Exact Linearization of Multibody Systems Using User-defined Coordinates

Format:

Conference/Event

Author/Creator:

Ortiz, Jose L., author.

Conference Name:

SAE 2006 World Congress & Exhibition (2006-04-03 : Detroit, Michigan, United States)

Language:

English

Physical Description:

1 online resource

Place of Publication:

Warrendale, PA SAE International 2006

Summary:

An exact approach to linearize the equations of motion of multibody systems is presented. The method has general applicability and it is well suited to linearize the index-3 Differential Algebraic Equations (DAE) governing the state of a dynamical system. Moreover, the method was extended to linearize a dynamical system in terms of user-defined coordinates without the need to reformulate the governing equations; this feature is of particular interest in disciplines like rotordynamics where eigensolutions are requested in terms of coordinates defined in a rotating frame.Contrary to other linearization methods, the proposed approach implements a closed-form computation of the linearized equations of motion; all second order effects are taken into account and no numerical differentiation is required. The proposed method inflates the governing equations and then computes a set of sensitivities that provide the linearization of interest. The method is attractive because (a) it handles large heterogeneous problems, (b) it optionally linearizes a system in terms of user-defined coordinates, (c) it can be optimized using parallel algorithms, and (d) it provides a straightforward implementation in a general-purpose dynamics simulation code such as MSC.ADAMS

Notes:

Vendor supplied data

Publisher Number:

2006-01-0587

Access Restriction:

Restricted for use by site license