The plate equations
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.
KeywordsRectangular Plate Finite Element Solution Virtual Displacement Displacement Boundary Condition Plate Equation
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