arponen, Villesamuli Normi
We use Lagrangian formalism and jet spaces to derive a computational model to simulate multibody dynamics with holonomic constraints. Our approach avoids the traditional problems o…
math.NA2006★ 2 cited
Analysing singularities of a benchmark problem
Teijo Arponen, Samuli Piipponen, Jukka Tuomela
The purpose of this paper is to analyze the singularities of a well known benchmark problem ``Andrews' squeezing mechanism''. We show that for physically relevant parameter values…