In archery, dynamic buckling during the launch phase compromises the targetaccuracy of arrows. For both dynamic and quasi-static arrow buckling, the critical loaddepends upon the area moment of inertia of the cross-section which should beincreased at constant arrow weight, by redistributing the material as far away from theprincipal point of the cross-section as possible, and while keeping the material thickenough to prevent local buckling.In this paper we present an effort to optimize the cross-sectional shape of acomposite arrow shaft, using a finite element based, quasi static buckling analysiskeeping the length and area of the cross-section constant. The composite columnconsidered is assumed pinned at both ends and is assumed made with fibers orientedalong the length of the column. Four cross-sectional shapes, tubular circular, tubularequilateral triangular, star shaped and star with beads are analyzed in this study. Thecomposite column is modeled in ABAQUS, and the buckling load is determined byusing the “Linear Perturbation, Buckle” analysis. The transition from global to localbuckling characterized by a decrease in bucking load and change in the buckled shapeof the column is determined for each cross-sectional shape. The point of transitionmarks the maximum load that can be sustained for that cross-sectional shape. Themaximum load for all the cross-sections is determined and compared. The tubularcircular cross-section composite column is found to provide the highest buckling loadfollowed by the star with bead cross-section, star shaped cross-section and tubularequilateral triangular cross-section composite column in the respective order. Thus, ofthe shapes considered, the tubular circular cross-section is the optimum shape for thecross-section of the arrow shaft.
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