Abstract: In order to increase the radial strength of the composite flywheel,a kind of annular fabric in which yarns exist in the radial direction was designed in accordance with the unfolding shape of flywheel.The warp yarns are in the circular direction and weft yarns in the radial direction.The shear deformation between warp and weft yarns was analyzed in the weaving process.The shear angle gradually increases during the fabric moving from the fell to the take-up and shaping roller's holding position on the loom.The existence of shear deformation makes the maximum and minimum radii of the annular fabric on the loom are smaller than those of designed,but the warp yarn density becomes greater.The deduced relationship between the size of fabric on the loom and designed fabric size can be used to instruct annular fabric design.A kind of carbon fiber annular fabric was woven and the designed structure was obtained after shear deformation in the opposite direction when the fabric was off the loom.