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Exact Stiffness for Beams on Kerr-Type Foundation : The Virtual Force Approach
Joint Authors
Kwon, Minho
Damrongwiriyanupap, Nattapong
Jung, Wooyoung
Limkatanyu, Suchart
Prachasaree, Woraphot
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-24
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper alternatively derives the exact element stiffness equation for a beam on Kerr-type foundation.
The shear coupling between the individual Winkler-spring components and the peripheral discontinuity at the boundaries between the loaded and the unloaded soil surfaces are taken into account in this proposed model.
The element flexibility matrix is derived based on the virtual force principle and forms the core of the exact element stiffness matrix.
The sixth-order governing differential compatibility of the problem is revealed using the virtual force principle and solved analytically to obtain the exact force interpolation functions.
The matrix virtual force equation is employed to obtain the exact element flexibility matrix based on the exact force interpolation functions.
The so-called “natural” element stiffness matrix is obtained by inverting the exact element flexibility matrix.
One numerical example is utilized to confirm the accuracy and the efficiency of the proposed beam element on Kerr-type foundation and to show a more realistic distribution of interactive foundation force.
American Psychological Association (APA)
Limkatanyu, Suchart& Prachasaree, Woraphot& Damrongwiriyanupap, Nattapong& Kwon, Minho& Jung, Wooyoung. 2013. Exact Stiffness for Beams on Kerr-Type Foundation : The Virtual Force Approach. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-486206
Modern Language Association (MLA)
Limkatanyu, Suchart…[et al.]. Exact Stiffness for Beams on Kerr-Type Foundation : The Virtual Force Approach. Journal of Applied Mathematics No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-486206
American Medical Association (AMA)
Limkatanyu, Suchart& Prachasaree, Woraphot& Damrongwiriyanupap, Nattapong& Kwon, Minho& Jung, Wooyoung. Exact Stiffness for Beams on Kerr-Type Foundation : The Virtual Force Approach. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-486206
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486206