Uncertain Structural Free Vibration Analysis With Non-Probabilistic Spatially Varying Parameters
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering
Volume 5, Issue 2
Abstract
The uncertain free vibration analysis of engineering structures with the consideration of nonstochastic spatially dependent uncertain parameters is investigated. A recently proposed concept of interval field is implemented to model the intrinsic spatial dependency of the uncertain-but-bounded system parameters. By employing the appropriate discretization scheme, evaluations of natural frequencies for engineering structures involving interval fields can be executed within the framework of the finite element method. Furthermore, a robust, yet efficient, computational strategy is proposed such that the extreme bounds of natural frequencies of the structure involving interval fields can be rigorously captured by performing two independent eigen-analyses. Within the proposed computational analysis framework, the traditional interval arithmetic is not employed so that the undesirable effect of the interval overestimation can be completely eliminated. Consequently, both sharpness and physical feasibility of the results can be guaranteed to a certain extent for any discretized interval field. The plausibility of the adopted interval field model, as well as the feasibility of the proposed computational scheme, is clearly demonstrated by investigating both academic-sized and practically motivated engineering structures. This article is available in the ASME Digital Collection at https://doi.org/10.1115/1.4041501.
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Copyright © 2019 by ASME.
History
Received: Jun 13, 2018
Revision received: Sep 3, 2018
Published online: Apr 17, 2019
Published in print: Jun 1, 2019
Authors
Funding Information
Australian Research Council10.13039/501100000923: DP160103919
Australian Research Council10.13039/501100000923: IH150100006
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