The stress-function equation in polar co-ordinates for thin rotating discs made of orthotropic material is generalized by assuming that the variation of thickness is radial. In order to make this equation tractable, the thickness function is assumed to be hyperbolic. The resulting governing differential equation is solved in a closed from by use of the Fourier transform technique. As a numerical example, the solution is given for annular discs. Curves are included which show the effect of anisotropy and variation of thickness on the stresses and displacements. Some limiting cases are also considered.
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References
1.
LekhintskiiS. G.Anisotropic plates1968146–149 (Gordon and Breach, New York).
2.
CalcoteL. R.The analysis of laminated composite structures19699–13 (Van Nostrand Reinhold Co., New York and London).
3.
LehintskiiS. G.Theory of elasticity of an anisotropic elastic body196341–42 (Holden-Day Inc., San Francisco).
4.
SneddonI. H.The use of integral transforms1972 (McGraw-Hill Book Co. Inc., New York and London).
5.
PandonanJ.LestingiJ.‘Static solution of monoclinic circular plates’, A.I.A.A. Jl19712, 2473–74.
6.
VenkataramanB.PatelS. A.Structural mechanics with introductions to elasticity and plasticity19701–105 (McGraw-Hill Book Co. Inc., New York and London).
