The plate equations

  • B. E. Gatewood
Part of the Mechanics of Structural Systems book series (MSSY, volume 6-7)

Abstract

Up to this point the analysis and design methods have been restricted to one-dimensional beams, trusses, box-beams, and simple membrane structures. As can be seen in Section 1.6 (Vol.1), the two dimensional problems for thin plates and long cylinders are more complicated than the one dimensional cases, and involve fourth order partial differential equations. Although series solutions of these equations are given in Reference 1 for various plates, there are many plate problems for which approximate methods with assumed functions must be used. Since it is necessary to use approximate methods for most two dimensional plate problems in flight vehicle structures, either for large plates or for plate finite elements, the discussion in this chapter is devoted primarily to using the virtual principles to obtain approximate solutions for plates.

Keywords

Rectangular Plate Finite Element Solution Virtual Displacement Displacement Boundary Condition Plate Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    S. Timoshenko and G. Woinowsky-Krieger: Theory of Plates and Shells, McGraw-Hill Book Co. (1959).Google Scholar
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References for additional reading

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Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • B. E. Gatewood
    • 1
  1. 1.Dept. of Aeronautical and Astronautical EngineeringThe Ohio State UniversityColumbusUSA

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