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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.

Mechanical engineering & materials --- Stoßkraft --- Charakteristische Impedanz --- Wellenausbreitung in elastischen Stäben --- Inverser rekursiver Algorithmus --- Impact force --- Characteristic impedance --- Wave propagation in non-uniform elastic rods --- Inverse recursive algorithm