Dominant Failure Modes for Structures with Stochastic Load Processes
Publication: Journal of Engineering Mechanics
Volume 121, Issue 11
Abstract
Modal Failure probability (MFP) has no unique definition in time-invariant analysis, and true MFPs cannot be obtained without information on load history. Knowledge of true MFPs of a structure is important for design, since different failure modes have different consequences. Therefore, dominant mode identification methods for structures with time-varying random loading are needed. To this end, a three-phase method based on the first passage probability is presented to identify systematically the dominant failure modes when loads and/or resistances are stochastic processes. In phase I, the modes with higher pseudo modal outcrossing rates are identified. In phase II, modes are chosen which refine the partial system state limit surface such that the total outcrossing rate of the modes selected in phase I is minimized. Modes selected in phases I and II with outcrossing rates below a tolerance level are discarded in phase III. A rigid-plastic frame structure is provided to illustrate the effectiveness of the method. Mathematical programming formulation based on the kinematic theorem for plasticity is used to carry out the maximization and minimization processes.
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Information
Published In
Journal of Engineering Mechanics
Volume 121 • Issue 11 • November 1995
Pages: 1252 - 1260
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Nov 1, 1995
Published in print: Nov 1995
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