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Abstract The refined theory of axisymmetric cylinder was extended to axisymmetric cylinder in one-dimensional (1D) hexagonal quasicrystals (QCs). The refined theory of axisymmetric cylinder is derived without ad hoc assumptions,which yields Bessel’s function and the general solution of 1D hexagonal QCs. First, According to the Bessel’s function , we can get the expressions of all the phonon and phason displacements and stress components by the three functions with single independent variable. Based on the nonhomogeneous boundary conditions, the refined equation for the cylinder is derived directly. And we can get the approximate solutions which burdened by a circular cylinder under radial direction surface through dropping terms of high order.
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Received: 20 December 2012
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2013, Vol. 34 
