NDLI: Control-Oriented Order Reduction of Finite Element Model

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Yae, K. Harold Inman, Daniel J.
Copyright Year	1993
Abstract	In the dynamics modeling of a structure, finite element analysis employs reduction techniques, such as Guyan’s reduction, that remove some of the “insignificant” physical coordinates, that is, degrees of freedom at a node point. Despite such reduction, the resultant model is still too large for control design. This warrants further reduction as is frequently done in control design by approximating a large dynamical system with a fewer number of state variables. A problem, however, arises because a model usually undergoes, before being reduced, some form of coordinate transformations that destroy the physical meanings of the states. To correct such a problem, we developed a method that expresses a reduced model in terms of a subset of the original states. The proposed method starts with a dynamic model that is originated and reduced in finite element analysis. The model is then converted to a state-space form, and reduced further by the internal balancing method. At this stage, being in the balanced coordinate system, the states in the reduced model have no apparent resemblance to those of the original model. Through another coordinate transformation that is developed in this paper, however, this reduced model is expressed by a subset of the original states, so that the states in the reduced model can be related to the degrees of freedom of the nodes in the original finite element model.
Starting Page	708
Ending Page	711
Page Count	4
File Format	PDF
ISSN	00220434
Journal	Journal of Dynamic Systems Measurement and Control
Volume Number	115
Issue Number	4
DOI	10.1115/1.2899200
e-ISSN	15289028
Language	English
Publisher	The American Society of Mechanical Engineers
Publisher Date	1993-12-01
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Degrees of freedom Design Dynamic models Dynamic systems Dynamics (Mechanics) Finite element analysis Finite element model Modeling
Content Type	Text
Resource Type	Article
Subject	Instrumentation Control and Systems Engineering Computer Science Applications Mechanical Engineering Information Systems

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