Vibrations of skewed cantilevered triangular, trapezoidal and parallelogram Mindlin plates with considering corner stress singularities

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

*此作品的通信作者

研究成果: Article同行評審

40 引文 斯高帕斯(Scopus)

摘要

Based on the Mindlin shear deformation plate theory, a method is presented for determining natural frequencies of skewed cantilevered triangular, trapezoidal and parallelogram plates using the Ritz method, considering the effects of stress singularities at the clamped re-entrant corner. The admissible displacement functions include polynomials and corner functions. The admissible polynomials form a mathematically complete set and guarantee the solution convergent to the exact frequencies when sufficient terms are used. The corner functions properly account for the singularities of moments and shear forces at the re-entrant corner and accelerate the convergence of the solution. Detailed convergence studies are carried out for plates of various shapes to elucidate the positive effects of corner functions on the accuracy of the solution. The results obtained herein are compared with those obtained by other investigators to demonstrate the validity and accuracy of the solution.

原文English
頁(從 - 到)1789-1806
頁數18
期刊International Journal for Numerical Methods in Engineering
62
發行號13
DOIs
出版狀態Published - 7 4月 2005

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