Vibration Analysis of Rectangular Plates with Free Corners Using Spline-Based Differential Quadrature | Zendy

Hongzhi Zhong | Zendy; Qiang Guo | Zendy

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Vibration Analysis of Rectangular Plates with Free Corners Using Spline-Based Differential Quadrature

Author(s) -

Hongzhi Zhong,

Qiang Guo

Publication year - 2003

Publication title -

shock and vibration

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.418

H-Index - 45

eISSN - 1875-9203

pISSN - 1070-9622

DOI - 10.1155/2004/948153

Subject(s) - quadrature (astronomy) , vibration , spline (mechanical) , differential (mechanical device) , structural engineering , mathematics , mathematical analysis , geometry , engineering , acoustics , physics , electronic engineering , aerospace engineering

A spline-based differential quadrature method (SDQM) is elaborated and applied to the vibration analysis of rectangular plates with free edges. The sextic B-spline functions are used to construct the pertaining cardinal spline interpolants. Thus, explicit expressions of weighting coefficients for approximation of derivatives are obtained. Free vibrations of rectangular plates with free edges, which pose considerable challenge to the conventional differential quadrature, are dealt with and the results are in excellent agreement with those in the literature, highlighting the effectiveness and potential of the spline-based differential quadrature

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