Picture of a black hole

Strathclyde Open Access research that creates ripples...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of research papers by University of Strathclyde researchers, including by Strathclyde physicists involved in observing gravitational waves and black hole mergers as part of the Laser Interferometer Gravitational-Wave Observatory (LIGO) - but also other internationally significant research from the Department of Physics. Discover why Strathclyde's physics research is making ripples...

Strathprints also exposes world leading research from the Faculties of Science, Engineering, Humanities & Social Sciences, and from the Strathclyde Business School.

Discover more...

Transverse vibration analysis of a prestressed thin circular plate in contact with an acoustic cavity

Gorman, Daniel G. and Lee, Chee K. and Craighead, Ian A. and Horáček, Jaromır (2005) Transverse vibration analysis of a prestressed thin circular plate in contact with an acoustic cavity. Engineering Mechanics, 12 (6). pp. 417-427. ISSN 1802-1484

[img] Microsoft Word
Gorman_DG_Transverse_vibration_analysis_of_a_prestressed_thin_circular_plate_in_contact_with_an_acoustic_cavity_2005.doc - Preprint

Download (281kB)

Abstract

This paper describes the free transverse vibration analysis of a thin circular plate, subjected to in plane stretching, whilst in interaction with a cylindrical acoustic cavity. An analysis is performed which combines the equations describing the plate and the acoustic cavity to form a matrix equation which, when solved, produces the natural frequencies (latent roots) of the coupled system and associated latent vectors which describe the mode shape coefficients of the plate. After assessing the numerical convergence of the method, results are compared with those from a commercial finite element code (ANSYS). The results analysis is then extended to investigate the effect of stressing upon the free vibration of the coupled system.