Picture of two heads

Open Access research that challenges the mind...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including those from the School of Psychological Sciences & Health - but also papers by researchers based within the Faculties of Science, Engineering, Humanities & Social Sciences, and from the Strathclyde Business School.

Discover more...

A comparative study of axisymmetric finite elements for the vibration of thin cylindrical shells conveying fluid

Zhang, Yong Liang and Reese, Jason M. and Gorman, Daniel G. (2002) A comparative study of axisymmetric finite elements for the vibration of thin cylindrical shells conveying fluid. International Journal for Numerical Methods in Engineering, 54 (1). pp. 89-110. ISSN 0029-5981

Full text not available in this repository. (Request a copy from the Strathclyde author)

Abstract

A comparative study of the relative performance of several different axisymmetric finite elements, when applied to the dynamic problem of thin cylindrical shells conveying fluid, is presented. The methods used are based on (1) the Sanders' theory of thin shells and the potential flow theory, and (2) the theory of elasticity and the Euler equations. The elements studied are: linear, paralinear, parabolic and cubilinear. Extensive comparison with experiment is carried out for the free vibration of cylindrical shells in the absence of, and containing, quiescent and flowing fluid. The analysis of the relative competence of these elements is presented for shell length-to-radius ratios 1.95L/R32, shell radius-to-thickness ratios 10R/h375 and boundary conditions: clamped-clamped, clamped-free and simply supported. We show that natural frequencies of thin cylindrical shells in the absence of, and containing, quiescent and flowing fluid can be assessed accurately when using two- and eight-noded elements, and the latter are also applicable to the dynamic problem of thick cylindrical shells.