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        <identifier>oai:www.ideals.illinois.edu:2142/44263</identifier>
        <datestamp>2023-07-11</datestamp>
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        <thesis xmlns="http://www.ndltd.org/standards/metadata/etdms/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:dc="http://purl.org/dc/elements/1.1/" xsi:schemaLocation="http://www.ndltd.org/standards/metadata/etdms/1.1/ http://www.ndltd.org/standards/metadata/etdms/1.1/etdms11.xsd http://purl.org/dc/elements/1.1/ http://www.ndltd.org/standards/metadata/etdms/1.1/etdmsdc.xsd">
          <dc:contributor>Bodony, Daniel J.</dc:contributor>
          <dc:contributor>Bodony, Daniel J.</dc:contributor>
          <dc:contributor>Geubelle, Philippe H.</dc:contributor>
          <dc:contributor>Freund, Jonathan B.</dc:contributor>
          <dc:contributor>Masud, Arif</dc:contributor>
          <dc:creator>Manchakattil Sucheendran, Mahesh</dc:creator>
          <dc:date>2013-05-24T22:05:55Z</dc:date>
          <dc:date>2013-05-24T22:05:55Z</dc:date>
          <dc:date>2013-05</dc:date>
          <dc:date>2013-05-24T22:05:55Z</dc:date>
          <dc:date>2013-05</dc:date>
          <dc:description>The design of supersonic and hypersonic vehicles involves the challenging task of
designing thin panels that can withstand severe unsteady pressure and thermal loads.
A good understanding and accurate prediction of the coupled structural-acoustic
response of thin panels subjected to sound waves are key elements of this design
process. Due to the cost of in-flight testing, the experimental assessment of the
structural-acoustic response of skin panels is usually conducted in ground-based facilities
consisting of a duct in which acoustic waves propagate at grazing incidence
with skin panels mounted along the duct walls. A key limitation of such facility is
the absence of flow, the impact of which on the structural-acoustic response of the
skin panel is still poorly understood. To shed some insight on this key contribution,
this analytical and numerical study focuses on the structural-acoustic interaction of
sound with a thin elastic plate mounted flush on a wall in a rectangular duct in the
presence of a uniform mean subsonic and supersonic flow.
A linear, time-harmonic theory based on modal descriptions of the plate velocity
and duct acoustic fields is first developed. The theory includes the effect of uniform
mean flow in the duct and clamped and simply-supported boundary conditions for
the plate. The sound radiated by the plate is calculated using Doak’s theory,
extended in this work to account for subsonic and supersonic uniform mean flow
in the duct, and verified using the numerical solver. The theoretical model provides
important insight on the effect of flow in the duct on the coupled response of the plate.
Four metrics characterizing the coupled response are considered: the deviation of the
peak response frequency from the in vacuo natural frequency of plate, the amplitude of the peak response, the effective acoustic damping of the plate, and the plate modal
coupling through the duct acoustic field. The theory is extended to estimate the
onset of instability in the structural response of a duct-mounted clamped-plate with
grazing flow for estimating its range of applicability.
Numerical simulations of the coupled response of a duct-mounted clamped plate
are performed using a 3D coupled numerical solver, which includes a high-fidelity
finite difference fluid solver and an implicit finite element structural solver in a fully
coupled framework. The 3D solver is used to predict the response of duct-mounted
thin plates to plane waves with a broadband frequency content and in the presence
of a uniform mean flow. The spectral response of the integral average of the rms
plate velocity is computed for two plate thicknesses at various Mach numbers, and is
compared with that computed using linear theory. The predictions provided by the
theoretical model compare well with the numerical models except in the presence of
an instability.
For a typical aerospace structure, the plate-fluid coupling does little to change the
fundamental vibration frequencies from their in vacuo values but significantly alters
the amplitudes of the plate vibration. The effect of flow on the structural-acoustic
coupling is mainly by modifying the acoustic source structure of the vibrating plate
and by modifying the radiation pattern. Further, the inter-modal coupling through
the acoustic field is also a strong function of Mach number. The effect of flow in most cases is
to reduce the amplitude of the plate response until panel instability sets in.</dc:description>
          <dc:description>Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2013-02-28T19:22:09Z
Item was in collections:
University of Illinois Theses &amp; Dissertations (ID: 1)
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          <dc:identifier>http://hdl.handle.net/2142/44263</dc:identifier>
          <dc:language>en</dc:language>
          <dc:rights>Copyright 2013 Mahesh Manchakattil Sucheendran</dc:rights>
          <dc:subject>structural-acoustic interaction</dc:subject>
          <dc:subject>duct acoustics</dc:subject>
          <dc:subject>modal solution</dc:subject>
          <dc:title>Effect of grazing flow on structural-acoustic response of an elastic plate with sound in a duct</dc:title>
          <dc:type>text</dc:type>
          <degree>
            <department>Aerospace Engineering</department>
            <departmentCode>1615</departmentCode>
            <discipline>Aerospace Engineering</discipline>
            <disciplineCode>4048</disciplineCode>
            <grantor>University of Illinois at Urbana-Champaign</grantor>
            <level>Dissertation</level>
            <name>Ph.D.</name>
            <program>PHD: Aerospace Engr -UIUC</program>
            <programCode>10KS4048PHD</programCode>
          </degree>
        </thesis>
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