Transient behavior of flexible structures, application to badminton rackets

摘要

The article concerns the planar dynamic behavior of flexible structures subjected to a rotation law. The developed nonlinear model takes into account the softening and the stress stiffening effects and is based on the finite element method associated with a dynamic condensation technique and with the modal reduction in order to include in particular the modal damping. Two examples from the literature permit in testing the model. The experimental investigation is carried out on a rod-mass system. The motion of this system subjected to a driven torque of a brushless motor is recorded using a digital high speed camera. The comparison of the predicted and measured response is very satisfactory and permits the validation of the model. Finally, the model is applied to three different kinds of existing badminton rackets. The rotation law introduced in the model comes from the record of the player's wrist motion. The comparison of the three predicted racket deflexions confirm the performance claimed by the manufacturer.