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Polyharmonic Multiquadric Particular Solutions for ReissnerMindlin Plate
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-01
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Analytical particular solutions of the polyharmonic multiquadrics are derived for both the Reissner and Mindlin thick-plate models in a unified formulation.
In the derivation, the three coupled second-order partial differential equations are converted into a product operator of biharmonic and Helmholtz operators using the Hörmander operator decomposition technique.
Then a method is introduced to eliminate the Helmholtz operator, which enables the utilization of the polyharmonic multiquadrics.
Then, the analytical particular solutions of displacements, shear forces, and bending or twisting moments corresponding to the polyharmonic multiquadrics are all explicitly derived.
Numerical examples are carried out to validate these particular solutions.
The results obtained by the present method are more accurate than those by the traditional multiquadrics and splines.
American Psychological Association (APA)
Tsai, Chia-Cheng. 2015. Polyharmonic Multiquadric Particular Solutions for ReissnerMindlin Plate. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1073313
Modern Language Association (MLA)
Tsai, Chia-Cheng. Polyharmonic Multiquadric Particular Solutions for ReissnerMindlin Plate. Mathematical Problems in Engineering No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1073313
American Medical Association (AMA)
Tsai, Chia-Cheng. Polyharmonic Multiquadric Particular Solutions for ReissnerMindlin Plate. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1073313
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073313