Vector-Process Models for System Reliability

by Daniele Veneziano, (A.M.ASCE), Asst. Prof. of Civ. Engrg.; Massachusetts Inst. of Tech., Cambridge, Mass.,
C. Allin Cornell, (M.ASCE), Prof. of Civ. Engrg.; Massachusetts Inst. of Tech., Cambridge, Mass.,
Mircea Grigoriu, Grad. Research Asst.; Dept. of Civ. Engrg., Massachusetts Inst. of Tech., Cambridge, Mass.,

Serial Information: Journal of the Engineering Mechanics Division, 1977, Vol. 103, Issue 3, Pg. 441-460

Document Type: Journal Paper


The theoretical and practical viability of multivariate time-dependent failure rate analysis is considered when the reliability model involves crossings of gauss n-vector processes out of safe-regions. While the mathematical approach is not novel, its potential for engineering application had not been explored significantly before. In this sense, a number of specific results — such as the mean failure rate of systems with piecewise linear failure boundary — are derived, which will ease the application to many cases of engineering interest. Multivariate crossing problems of the type examined here arise in the safety study of structural systems subjected to multivariate time-dependent input or with multimodal failure conditions. Two examples of time-dependent static and dynamic structural safety are studied: an RC column under moment and axial force and the joint safety of three separate stories in a building subjected to random support movement.

Subject Headings: Failure analysis | Structural safety | System reliability | Time dependence | Dynamic structural analysis | Concrete columns | Structural failures | Mathematical models

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