Nonlinear Oscillations of a Fluttering Plate Resting on a Unidirectional Elastic Foundation

Abstract

No AccessTechnical NoteNonlinear Oscillations of a Fluttering Plate Resting on a Unidirectional Elastic FoundationBenjamin D. Goldman and Earl H. DowellBenjamin D. GoldmanDepartment of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708*Graduate Student, Department of Mechanical Engineering and Materials Science. Student Member AIAA.Search for more papers by this author and Earl H. DowellDepartment of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708†William Holland Professor, Department of Mechanical Engineering and Materials Science. Honorary Fellow AIAA.Search for more papers by this authorPublished Online:16 Sep 2014https://doi.org/10.2514/1.J053290SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Dowell E., Dugundji J. and Perkin B., “Subsonic Flutter of Panels on Continuous Elastic Foundations,” AIAA Journal, Vol. 1, No. 5, 1963, pp. 1146–1154. doi:https://doi.org/10.2514/3.1738 AIAJAH 0001-1452 LinkGoogle Scholar[2] Dugundji J., “Theoretical Considerations of Panel Flutter at High Supersonic Mach Numbers,” AIAA Journal, Vol. 4, No. 7, 1966, pp. 1257–1266. doi:https://doi.org/10.2514/3.3657 AIAJAH 0001-1452 LinkGoogle Scholar[3] Chopra I., “Flutter of a Panel Supported on an Elastic Foundation,” AIAA Journal, Vol. 13, No. 5, 1975, pp. 687–688. doi:https://doi.org/10.2514/3.49789 AIAJAH 0001-1452 LinkGoogle Scholar[4] Rao G. V. and Rao K. S., “Supersonic Flutter of Short Panels on an Elastic Foundation,” AIAA Journal, Vol. 22, No. 6, 1984, pp. 856–857. doi:https://doi.org/10.2514/3.8698 AIAJAH 0001-1452 LinkGoogle Scholar[5] Del Corso J. A., Cheatwood F. M., Bruce W. E., Hughes S. J. and Calomino A. M., “Advanced High-Temperature Flexible TPS for Inflatable Aerodynamic Decelerators,” 21st AIAA Aerodynamic Decelerator Systems Technology Conference and Seminar, Vol. 1, AIAA, Reston, VA, 2011, pp. 139–161. Google Scholar[6] Dowell E., Aeroelasticity of Plates and Shells, No. 1, Springer, New York, 1975, pp. 38–39. Google Scholar[7] Bader B. W. and Kolda T. G., “Algorithm 862: MATLAB Tensor Classes for Fast Algorithm Prototyping,” ACM Transactions on Mathematical Software (TOMS), Vol. 32, No. 4, 2006, pp. 635–653. doi:https://doi.org/10.1145/1186785.1186794 CrossrefGoogle Scholar Previous article