The impact of two non-uniform elastic rods is considered and a recursive method was developed that solves the inverse problem: Find the location-dependent impedance function of the impacting rod that generates a prescribed impact force. The developed method delivers exact solutions in closed-form. Moreover, a condition is derived which states if a physically meaningful solution exists. Finally, the underlying 1D model has been validated experimentally.
Jens Burgert
Stoßkraft Charakteristische Impedanz Wellenausbreitung in elastischen Stäben Inverser rekursiver Algorithmus Impact force Characteristic impedance Wave propagation in non-uniform elastic rods Inverse recursive algorithm