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Application of the Least Squares Method in Axisymmetric Biharmonic Problems
Joint Authors
Chekurin, Vasyl
Postolaki, Lesya
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-07-04
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
An approach for solving of the axisymmetric biharmonic boundary value problems for semi-infinite cylindrical domain was developed in the paper.
On the lateral surface of the domain homogeneous Neumann boundary conditions are prescribed.
On the remaining part of the domain’s boundary four different biharmonic boundary pieces of data are considered.
To solve the formulated biharmonic problems the method of least squares on the boundary combined with the method of homogeneous solutions was used.
That enabled reducing the problems to infinite systems of linear algebraic equations which can be solved with the use of reduction method.
Convergence of the solution obtained with developed approach was studied numerically on some characteristic examples.
The developed approach can be used particularly to solve axisymmetric elasticity problems for cylindrical bodies, the heights of which are equal to or exceed their diameters, when on their lateral surface normal and tangential tractions are prescribed and on the cylinder’s end faces various types of boundary conditions in stresses in displacements or mixed ones are given.
American Psychological Association (APA)
Chekurin, Vasyl& Postolaki, Lesya. 2016. Application of the Least Squares Method in Axisymmetric Biharmonic Problems. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1112029
Modern Language Association (MLA)
Chekurin, Vasyl& Postolaki, Lesya. Application of the Least Squares Method in Axisymmetric Biharmonic Problems. Mathematical Problems in Engineering No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1112029
American Medical Association (AMA)
Chekurin, Vasyl& Postolaki, Lesya. Application of the Least Squares Method in Axisymmetric Biharmonic Problems. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1112029
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112029