Random Vibration Hysteretic, Degrading Systemsby Thomas T. Baber, (A.M.ASCE), Asst. Prof. of Civ. Engrg.; Univ. of Virginia, Charlottesville, Va.,
Yi-Kwei Wen, (M.ASCE), Assoc. Prof. of Civ. Engrg.; Univ. of Illinois, Urbana, Ill.,
Serial Information: Journal of the Engineering Mechanics Division, 1981, Vol. 107, Issue 6, Pg. 1069-1087
Document Type: Journal Paper
A differential equation model for hysteretic systems with strength, stiffness or combined degradation is presented. Solution under white noise, Kanai filtered white noise and temporally modulated filtered white noise is obtained by equivalent linearization, without recourse to the Krylov-Bogoliubov approximation typically required for hysteretic systems. Resulting zero time lag covariance response matrices agree well with simulated solutions at all excitation levels. First passage predictions are nonconservative, because of the non-Gaussian character of the response.
Subject Headings: Vibration | Filters | Matrix (mathematics) | Linear functions | Approximation methods | Chemical degradation | Stiffening | Differential equations | Excitation (physics)
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