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Solution for a Rectangular Plate on Elastic Foundation with Free Edges Using Reciprocal Theorem Method

Journal Name:

  • Mathematica Æterna

Publication Year:

  • 2012

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
In this paper, the reciprocal theorem method is used to obtain the theoretical solutions for a rectangular plate supported on the elastic foundation with free edges, which have widespread applications in the designs of civil engineering such as highway and airport pavement. Numerical examples are presented at the end to compare the results obtained by this method and those from conventional methods
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  • 1
335-343
  • English

REFERENCES

References: 

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Edges or with Three Clamped Edges Applied Mathematics and
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[2] Daniel J. Gorman Vibration Analysis of Plates by the Superposition Method
World Scientific Publishing Co. Pte. Ltd. 1999.
[3] Daniel J. Gorman Free Vibration Analysis of Rectangular Plate New
York : Elsevier North Holland 1982.
[4] Ling Xing Fu and Qu Qing Zhang General Exact Solution of Orthotrpic
Rectangular Plate with Four Free Edges Rested on Elastic Foundation J. of
Structure China (in Chinese) Vol. 20, No. 4 pp. 53-57 1997.
[5] Kerr A.D. Elastic and Viscoelastic Foundation Models J. Appl. Mech.
1964 Vol. 31 pp. 491-498.
[6] Resssner E. On Bending of Elastic Plate Q.App.Math. 1947: 5, pp55-68.
[7] Qu Qing Zhang Theory of Elastic Plate Transportation Press China
2000.
[8] Selvadurai APS Elastic Analysis of Soil- Structure Interaction New York:
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