A mathematical model is proposed to describe the buckling deformation of a fabric cylinder in axial compression. The buckling characteristics of lobes are observed in detail. The deformed surface of a woven fabric in a lobe is complex and different from that of the Yoshimura buckle pattern, and it can be represented by two groups of contour hyperbolas, which can be determined by boundary conditions for any lobe ratio. The mathematical model is simulated and its suitability discussed. The buckling pattern with specified lobe ratio can be predicted, and many characteristics of the buckling pattern are understood with the use of three-dimensional graphics.
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