University of Sussex
Browse

File(s) under permanent embargo

Extreme-Value-Based Bounding of Low Mid And High Frequency Responses of A Forced Plate With Random Boundary Conditions

journal contribution
posted on 2023-06-07, 23:12 authored by A Secgin, Julian DunneJulian Dunne, L Zoghaib
The problem of statistically bounding the response of an engineering structure with random boundary conditions is addressed across the entire frequency range: from the low, through the mid, to the high frequency region. Extreme-value-based bounding of both the FRF and the energy density response is examined for a rectangular linear plate with harmonic point forcing. The proposed extreme-value (EV) approach, previously tested only in the low frequency region for uncoupled and acoustically-coupled uncertain structures, is examined here in the mid and high frequency regions, in addition to testing at low frequencies. EV-based bounding uses an asymptotic threshold exceedance model of Type-I, to extrapolate the m-observational return period to an arbitrarily-large batch of structures. It does this by repeatedly calibrating the threshold model at discrete frequencies using a small sample of response data generated by Monte Carlo simulation or measurement. Here the discrete singular convolution (DSC) method a transfrequency computation approach for deterministic vibration - is used to generate Monte Carlo samples. The accuracy of the DSC method is first verified i) in terms of the spatial distribution of total energy density, and ii) across the frequency range, by comparison with a mode superposition method and Statistical Energy Analysis (SEA). EV-based bound extrapolations of the receptance FRF and total energy density are then compared with: i) directly-estimated bounds using a full set of Monte Carlo simulations, and ii) with total mean energy levels obtained with SEA. The paper shows that for a rectangular plate structure with random boundary conditions, EV-based statistical bounding of both the FRF and total energy density response is generally applicable across the entire frequency range.

History

Publication status

  • Published

Journal

Journal of Vibration and Acoustics

ISSN

1048-9002

Publisher

American Society of Mechanical Engineers

Issue

2

Volume

134

Page range

021003

Department affiliated with

  • Engineering and Design Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

Usage metrics

    University of Sussex (Publications)

    Categories

    No categories selected

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC