The Earthquake Engineering Online Archive

Ritz Method for Dynamic Analysis of Large Discrete Linear Systems With Non-Proportional Damping

Ibrahimbegovic, Adnan H.; Chen, Harn-Ching; Wilson, Edward L.; Taylor, Robert L.

UCB/SEMM-1989/15, Dept. of Civil Engineering, University of California, Berkeley, 1989-07, 37 pages

Real and complex Ritz vector basis for dynamic analysis of large linear systems with non-proportional damping are presented and compared. Both vector bases are generated utilizing load dependent vector algorithms that employ recurrence equations analogous to the Lanczos algorithm. The choice of static response to fixed spatial loading distribution, as a starting vector in recurrence equations, is motivated by the static correction concept. Different phases of dynamic response analysis are compared with respect to computational efficiency and accuracy.

Available online: http://nisee.berkeley.edu/documents/SEMM/SEMM-89-15.pdf (15 MB)