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Analysis of Laminated Shells by Murakami’s Zig-Zag Theory and Radial Basis Functions Collocation
Author(s) -
Dalal Adnan Maturi,
A.J.M. Ferreira,
Ashraf M. Zenkour,
Daoud S. Mashat
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/123465
Subject(s) - radial basis function , collocation (remote sensing) , displacement (psychology) , basis (linear algebra) , mathematics , mathematical analysis , function (biology) , collocation method , zigzag , deformation (meteorology) , boundary (topology) , basis function , geometry , physics , computer science , differential equation , psychology , ordinary differential equation , machine learning , evolutionary biology , meteorology , artificial neural network , psychotherapist , biology
The static and free vibration analysis of laminated shells is performed by radial basis functions collocation, according to Murakami’s zig-zag (ZZ) function (MZZF) theory . The MZZF theory accounts for through-the-thickness deformation, by considering a ZZ evolution of the transverse displacement with the thickness coordinate. The equations of motion and the boundary conditions are obtained by Carrera’s Unified Formulation and further interpolated by collocation with radial basis functions

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