MODEL CONDENSATION FOR NON-CLASSICALLY DAMPED SYSTEMS—PART I: STATIC CONDENSATION

✍ Scribed by Z.-Q QU; Y JUNG; R.P SELVAM

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 186 KB
• Volume: 17
• Category: Article
• ISSN: 0888-3270
• DOI: 10.1006/mssp.2002.1526

✦ Synopsis

Three condensation methods for the model reduction of non-classically damped systems are presented. One is defined in the displacement space and the other two are defined in the state space. Since the damping and inertia forces on all degrees of freedom of the full model are ignored, these algorithms are considered as the static condensation. One advantage of these condensation methods is that the explicit forms of the reduced stiffness, mass, and damping matrices can be directly obtained from the reduced model. These explicit reduced system matrices are very useful in further dynamic analyses. These approaches are compared from the assumptions, condensation matrices, computational work and the reduced system matrices. With the introduction of the generalised inverse of matrix, the method defined in the displacement space is extended and one variant is derived. Numerical examples, one three-degree-of-freedom discrete system and one floating raft isolation system, are applied to demonstrate the features of these methods.