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1st-Order Shear Deformable Beam Formulation Based on Meshless Wavelet Galerkin Method
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-27
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper examined and discussed a Meshless Wavelet Galerkin Method (MWGM) formulation for a first-order shear deformable beam, the properties of the MWGM, the differences between the MWGM and EFG, and programming methods for the MWGM.
The first-order shear deformable beam (FSDB) consists of a pair of second-order elliptic differential equations.
The weak forms of two differential equations are deduced using Hat wavelet series.
The exact integration and reduced integration were used to analyze the problems.
Some indeterminate beam problems are considered.
Condition numbers of the stiffness matrix were analyzed with exact integration and reduced integration for two cases of these problems.
Consequently, the results were converged on the analytic solutions.
The shear-locking phenomenon also occurred in the MWGM as it occurs in the conventional FEM.
The stiffness matrix calculated from the reduced integration causes a similar numerical error to the stiffness matrix calculated from the exact integration in the MWGM.
The MWGM showed desirable results in the examples.
American Psychological Association (APA)
Jo, JunHyung& Lee, Yun. 2017. 1st-Order Shear Deformable Beam Formulation Based on Meshless Wavelet Galerkin Method. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1190520
Modern Language Association (MLA)
Jo, JunHyung& Lee, Yun. 1st-Order Shear Deformable Beam Formulation Based on Meshless Wavelet Galerkin Method. Mathematical Problems in Engineering No. 2017 (2017), pp.1-11.
https://search.emarefa.net/detail/BIM-1190520
American Medical Association (AMA)
Jo, JunHyung& Lee, Yun. 1st-Order Shear Deformable Beam Formulation Based on Meshless Wavelet Galerkin Method. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1190520
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190520