An accelerated iterative dynamic condensation method for the model order reduction of vibration systems with viscous damping is proposed. A group of governing equations for dynamic condensation matrix are derived from the eigenvalue equations defined in the state space. Two iterative schemes for solving these governing equations are provided. Based on different state space formulations, two more groups of governing equations are developed. A comparison of the present method with three iterative approaches proposed recently is provided. The present approach is implemented into two practical vibration systems, a tall building with one tuned mass damper and a floating raft isolation system. The results show that the proposed method has much higher accuracy than the other three approaches while the computational effort is almost the same.
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e-mail: zuqing.qu@us.michelin.com
e-mail: rps@engr.uark.edu
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September 2005
Technical Papers
Model Order Reduction of Viscously Damped Vibration Systems Using Accelerated Iterative Dynamic Condensation
Zu-Qing Qu,
e-mail: zuqing.qu@us.michelin.com
Zu-Qing Qu
Michelin America R&D Corporation
, 515 Michelin Road, Greenville, SC 29605
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Panneer Selvam
Panneer Selvam
Department of Civil Engineering,
e-mail: rps@engr.uark.edu
University of Arkansas
, 4190 Bell Engineering Center, Fayetteville, AR 72701
Search for other works by this author on:
Zu-Qing Qu
Michelin America R&D Corporation
, 515 Michelin Road, Greenville, SC 29605e-mail: zuqing.qu@us.michelin.com
Panneer Selvam
Department of Civil Engineering,
University of Arkansas
, 4190 Bell Engineering Center, Fayetteville, AR 72701e-mail: rps@engr.uark.edu
J. Appl. Mech. Sep 2005, 72(5): 761-771 (11 pages)
Published Online: May 23, 2005
Article history
Received:
May 23, 2003
Revised:
May 23, 2005
Citation
Qu, Z., and Selvam, P. (May 23, 2005). "Model Order Reduction of Viscously Damped Vibration Systems Using Accelerated Iterative Dynamic Condensation." ASME. J. Appl. Mech. September 2005; 72(5): 761–771. https://doi.org/10.1115/1.1993668
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