Dynamic Condensation of Nonclassically Damped Models

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

Chapter 8 in Model Order Reduction Techniques, 2004, pp 163-216 from Springer

Abstract: Abstract The static and dynamic condensation methods for undamped models have been described in Chapters 4, 5, and 6. These methods are also valid for proportionally or classically damped models because the proportional damping does not affect the normal modes of the undamped models. However, for many real-world structures and systems the proportional damping assumption is invalid. Examples of such cases are the structures made up of materials with different damping characteristics in different parts, structures equipped with passive (such as concentrated dampers) and active control systems, structures with layers of damping materials (such as smart structures), and structures with rotating parts (such as a rotor). For these structural systems, the normal modes with real values resulting from the corresponding undamped models cannot be used to uncouple the dynamic equations of the nonclassically damped model, the state vectors defined in state space are, hence, commonly used. The size of the system matrices in the state space will be doubled automatically compared to those defined in the displacement space. Therefore, the dynamic condensation technique becomes very important.

Keywords: State Space; Full Model; System Matrice; Iterative Scheme; Static Condensation (search for similar items in EconPapers)
Date: 2004
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4471-3827-3_8

Ordering information: This item can be ordered from
http://www.springer.com/9781447138273

DOI: 10.1007/978-1-4471-3827-3_8

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().