Random Vibrations of Discrete and Continuous Inelastic Structures

by H. Irschik, Technical Univ of Vienna, Austria,
H. Hayek, Technical Univ of Vienna, Austria,
F. Ziegler, Technical Univ of Vienna, Austria,

Document Type: Proceeding Paper

Part of: Structural Safety and Reliability


Nonstationary random vibrations of elasto-plastic cantilever beams excited by earthquakes are studied, where a finite spread of inelastic zones is taken into account. Following a complete elastic-inelastic analogy, stochastic response measures of the non-linear drift process are calculated using the linear analysis corresponding to an effective and updated loading. The plastic hinge approximation is included as a limiting case. Special emphasis is given to the comparison between this probabilistic theory of effective earthquake loading and the results of an extensive simulation study using the deterministic version of the theory. For practical applications, a non-dimensional representation is given.

Subject Headings: Continuous structures | Vibration | Elasticity and Inelasticity | Elastoplasticity | Beams | Earthquakes | Plastic hinges | Stochastic processes

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