This article discusses the estimation of Lyapunov characteristic exponents related to the solution of non-linear multibody dynamics problems expressed in the form of systems of differential–algebraic equations. Current literature on the topic projects the differential–algebraic equations in the state space of the underlying strangeness free ordinary differential equations. This article shows how Lyapunov exponents can be successfully estimated with the discrete QR method directly applied to the matrix pencil associated to the differential–algebraic equations, using algorithmically dissipative multistep methods. Numerical results show the soundness of the proposed approach.
Estimation of Lyapunov Exponents from Multibody Dynamics in Differential-Algebraic Form
MASARATI, PIERANGELO
2013-01-01
Abstract
This article discusses the estimation of Lyapunov characteristic exponents related to the solution of non-linear multibody dynamics problems expressed in the form of systems of differential–algebraic equations. Current literature on the topic projects the differential–algebraic equations in the state space of the underlying strangeness free ordinary differential equations. This article shows how Lyapunov exponents can be successfully estimated with the discrete QR method directly applied to the matrix pencil associated to the differential–algebraic equations, using algorithmically dissipative multistep methods. Numerical results show the soundness of the proposed approach.File | Dimensione | Formato | |
---|---|---|---|
MASAP03-13.pdf
Accesso riservato
Descrizione: Paper
:
Publisher’s version
Dimensione
896.25 kB
Formato
Adobe PDF
|
896.25 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.