Summary
Nonstationary random vibrations of elasto-plastic cantilever beams in oblique bending excited by earthquakes are studied, where a finite spread of inelastic zones along the beam axis is taken into account. Following a complete elastic-inelastic analogy, deflection is splitted into the drift and into a linear elastic vibration. The linear part is derived under the condition of time-invariant (initial) stiffness, but is due to an effective earthquake excitation. Stochastic response measures of the drift process are calculated using results of the linear analysis corresponding to this effective and updated loading. The plastic hinge approximation is included as a limiting case.
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Irschik, H., Hayek, H., Ziegler, F. (1988). Nonstationary Random Vibrations of Continuous Inelastic Structures Taking into Account the Finite Spread of Plastic Zones. In: Ziegler, F., Schuëller, G.I. (eds) Nonlinear Stochastic Dynamic Engineering Systems. IUTAM Symposium. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83334-2_8
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DOI: https://doi.org/10.1007/978-3-642-83334-2_8
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