Abnormal long wave dispersion phenomena in a slightly compressible elastic plate with non-classical boundary conditions

Rogerson, GA; Sandiford, KJ; Prikazchikova, LA

Abstract

A two parameter asymptotic analysis is employed to investigate some unusual long wave dispersion phenomena in respect of symmetric motion in a nearly incompressible elastic plate. The plate is not subject to the usual classical traction free boundary conditions, but rather has its faces fixed, precluding any displacement on the boundary. The abnormal long wave behaviour results in the derivation of non-local approximations for symmetric motion, giving frequency as a function of wave number. Motivated by these approximations, the asymptotic forms of displacement components established and long wave asymptotic integration is carried out.

Citation

Rogerson, G., Sandiford, K., & Prikazchikova, L. (2007). Abnormal long wave dispersion phenomena in a slightly compressible elastic plate with non-classical boundary conditions. International Journal of Non-Linear Mechanics, 42(2), 298-309. https://doi.org/10.1016/j.ijnonlinmec.2007.01.005

• Journal Article Type: Article
• Publication Date: Mar 1, 2007
• Deposit Date: Aug 23, 2007
• Publicly Available Date: Aug 23, 2007
• Journal: International Journal of Non-Linear Mechanics
• Print ISSN: 0020-7462
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 42
• Issue: 2
• Pages: 298-309
• DOI: https://doi.org/10.1016/j.ijnonlinmec.2007.01.005
• Publisher URL: http://dx.doi.org/10.1016/j.ijnonlinmec.2007.01.005
• Related Public URLs: http://www.elsevier.com; http://www.elsevier.com/wps/find/journaldescription.cws_home/299/description#description