Analysis of Rectangular Plates on Resting Winkler and Two-Parameter Elastic Foundation Models by Finite Difference Method
Abstract
Analysis of rectangular plates on a rising elastic foundation is common when designing the foundation of civil, traffic, and irrigation works. The current research presents the results of the analysis of rectangular plates on rising Winkler elastic and two-parameter foundation using the finite difference method. The computational programming was done on Matlab. The results of the research verify the accuracy of the FEM and are in agreement with findings in the literature. In addition, this research also compares the calculation results of two foundation models and investigates the change of plate height ratio to plate size.
Keywords:
finite difference method, Kirchhoff’s plate, Winkler foundations, two-parameter elastic foundationDownloads
References
C. B. Dolicanin, V. B. Nikolic, D. C. Dolicanin, “Application of finite difference method to study of the phenomenon in the theory of thin plates”, Scientific Publications of the State University of Novi Pazar, Vol. 2, No. 1, pp. 29-43, 2010
A. Ghods, M. Mir, “Analysis of rectangular thin plates by using finite difference method”, Journal of Novel Applied Sciences, Vol. 3, No. 3, pp. 260-267, 2014
Roknuzzaman, B. Hossain, R. Haque, T. U. Ahmed, “Analysis of rectangular plate with opening by finite difference method”, American Journal of Civil Engineering and Architecture, Vol. 3, No. 5, pp. 165-173, 2015
S. A. Hemzah, M. A. Jaber, “Sector steel plate analysis using finite difference method”, Journal of the University of Kerbala, Vol. 15, No. 3, pp. 79-93, 2017
B. O. Mama, C. C. Ike, H. N. Onah, C. U. Nwoji, “Analysis of rectangular Kirchhoff plate on winkler foundationusing finite fourier sine transform method”, IOSR Journal of Mathematics, Vol. 13, No. 4, pp. 58-66, 2017 DOI: https://doi.org/10.9790/5728-1301065866
E. S. Melerski, “Simple computer analysis of circular rafts under various axisymmetric loading and elastic foundation conditions”, Proceedings of the Institute of Civil Engineers, Vol. 89, No. 3, pp. 407-431, 1990 DOI: https://doi.org/10.1680/iicep.1990.9399
C. V. Vallabhan, Y. C. Das, “Analysis of circular tank foundations”, Journal of Engineering Mechanics,Vol. 117, No. 4, pp. 789-797, 1991 DOI: https://doi.org/10.1061/(ASCE)0733-9399(1991)117:4(789)
I. M. Smith, “A finite element approach to elastic soil-structure interaction”, Canadian Geotechnical Journal, Vol. 7, No. 2, pp. 95-105, 1970 DOI: https://doi.org/10.1139/t70-011
L. Auersch, “Dynamic plate-soil interaction-finite and infinite, flexible and rigid plates on homogeneous, layered or Winkler soil”, Soil Dynamics and Earthquake Engineering, Vol. 15, No. 1, pp. 51-59, 1996 DOI: https://doi.org/10.1016/0267-7261(95)00021-6
L. Sadecka, “Finite/infinite element analysis of thick plate on a layered foundation”, Computers and Structures, Vol. 76, No. 5, pp. 603-610, 2000 DOI: https://doi.org/10.1016/S0045-7949(99)00180-7
S. P. Timosenko, J. N. Dudier, Theory of Elasticity, Mcgraw Hill Education, 1962
J. C. Ezeh, O. M. Ibearugbulem, C. I. Onyechere, “Pure bending analysis of thin rectangular flat plates using ordinary finite difference method”, International Journal of Emerging Technology and Advanced Engineering, Vol. 3, No. 3, pp. 20-23, 2013
J. S. Horvath, Soil-Structure Interaction Research Project, Manhattan College, 2011
E. Winkler, Die Lehre Von Elastizitat und festigkeit, Dominicius, 1867
P. L. Pasternak, “On a new method of analysis of an elastic foundation by means of two foundation constants”, Gosudarstvennoe Izdatelstvo Literaturi po Stroitelstvu I Arkhitekture, Moscow, 1954
M. Hetenyi, Beams on Elastic Foundation, The University of Michigan Press, 1946
S. Timoshenko, S. Woinowsky-Krieger, Theory of Plates and Shells, McGraw-Hill, 1959
J. N. Reddy, Theory and Analysis of Elastic Plates and Shells, CRC Press, 2006 DOI: https://doi.org/10.1201/9780849384165
Downloads
How to Cite
License
Authors who publish with this journal agree to the following terms:
- Authors retain the copyright and grant the journal the right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) after its publication in ETASR with an acknowledgement of its initial publication in this journal.
