Functionally graded materials have shown better mechanical behavior in multilayered structures, which have attracted much attention. A three-dimensional exact elastic solution for layered cylindrical shells made of functionally graded one-dimensional orthorhombic quasicrystals is carried out in this paper. The two edges of the cylindrical shells are simply supported, and functionally graded materials of the cylindrical shells are assumed to obey a power law along the radial direction. The exact solution for a single-layer functionally graded one-dimensional quasicrystal cylindrical shell is derived in terms of the pseudo-Stroh formalism. After introduction of the propagator matrix method, the exact solution for the corresponding layered case is obtained. Comprehensive numerical investigation, encompassing different exponential factors, different inner surface boundary conditions as well as different stacking sequences, has been conducted.
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