Abstract
Vibration processes in the compound and open kinematical chain with an external link, as a model of an archery bow and arrow system, are evaluated. A mechanical and mathematical model of bend oscillations of the system during accelerate motion of the external link is proposed. Correlation between longitudinal acceleration and natural frequencies is obtained. There are recommendations regarding determination of virtual forms to study arrow vibrations and buckling. The models and methods have been adapted for realization into the engineering method using well-known mathematical software packages.
Highlights
The sports which are played with mechanical devices represent a large proportion of both human competitive and recreational activity
A period of bow and arrow vibration according to this form, which is in good agreement with the video footage, is (see notes to Eq (14)): T
Bow and arrow common motion is characterized by intensive dynamic processes, i.e. impulse buckle instability and bend vibrations
Summary
The sports which are played with mechanical devices represent a large proportion of both human competitive and recreational activity. Sport archery is a good model for the study of the mechanical processes in the ’Man and Device’ system [14]. A typical bow is set-up so that anyone can shoot it reasonably well; it will not perform optimally for each individual archer. Vertical adjustment can be defined, as providing an optimal combination of bow parameters to obtain a zero angle of attack of an arrow. It is a significant part of preparation for shooting, which an archer has to manage with a bow. Higher velocity results in better conditions for good sport performance, because any angle of attack causes the arrow to wobble in the vertical plane [15]. The aim of this research is to model and study vibration processes and instability in the bow and arrow system
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