AN IMPROVED MESHLESS METHOD FOR THE STATIC AND VIBRATION ANALYSIS OF PLATES

• Type: Article in International Scientific Journal
• Date: 2013

Authors

Rodrigues, JD (Author) FEUP; Roque, CMC (Author) FEUP; Ferreira, AJM (Author) FEUP

Journal

Title: Mechanics Based Design of Structures and Machines

Vol. 41

Pages: 21-39

ISSN: 1539-7734

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 14 Citations

Scopus - 14 Citations

Scientific classification

FOS: Engineering and technology > Mechanical engineering

Other information

Authenticus ID: P-002-27N

DOI: 10.1080/15397734.2012.680348

Abstract (EN): An application of a meshless technique for the static and vibration analysis of plates is presented in this paper. The method is based on the radial basis functions-QR (RBF-QR) algorithm. Static deformations and free vibration analysis of plates are obtained by Gaussian RBF-QR technique, previously proposed by Fornberg and Piret (2007) for interpolation problems. Circular and square plates are analyzed considering free-edge, simply-supported, and fully-clamped boundary conditions. The presented technique can be applied to any geometry and node sets embedded in the 2D unitary disk. The RBF-QR approach is stable for decreasing values of the shape parameter, corresponding to flat RBFs and the conversion to polar coordinates brings an extra improvement in precision. The method produces highly accurate displacements, natural frequencies, and modes of vibrations.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 19