Multi-degree dynamic response of a system with statistical properties

✍ Scribed by P.-C. Chen; W.W. Soroka

• Publisher: Elsevier Science
• Year: 1974
• Tongue: English
• Weight: 519 KB
• Volume: 37
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(74)80033-7

✦ Synopsis

The response of a multi-degree dynamic system with statistical properties to deterministic excitations is formulated by solving a set ofgoverning equations of motion by a perturbation technique. The second-order statistical moments of the response solution are found to be related to the statistical variations in eigen-ea~s and eigenvectors which are in turn related to the second-order statistics of the system properties. A numerical example is given to illustrate (a) the application of the procedures formulated to the determination of multidegree dynamic response statistics, and (b) the effects of system property variations on design. The El Centro, California, May 18, 1940 N-S horizontal earthquake is used as the excitation. A probabilistic structural response with one standard deviation is constructed and compared in the time domain as well as in the frequency domain with the deterministic response obtained without considering structural property variations.