Flexural vibrations of non-uniform cantilever beams observed in experimental investigations on the dynamics of fleuret, épée and sabre

Abstract

Numerical and experimental investigations of non-uniform beams under static as well as under dynamic loads are required in many engineering applications. However, this topic is also relevant in sports. In particular the mechanical model of a non-uniform cantilever beam could be useful to analyze the dynamical behavior of the blades used for the weapons of the Olympic fencing competitions. These sporting arms are known as fleuret, épée and sabre. They can be compared in weight and length, but differ significantly in the design of the individual cross-section. However, especially excellent athletes such as Alexander Anatoljewitsch Romankow, Philippe Riboud or Anja Fichtel are able to perform fencing on a high level even if they have to use a weapon that differs from the favorite one. For this reason it is interesting to compare basic dynamic properties of these special sport equipment. Therefore, this paper presents novel results that describe the dynamics of fleuret, épée and sabre using the results of simple experiments. It is (only) aimed (i) to highlight basic phenomena, (ii) to compare the results, and (iii) to reflect the findings with the (non-professional) experience of the author in practicing his sport as athlete and coach.