AIAA Aeroacoustics Conference Research Articles

Nonlinear resonance of rectangular plates

Restricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Geveci Berk and Walker J.D.A. 2001Nonlinear resonance of rectangular platesProc. R. Soc. Lond. A.4571215–1240http://doi.org/10.1098/rspa.2000.0716SectionRestricted accessResearch articleNonlinear resonance of rectangular plates Berk Geveci Berk Geveci Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18015, USA () Google Scholar Find this author on PubMed Search for more papers by this author and J.D.A. Walker J.D.A. Walker Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18015, USA () Google Scholar Find this author on PubMed Search for more papers by this author Berk Geveci Berk Geveci Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18015, USA () Google Scholar Find this author on PubMed Search for more papers by this author and J.D.A. Walker J.D.A. Walker Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18015, USA () Google Scholar Find this author on PubMed Search for more papers by this author Published:08 May 2001https://doi.org/10.1098/rspa.2000.0716AbstractNonlinear flow–induced oscillations of a thin rectangular plate are studied using a spectral method to calculate the vertical and tangential displacements. When the plate is subjected to forcing near the first linear resonance frequency, a complex motion with amplitude comparable to the plate thickness occurs in the form of a modulated high–frequency vibration. Numerical solutions for two– and three–dimensional plates are obtained to establish the nature of these oscillations. The numerical results are supported by an asymptotic analysis describing nonlinear resonance for rectangular plates. Previous ArticleNext Article VIEW FULL TEXT DOWNLOAD PDF FiguresRelatedReferencesDetailsCited by Rdzanek W, Wiciak J and Pawelczyk M (2022) Analysis of sound radiation from a vibrating elastically supported annular plate using compatibility layer and radial polynomials, Journal of Sound and Vibration, 10.1016/j.jsv.2021.116593, 519, (116593), Online publication date: 1-Feb-2022. Goh M, Chiew Y and Foo J (2021) Fractal-induced 2D flexible net undulation, Scientific Reports, 10.1038/s41598-021-86418-5, 11:1 Kodhanda A, Ali N, Sucheendran M and Talole S (2017) Robust control of nonlinear resonance in a clamped rectangular plate, Journal of Vibration and Control, 10.1177/1077546317721419, 24:18, (4176-4194), Online publication date: 1-Sep-2018. Ali N and Mahesh M (2018) Effect of Aspect Ratio Change on Nonlinear Resonance of Rectangular Aircraft Panel Proceedings of the International Conference on Modern Research in Aerospace Engineering, 10.1007/978-981-10-5849-3_22, (211-220), . Hilmy I, Wahab M, Adesta E and Firdaus T (2015) Damage Detection based on the Natural Frequency shifting of a clamped rectangular plate model, Journal of Physics: Conference Series, 10.1088/1742-6596/628/1/012034, 628, (012034), Online publication date: 9-Jul-2015. Sucheendran M, Bodony D and Geubelle P (2014) Coupled Structural-Acoustic Response of a Duct-Mounted Elastic Plate with Grazing Flow, AIAA Journal, 10.2514/1.J052168, 52:1, (178-194), Online publication date: 1-Jan-2014. Sucheendran M, Bodony D and Geubelle P (2012) Coupled structural-acoustic response of a duct-mounted elastic plate with grazing flow 18th AIAA/CEAS Aeroacoustics Conference (33rd AIAA Aeroacoustics Conference), 10.2514/6.2012-2169, 978-1-60086-932-7, Online publication date: 4-Jun-2012. Safizadeh M, Darus I and Mailah M (2010) Calculating the frequency modes of flexible square plate using Finite Element and Finite Difference Methods Advanced Systems (ICIAS 2010), 10.1109/ICIAS.2010.5716169, 978-1-4244-6623-8, (1-4) This Issue08 May 2001Volume 457Issue 2009 Article InformationDOI:https://doi.org/10.1098/rspa.2000.0716Published by:Royal SocietyPrint ISSN:1364-5021Online ISSN:1471-2946History: Published online08/05/2001Published in print08/05/2001 License: Citations and impact Keywordsnonlinear resonanceflow–inducedvibrationsplate

