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将轴对称圆柱的精化分析推广到一维六方准晶中轴对称圆柱的研究当中.利用准调和函数的Bessel算子函数表示以及一维六方准晶中的通解,在不做任何预先假设的情况下,给出了一维六方准晶中轴对称圆柱的精化理论.首先,根据准调和函数的Bessel算子函数表示,利用三个一维待定函数,表示出声子场和相位子场的位移场和应力分量.再根据非齐次边界条件,推导出柱面受径向外载时的精化方程.通过舍弃高阶项,推导出了在径向方向受到柱面载荷的近似解.
The refined analysis of axisymmetric cylinders is extended to the study of one-dimensional hexagonal quasi- crystal axisymmetric cylinders.Using the Bessel operator function of quasi-harmonic function and the general solution of one-dimensional hexagonal quasi- , The theory of refinement of a one-dimensional hexagonal quasicrystal axisymmetric cylinder is given.Firstly, according to Bessel operator function of quasi-harmonic function, three one-dimensional undetermined functions are used to show the phonon field and phase sub-field The displacement field and the stress component are deduced.The refined equation of the cylinder subjected to radial outward loading is deduced according to the nonhomogeneous boundary conditions.The approximate solution of the cylinder load in the radial direction is deduced by abandoning the higher order term .