Summary
Some aspects of the dynamics of the bow and arrow have been considered. The governing equations are derived by means of Hamilton's principle. The resulting non-linear initial-boundary-value problem is solved numerically by use of a finite-difference method. The influence of the characteristic quantities on the performance of a bow is discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
C. N. Hickman, F. Nagler, P. E. Klopsteg, Archery: The technical side, National Field Archery Association, 1947.
S. R. Woodall, On the large amplitude oscillations of a thin elastic beam, Int. J. Non-Linear Mechanics 1 (1966) 217–238.
H. Wagner, Large-amplitude free vibrations of a beam, J. of Applied Mechanics 32 (1965) 887–892.
M. K. Verma, A. V. Krishna Murthy, Non-linear vibrations of non-uniform beams with concentrated masses, J. of Sound and Vibrations 33 (1974) 1–12.
R. Schmidt, D. A. Da Deppo, Variational formulation of non-linear equations for straight elastic beams, J. of Industrial Mathematics Society 23 (1973) 117–136.
B. W. Kooi, J. A. Sparenberg, On the static deformation of a bow, J. of Engineering Mathematics 14 (1980) 27–45.
R. D. Richtmeyer, K. W. Morton, Difference methods for initial-value problems, New York 1967.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kooi, B.W. On the mechanics of the bow and arrow. J Eng Math 15, 119–145 (1981). https://doi.org/10.1007/BF00052515
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00052515