Reinforced cylindrical shells are used in numerous industries; common examples include undersea vehicles, aircraft, and industrial piping. Current models typically incorporate approximation theories to determine shell behavior, which are limited by both thickness and frequency. In addition, many applications feature coatings on the shell interior or exterior that normally have thicknesses which must also be considered. To increase the fidelity of such systems, this work develops an analytic model of an elastic cylindrical shell featuring periodically spaced ring stiffeners with a coating applied to the outer surface. There is an external fluid environment. Beginning with the equations of elasticity for a solid, spatial-domain displacement field solutions are developed incorporating unknown wave propagation coefficients. These fields are used to determine stresses at the boundaries of the shell and coating, which are then coupled with stresses from the stiffeners and fluid. The stress boundary conditions contain double-index infinite summations, which are decoupled, truncated, and recombined into a global matrix equation. The solution to this global equation results in the displacement responses of the system as well as the exterior scattered pressure field. An incident acoustic wave excitation is considered. Thin-shell reference models are used for validation, and the predicted system response to an example simulation is examined. It is shown that the reinforcing ribs and coating add significant complexity to the overall cylindrical shell model; however, the proposed approach enables the study of structural and acoustic responses of the coupled system.
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February 2019
Research-Article
Elastic Response of Acoustic Coating on Fluid-Loaded Rib-Stiffened Cylindrical Shells
Christopher Gilles Doherty,
Christopher Gilles Doherty
Department of Mechanical Engineering,
Virginia Polytechnic Institute and
State University,
Blacksburg, VA 24061
e-mail: dohertyc@vt.edu
Virginia Polytechnic Institute and
State University,
Blacksburg, VA 24061
e-mail: dohertyc@vt.edu
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Steve C. Southward,
Steve C. Southward
Department of Mechanical Engineering,
Virginia Polytechnic Institute and
State University,
Blacksburg, VA 24061
e-mail: scsouth@vt.edu
Virginia Polytechnic Institute and
State University,
Blacksburg, VA 24061
e-mail: scsouth@vt.edu
Search for other works by this author on:
Andrew J. Hull
Andrew J. Hull
Undersea Warfare Weapons, Vehicles and
Defensive Systems Department,
Naval Undersea Warfare Center Division,
Newport, RI 02841
e-mail: andrew.hull@navy.mil
Defensive Systems Department,
Naval Undersea Warfare Center Division,
Newport, RI 02841
e-mail: andrew.hull@navy.mil
Search for other works by this author on:
Christopher Gilles Doherty
Department of Mechanical Engineering,
Virginia Polytechnic Institute and
State University,
Blacksburg, VA 24061
e-mail: dohertyc@vt.edu
Virginia Polytechnic Institute and
State University,
Blacksburg, VA 24061
e-mail: dohertyc@vt.edu
Steve C. Southward
Department of Mechanical Engineering,
Virginia Polytechnic Institute and
State University,
Blacksburg, VA 24061
e-mail: scsouth@vt.edu
Virginia Polytechnic Institute and
State University,
Blacksburg, VA 24061
e-mail: scsouth@vt.edu
Andrew J. Hull
Undersea Warfare Weapons, Vehicles and
Defensive Systems Department,
Naval Undersea Warfare Center Division,
Newport, RI 02841
e-mail: andrew.hull@navy.mil
Defensive Systems Department,
Naval Undersea Warfare Center Division,
Newport, RI 02841
e-mail: andrew.hull@navy.mil
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received February 17, 2018; final manuscript received August 22, 2018; published online October 16, 2018. Assoc. Editor: Stefano Lenci. This work is in part a work of the U.S. Government. ASME disclaims all interest in the U.S. Government's contributions.
J. Vib. Acoust. Feb 2019, 141(1): 011020 (9 pages)
Published Online: October 16, 2018
Article history
Received:
February 17, 2018
Revised:
August 22, 2018
Citation
Doherty, C. G., Southward, S. C., and Hull, A. J. (October 16, 2018). "Elastic Response of Acoustic Coating on Fluid-Loaded Rib-Stiffened Cylindrical Shells." ASME. J. Vib. Acoust. February 2019; 141(1): 011020. https://doi.org/10.1115/1.4041306
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