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Multibody Dynamics (multibody + dynamics)

Distribution by Scientific Domains

Engineering	100%

Selected Abstracts

Representation and Simulation of Smart Structures in Multibody Dynamics

PROCEEDINGS IN APPLIED MATHEMATICS & MECHANICS, Issue 1 2003
Andreas Heckmann
This paper presents a methodology for the simulation of smart structures with piezoceramic patches by means of multibody dynamics. Therefore, the theoretical background is outlined adapting a modal multifield approach. Then, an application example is used to illustrate the implemented process chain. This procedure provides the framework for the development of an environment in order to design, optimise and verify all vibration control elements. [source]

Strategies for the numerical integration of DAE systems in multibody dynamics

COMPUTER APPLICATIONS IN ENGINEERING EDUCATION, Issue 2 2004
E. Pennestrì
Abstract The number of multibody dynamics courses offered in the university is increasing. Often the instructor has the necessity to go through the steps of an algorithm by working out a simple example. This gives the student a better understand of the basic theory. This paper provides a tutorial on the numerical integration of differential-algebraic equations (DAE) arising from the dynamic modeling of multibody mechanical systems. In particular, some algorithms based on the orthogonalization of the Jacobian matrix are herein discussed. All the computational steps involved are explained in detail and by working out a simple example. It is also reported a brief description and an application of the multibody code NumDyn3D which uses the Singular Value Decomposition (SVD) approach. © 2004 Wiley Periodicals, Inc. Comput Appl Eng Educ 12: 106,116, 2004; Published online in Wiley InterScience (www.interscience.wiley.com); DOI 10.1002/cae.20005 [source]

A time-stepping method for stiff multibody dynamics with contact and friction,

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, Issue 7 2002
Mihai Anitescu
Abstract We define a time-stepping procedure to integrate the equations of motion of stiff multibody dynamics with contact and friction. The friction and non-interpenetration constraints are modelled by complementarity equations. Stiffness is accommodated by a technique motivated by a linearly implicit Euler method. We show that the main subproblem, a linear complementarity problem, is consistent for a sufficiently small time step h. In addition, we prove that for the most common type of stiff forces encountered in rigid body dynamics, where a damping or elastic force is applied between two points of the system, the method is well defined for any time step h. We show that the method is stable in the stiff limit, unconditionally with respect to the damping parameters, near the equilibrium points of the springs. The integration step approaches, in the stiff limit, the integration step for a system where the stiff forces have been replaced by corresponding joint constraints. Simulations for one- and two-dimensional examples demonstrate the stable behaviour of the method. Published in 2002 by John Wiley & Sons, Ltd. [source]

Numerical integration of differential-algebraic equations with mixed holonomic and control constraints

PROCEEDINGS IN APPLIED MATHEMATICS & MECHANICS, Issue 1 2008
Mahmud Quasem
The present work aims at the incorporation of control (or servo) constraints into finite,dimensional mechanical systems subject to holonomic constraints. In particular, we focus on underactuated systems, defined as systems in which the number of degrees of freedom exceeds the number of inputs. The corresponding equations of motion can be written in the form of differential,algebraic equations (DAEs) with a mixed set of holonomic and control constraints. Apart from closed,loop multibody systems, the present formulation accommodates the so,called rotationless formulation of multibody dynamics. To this end, we apply a specific projection method to the DAEs in terms of redundant coordinates. A similar projection approach has been previously developed in the framework of generalized coordinates by Blajer & Ko,odziejczyk [1]. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source]