Application I: Model Reduction on System Level

Zu-Qing Qu ()
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Zu-Qing Qu: University of Arkansas, Department of Civil Engineering

Chapter 9 in Model Order Reduction Techniques, 2004, pp 217-253 from Springer

Abstract: Abstract Various approaches for the dynamic condensation of large size of discrete models have been presented in preceding chapters. When a new method for dynamic condensation is proposed, natural frequencies and the corresponding mode shapes are generally utilized to check the accuracy of the new approach. If the differences of natural frequencies and mode shapes between the full model and the reduced model obtained from the new condensation method are less than the prescribed tolerance, the new development is considered to be successful. Using this comparison, it can be guaranteed that the dynamic characteristics of the reduced model are close to those of the full model within the frequency range of interest. Thus, the reduced model can represent the full model within that frequency range. For this reason, all the dynamic condensation methods may be implemented into the eigenvalue analysis of large-size models. This is the traditional and widely acknowledged application and has been well demonstrated in preceding chapters.

Keywords: Model Reduction; Tall Building; Linear Quadratic Regulator; Laminate Composite Plate; Harmonic Balance Method (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-1-4471-3827-3_9

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