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research-article

Uncertain structural free vibration analysis with non-probabilistic spatially varying parameters

[+] Author and Article Information
Jinwen Feng

School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia
jinwen.feng@unsw.edu.au

Qingya Li

School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia
z5101254@ad.unsw.edu.au

Alba Sofi

Department of Architecture and Territory (dArTe), Inter-University Centre of Theoretical and Experimental Dynamics, University "Mediterranea" of Reggio Calabria, 89124 Reggio Calabria, Italy
alba.sofi@unirc.it

Guoyin Li

School of Mathematics and Statistics, The University of New South Wales, Sydney, NSW 2052, Australia
g.li@unsw.edu.au

Di Wu

School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia
di.wu@unsw.edu.au

Wei Gao

School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia
w.gao@unsw.edu.au

1Corresponding author.

ASME doi:10.1115/1.4041501 History: Received June 13, 2018; Revised September 03, 2018

Abstract

The uncertain free vibration analysis of engineering structures with the consideration of non-stochastic 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 discretisation scheme, evaluations of natural frequencies for engineering structures involving interval fields can be executed within the framework of the finite element method (FEM). 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 discretised interval field. The plausibility of the adopted interval field model, as well as the feasibility of the proposed computational scheme, are clearly demonstrated by investigating both academic sized and practically motivated engineering structures.

Copyright (c) 2018 by ASME
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