Research Article

Derivation of Explicit Augmented Spline Finite Strip Matrix Using Mixed Formulation For Plate Bending

Abdarrhim Mohammed Ahmed
Basic Science Department, College of Electronics Technology / Bani-walid, Libya
* Corresponding author
Saleh Y. Barony
Department of Civil Eng. Department, School of Engineering, Libyan Academy of Graduate Studies, Tripoli, Libya
DOI icon 10.24018/ejeng.2019.4.8.1421

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Submitted 2019-07-07
Published 2019-08-23

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Article Main Content

Although Spline finite strip method for the analysis of plate bending based on a mixed variational formulation principle , using a variety B-Spline series as interpolation function  was widely used in researches , the explicit form of the Augmented Matrix  nowhere  given. This leads to some difficulties concerning the verification and understanding the published results. The main objective of this paper is to introduce this matrix in abbreviated size through a detailed review of the mixed formulation for different spline finite strip models. The derived matrix will be helpful subject of research future work  as it is examined by the time, reveals a very good accordance results compared with the analytical and published solutions of different plate bending problems as the reader can verified.

 

Keywords: B-Spline Interpolation Finite Strip Method Mixed Formulation Plate Bending

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