MODEL CONDENSATION FOR NON-CLASSICALLY DAMPED SYSTEMS-PART II: ITERATIVE SCHEMES FOR DYNAMIC CONDENSATION

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

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 250 KB
• Volume: 17
• Category: Article
• ISSN: 0888-3270
• DOI: 10.1006/mssp.2002.1527

✦ Synopsis

Based on the dynamic equations of equilibrium defined in the displacement space and the state space, two groups of iterative schemes for the dynamic condensation of nonclassically damped systems are presented. In the approach defined in the displacement space, the effect of the damping on the dynamic condensation matrix is ignored. The resulted dynamic condensation matrix is identical to that for the undamped model. One important advantage of this approach is that the system matrices of the reduced model are also defined in the displacement space. This makes it easy in further dynamic analysis. Because the effect of damping is not included in the dynamic condensation matrix, the iteration of this approach will not converge to the exact values, especially for the damping parameters. To solve this problem, three iterative approaches for the dynamic condensation defined in the state space are discussed. The reduced model resulted from these algorithms converges to the full model after sufficient iterations. However, the system matrices of the reduced model are defined in the state space. It is very difficult to give the explicit forms of the stiffness, mass and damping matrices in the displacement space. Two numerical examples that have been used in Part I are used in this part. The results show that, as for the accuracy of the reduced model, the approaches defined in the state space are much better than that defined in the displacement space. The newly proposed scheme has the highest accuracy.