Model reduction of modal representations

Loucas S. Louca, Evagoras Xydas

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

Dynamic analysis is extensively used to study the behavior of continuous and lumped parameter linear systems. In addition to the physical space, analyses can also be performed in the modal space where useful frequency information of the system can be extracted. More specifically, modal analysis can be used for the analysis and controller design of dynamic systems, where reduction of model complexity without degrading the accuracy is often required for the efficient use of the model. The reduction of modal models has been extensively studied and many reduction techniques are available. The majority of these techniques use frequency as the metric to determine the reduced model. This paper describes a new method for calculating the modal power of lumped parameter systems with the use of the bond graph representation, which is developed through a power conserving modal decomposition. This method is then used to reduce the size of the model. This technique is based on the previously developed Model Order Reduction Algorithm (MORA), which uses an energy-based metric to generate a series of proper reduced models. An example is provided to demonstrate the calculation of the modal power and the elimination of unimportant modes or modal elements using MORA.

Original languageEnglish
Title of host publicationProceedings of 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Dynamic Systems and Control Division
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Print)0791837904, 9780791837900
DOIs
Publication statusPublished - 2006
Externally publishedYes
Event2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Chicago, IL, United States
Duration: Nov 5 2006Nov 10 2006

Other

Other2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006
CountryUnited States
CityChicago, IL
Period11/5/0611/10/06

Fingerprint

Modal analysis
Dynamic analysis
Linear systems
Dynamical systems
Decomposition
Controllers

Keywords

  • Bond graphs
  • Energy metrics
  • Linear systems
  • Modal analysis
  • Modal power
  • Model reduction

ASJC Scopus subject areas

  • Software
  • Mechanical Engineering

Cite this

Louca, L. S., & Xydas, E. (2006). Model reduction of modal representations. In Proceedings of 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Dynamic Systems and Control Division American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/IMECE2006-14097

Model reduction of modal representations. / Louca, Loucas S.; Xydas, Evagoras.

Proceedings of 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Dynamic Systems and Control Division. American Society of Mechanical Engineers (ASME), 2006.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Louca, LS & Xydas, E 2006, Model reduction of modal representations. in Proceedings of 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Dynamic Systems and Control Division. American Society of Mechanical Engineers (ASME), 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006, Chicago, IL, United States, 11/5/06. https://doi.org/10.1115/IMECE2006-14097
Louca LS, Xydas E. Model reduction of modal representations. In Proceedings of 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Dynamic Systems and Control Division. American Society of Mechanical Engineers (ASME). 2006 https://doi.org/10.1115/IMECE2006-14097
Louca, Loucas S. ; Xydas, Evagoras. / Model reduction of modal representations. Proceedings of 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Dynamic Systems and Control Division. American Society of Mechanical Engineers (ASME), 2006.
@inproceedings{07d8f11c513f4f0f98e5a8888c5f02e5,
title = "Model reduction of modal representations",
abstract = "Dynamic analysis is extensively used to study the behavior of continuous and lumped parameter linear systems. In addition to the physical space, analyses can also be performed in the modal space where useful frequency information of the system can be extracted. More specifically, modal analysis can be used for the analysis and controller design of dynamic systems, where reduction of model complexity without degrading the accuracy is often required for the efficient use of the model. The reduction of modal models has been extensively studied and many reduction techniques are available. The majority of these techniques use frequency as the metric to determine the reduced model. This paper describes a new method for calculating the modal power of lumped parameter systems with the use of the bond graph representation, which is developed through a power conserving modal decomposition. This method is then used to reduce the size of the model. This technique is based on the previously developed Model Order Reduction Algorithm (MORA), which uses an energy-based metric to generate a series of proper reduced models. An example is provided to demonstrate the calculation of the modal power and the elimination of unimportant modes or modal elements using MORA.",
keywords = "Bond graphs, Energy metrics, Linear systems, Modal analysis, Modal power, Model reduction",
author = "Louca, {Loucas S.} and Evagoras Xydas",
year = "2006",
doi = "10.1115/IMECE2006-14097",
language = "English",
isbn = "0791837904",
booktitle = "Proceedings of 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Dynamic Systems and Control Division",
publisher = "American Society of Mechanical Engineers (ASME)",

}

TY - GEN

T1 - Model reduction of modal representations

AU - Louca, Loucas S.

AU - Xydas, Evagoras

PY - 2006

Y1 - 2006

N2 - Dynamic analysis is extensively used to study the behavior of continuous and lumped parameter linear systems. In addition to the physical space, analyses can also be performed in the modal space where useful frequency information of the system can be extracted. More specifically, modal analysis can be used for the analysis and controller design of dynamic systems, where reduction of model complexity without degrading the accuracy is often required for the efficient use of the model. The reduction of modal models has been extensively studied and many reduction techniques are available. The majority of these techniques use frequency as the metric to determine the reduced model. This paper describes a new method for calculating the modal power of lumped parameter systems with the use of the bond graph representation, which is developed through a power conserving modal decomposition. This method is then used to reduce the size of the model. This technique is based on the previously developed Model Order Reduction Algorithm (MORA), which uses an energy-based metric to generate a series of proper reduced models. An example is provided to demonstrate the calculation of the modal power and the elimination of unimportant modes or modal elements using MORA.

AB - Dynamic analysis is extensively used to study the behavior of continuous and lumped parameter linear systems. In addition to the physical space, analyses can also be performed in the modal space where useful frequency information of the system can be extracted. More specifically, modal analysis can be used for the analysis and controller design of dynamic systems, where reduction of model complexity without degrading the accuracy is often required for the efficient use of the model. The reduction of modal models has been extensively studied and many reduction techniques are available. The majority of these techniques use frequency as the metric to determine the reduced model. This paper describes a new method for calculating the modal power of lumped parameter systems with the use of the bond graph representation, which is developed through a power conserving modal decomposition. This method is then used to reduce the size of the model. This technique is based on the previously developed Model Order Reduction Algorithm (MORA), which uses an energy-based metric to generate a series of proper reduced models. An example is provided to demonstrate the calculation of the modal power and the elimination of unimportant modes or modal elements using MORA.

KW - Bond graphs

KW - Energy metrics

KW - Linear systems

KW - Modal analysis

KW - Modal power

KW - Model reduction

UR - http://www.scopus.com/inward/record.url?scp=84920630260&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84920630260&partnerID=8YFLogxK

U2 - 10.1115/IMECE2006-14097

DO - 10.1115/IMECE2006-14097

M3 - Conference contribution

SN - 0791837904

SN - 9780791837900

BT - Proceedings of 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006 - Dynamic Systems and Control Division

PB - American Society of Mechanical Engineers (ASME)

ER -