Reliability of Controlled Structures Subject to Real Parameter Uncertaintiesby B. F. Spencer, Jr., Univ of Notre Dame, Notre Dame, United States,
C. Montemagno, Univ of Notre Dame, Notre Dame, United States,
M. K. Sain, Univ of Notre Dame, Notre Dame, United States,
P. M. Sain, Univ of Notre Dame, Notre Dame, United States,
Abstract: This paper presents a systematic and probabilistically consistent approach for determining the likelihood that instability will result from the uncertainty inherently present in a controlled structure. The formulation employs the Hurwitz determinants to characterize the stability of the system. A single degree-of-freedom structure with a delayed controller is investigated to illustrate the methodology. Second order reliability methods are used to calculate the probability of instability for both ideal and phase corrected control strategies.
Subject Headings: Structural reliability | Structural analysis | Uncertainty principles | Probability | Parameters (statistics) | Hydraulic structures | Degrees of freedom | Active control
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