NEHRP Clearinghouse
- Title
- Physical Space Solutions of Non-Proportionally Damped Systems.
- File
- PB91179242.pdf
- Author(s)
- Tong, M.; Liang, Z.; Lee, G. C.
- Source
- National Science Foundation, Washington, DC., January 15, 1991, 68 p.
- Identifying Number(s)
- NCEER-91-0002
- Abstract
- In the report, various numerical methods to obtain the responses of non-proportionally damped systems are compared in terms of their accuracy and efficiency. Based on a theoretical investigation of non-proportional damping mechanisms, a class of new iterative schemes are proposed followed by an analysis of their convergence and their optimal convergent speed. It is found that such iterative schemes possess faster convergent speed than many currently available numerical methods and require much less computer memory space. Moreover, the new schemes converge unconditionally for both classically and non-classically damped systems.
- Keywords
- ; Numerical analysis; Structural vibration; Seismic waves; Algorithms; Damping; Mathematical models; Dynamic response; Earthquake engineering; Energy dissipation; Vibration damping; Dynamic structural analysis