Abstract

A model of the archery round-wheel compound bow with a more realistic limb deformation is introduced. The model is based on the former compound bow model of the author with the supposition that the elastic limb deformation is consistent with the Euler–Bernoulli equation. The Young’s modulus of an example bow limb is determined. The model is compared to the experimental data and to the former model which uses the modified Hickman approximation for the bow limbs. The effects of the shape of the limb on the force-draw curve of the compound bow are also considered. The model presented here may be used when designing or adjusting the limbs of the compound bow. An approximation for the path of the limb tip for the straight limb of uniform bending stiffness for small deformations is also derived.

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