Recent developments in computational aeroacoustics

There is renewed interest in predicting aeroacoustic noise, especially for jets, rotating blades, and shock waves. These flows involve nonlinear, three-dimensional, turbulent phenomena, and nonuniform free streams. Simulating these flows requires algorithms quite different than those traditionally used in computational fluid dynamics (CFD). The time-dependent nature of aeroacoustic problems requires the algorithm to correctly simulate the dispersion and dissipation features of the flow. Good CFD algorithms usually rapidly damp out all but the steady-state portion of the flow, and are inappropriate for aeroacoustics. Computational aeroacoustics schemes have more in common with large eddy simulation (LES) algorithms than those used in CFD. Recent progress in higher-order algorithms for supersonic jets [T. S. Chyczewski and L. N. Long, 16th AIAA Aeroacoustics Conference, Paper 95-011 (1995)] and fan noise [Y. Ozyoruk and L. N. Long, 16th AIAA Aeroacoustics Conference, Paper 95-063 (1995)] illustrates that quite complicated aeroacoustic problems can be simulated. These algorithms require roughly 5-10 grid points per wavelength. The large demand on computer memory and speed requires that one use modern parallel computers, such as the IBM SP2 and the TMC CM-5. One must be careful to properly load balance the scheme and to minimize interprocessor communication. Kirchhoff surfaces are very effective in predicting the far-field solution.

The scattering of sound by turbulence in water

This paper describes experimental results on the scattering of sound by turbulence in water. The turbulence is created by a 1-in.-diam submerged water jet, nozzle velocity 648 cm/s. The sound frequency is 1 MHz. The spectral broadening of the monochromatic signal (due to the scattering of the sound by the turbulent eddies) is compared for different forward scattering angles in the case of incident plane and cylindrical waves. A theoretical model is presented to explain the plane-wave results. Results for the scattering of cylindrical waves are compared with experiments performed by Candel and Julienne [AIAA Paper No. 76-545, 3rd AIAA Aero-Acoustics Conference, Palo Alto, California (July 20–23, 1976)] in air with spherical wave sources.

Workshop Report for the 4th AIAA Aeroacoustics Conference

T*HE AIAA is ever striving to keep its membership inA formed of the latest developments and status of its several disciplines. The Aeroacoustic Technical Committee, at its 3rd Specialists Conference, established a concept of technical workshops to review the respective subject areas. These workshops are intended to create open discussion on the state of the various subtechnology problems, recent accomplishments, the major problem areas, to air legitimate differences, and to propose future needs and courses of action all from a technological point of view. These workshops are now a regular part of Aeroacoustic Conferences. This article is a summary-of the workshops conducted at the 4th AIAA Aeroacoustic Conference in October of 1977. The chairmen of these workshops prepared written summaries. These have been edited and give an overview of the status of noise technology. Specifically addressed are Jet Exhaust Noise, Turbomachinery Noise, Duct Acoustics, Aircraft Engine Core Noise, Airframe Noise, Sonic Boom and Atmospheric Wave Propagation, and V/STOL Noise Technology. Aeroacoustics is a maturing technology. Significant Advances have been made to reduce aircraft noise; witness the current widebody aircraft and the future aircraft whose designs are now under serious consideration. Substantial work will be required to produce additional significant reductions. The trend of diminishing support for technology research and development is counter to future large-increment reductions in aircraft noise. Noise is a difficult and complicated technology; new sources often appear as current sources are suppressed o«r reduced. How quiet is quiet enough? is always a valid question. However, proposed and projected noise legislation certainly will necessitate a relatively major national commitment (a reversal of trends). Much work, from basic mechanism understanding to applied demonstrations, remains to be done.

Preface and Workshop Report for the 3rd AIAA Aeroacoustics Conference

Preface and Workshop Report for the 3rd AIAA Aeroacoustics Conference