Nonmodal model order reduction (MOR) techniques present accurate and efficient ways to approximate input–output behavior of large-scale mechanical structures. In this regard, Krylov-based model reduction techniques for second-order mechanical structures are typically known to require a priori knowledge of the original system parameters, such as expansion points (or eigenfrequencies). The calculation of the eigenfrequencies of the original finite-element (FE) model can be significantly time-consuming for large-scale structures. Existing iterative rational Krylov algorithm (IRKA) addresses this issue by iteratively updating the expansion points for first-order formulations until convergence criteria are achieved. Motivated by preserving the model properties of second-order systems, this paper extends the IRKA method to second-order formulations, typically encountered in mechanical structures. The proposed second-order IRKA method is implemented on a large-scale system as an example and compared with the standard Krylov and Craig-Bampton reduction techniques. The results show that the second-order IRKA method provides tangibly reduced error for a multi-input-multi-output (MIMO) mechanical structure compared to the Craig-Bampton. In addition, unlike the standard Krylov methods, the second-order IRKA does not require the information on expansion points, which eliminates the need to perform a modal analysis on the original structure. This can be especially advantageous for large-scale systems where calculations of the eigenfrequencies of the original structure can be computationally expensive. For such large-scale systems, the proposed MOR technique can lead to significant reductions of the computational time.
Skip Nav Destination
Article navigation
August 2016
Research-Article
Shift-Independent Model Reduction of Large-Scale Second-Order Mechanical Structures
Masih Mahmoodi,
Masih Mahmoodi
Department of Mechanical and
Industrial Engineering,
University of Toronto,
5 King's College Road,
Toronto, ON M5S 3G8, Canada
e-mail: masih.mahmoodi@utoronto.ca
Industrial Engineering,
University of Toronto,
5 King's College Road,
Toronto, ON M5S 3G8, Canada
e-mail: masih.mahmoodi@utoronto.ca
Search for other works by this author on:
Kamran Behdinan
Kamran Behdinan
Department of Mechanical and
Industrial Engineering,
University of Toronto,
5 King's College Road,
Toronto, ON M5S 3G8, Canada
e-mail: behdinan@mie.utoronto.ca
Industrial Engineering,
University of Toronto,
5 King's College Road,
Toronto, ON M5S 3G8, Canada
e-mail: behdinan@mie.utoronto.ca
Search for other works by this author on:
Masih Mahmoodi
Department of Mechanical and
Industrial Engineering,
University of Toronto,
5 King's College Road,
Toronto, ON M5S 3G8, Canada
e-mail: masih.mahmoodi@utoronto.ca
Industrial Engineering,
University of Toronto,
5 King's College Road,
Toronto, ON M5S 3G8, Canada
e-mail: masih.mahmoodi@utoronto.ca
Kamran Behdinan
Department of Mechanical and
Industrial Engineering,
University of Toronto,
5 King's College Road,
Toronto, ON M5S 3G8, Canada
e-mail: behdinan@mie.utoronto.ca
Industrial Engineering,
University of Toronto,
5 King's College Road,
Toronto, ON M5S 3G8, Canada
e-mail: behdinan@mie.utoronto.ca
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received July 2, 2015; final manuscript received March 29, 2016; published online May 25, 2016. Assoc. Editor: Walter Lacarbonara.
J. Vib. Acoust. Aug 2016, 138(4): 041015 (8 pages)
Published Online: May 25, 2016
Article history
Received:
July 2, 2015
Revised:
March 29, 2016
Citation
Mahmoodi, M., and Behdinan, K. (May 25, 2016). "Shift-Independent Model Reduction of Large-Scale Second-Order Mechanical Structures." ASME. J. Vib. Acoust. August 2016; 138(4): 041015. https://doi.org/10.1115/1.4033340
Download citation file:
Get Email Alerts
Cited By
Boundary-Element Analysis of the Noise Scattering for Urban Aerial Mobility Vehicles: Solver Development and Assessment
J. Vib. Acoust (October 2024)
Related Articles
Structural Dynamic System Reconstruction Method for Vibrating Structures
J. Dyn. Sys., Meas., Control (December,2003)
Design Methodology for Microelectromechanical Systems. Case Study: Torsional Scanner Mirror
J. Mech. Des (October,2007)
Virtual Vibration Measurement Using KLT Motion Tracking Algorithm
J. Dyn. Sys., Meas., Control (January,2010)
Integrally Bladed Rotor Mistuning Identification and Model Updating Using Geometric Mistuning Models
J. Eng. Gas Turbines Power (December,2021)
Related Proceedings Papers
Related Chapters
Fitting a Function and Its Derivative
Intelligent Engineering Systems Through Artificial Neural Networks, Volume 17
CMA1-2 Based on Coordinate Transformation
International Conference on Electronics, Information and Communication Engineering (EICE 2012)
Impact of Fuzzy ARTMAP Match Tracking Strategies on the Recognition of Handwritten Digits
Intelligent Engineering Systems through Artificial Neural Networks, Volume 16