Vibrations of Mindlin sectorial plates using the Ritz method considering stress singularities

Chiung-Shiann Huang*, M. J. Chang, A. W. Leissa

*此作品的通信作者

研究成果: Article同行評審

5 引文 斯高帕斯(Scopus)

摘要

This paper reports very accurate vibration frequencies of moderately thick sectorial plates with various boundary conditions and vertex angles (=90°, 180°, 270°, 300°, 330°, and 355°) based on Mindlin plate theory, and provides the nodal patterns of their vibration modes for the first time in the published literature. Most of the extensive frequencies presented are exact to the four digits shown. The classical Ritz method is employed, using corner functions and algebraic trigonometric functions as the admissible functions. Because the corner functions properly describe the singularity behaviors of moments and shear forces in the vicinity of the vertex of a sectorial plate, they substantially enhance the convergence and accuracy of the numerical results, which is shown by convergence studies.

原文English
頁(從 - 到)635-657
頁數23
期刊JVC/Journal of Vibration and Control
12
發行號6
DOIs
出版狀態Published - 1 6月 2006

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