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Random vibration testing with controlled samples
Author(s) -
Sundar V. S.,
Manohar C. S.
Publication year - 2014
Publication title -
structural control and health monitoring
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.587
H-Index - 62
eISSN - 1545-2263
pISSN - 1545-2255
DOI - 10.1002/stc.1646
Subject(s) - random vibration , estimator , reliability (semiconductor) , girsanov theorem , structural system , vibration , torsion (gastropod) , engineering , algorithm , mathematics , computer science , structural engineering , statistics , stochastic differential equation , physics , medicine , power (physics) , surgery , quantum mechanics
SUMMARY This paper proposes a novel experimental test procedure to estimate the reliability of structural dynamical systems under excitations specified via random process models. The samples of random excitations to be used in the test are modified by the addition of an artificial control force. An unbiased estimator for the reliability is derived based on measured ensemble of responses under these modified inputs based on the tenets of Girsanov transformation. The control force is selected so as to reduce the sampling variance of the estimator. The study observes that an acceptable choice for the control force can be made solely based on experimental techniques and the estimator for the reliability can be deduced without taking recourse to mathematical model for the structure under study. This permits the proposed procedure to be applied in the experimental study of time‐variant reliability of complex structural systems that are difficult to model mathematically. Illustrative example consists of a multi‐axes shake table study on bending–torsion coupled, geometrically non‐linear, five‐storey frame under uni/bi‐axial, non‐stationary, random base excitation. Copyright © 2014 John Wiley & Sons, Ltd.