On direct and inverse problems related to longitudinal impact of non-uniform elastic rods
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.
KeywordsStoßkraft; Charakteristische Impedanz; Wellenausbreitung in elastischen Stäben; Inverser rekursiver Algorithmus; Impact force; Characteristic impedance; Wave propagation in non-uniform elastic rods; Inverse recursive algorithm
PublisherKIT Scientific Publishing
Publication date and placeKarlsruhe, 2021
SeriesSchriftenreihe des Instituts für Technische Mechanik, Karlsruher Institut für Technologie, 36
Mechanical engineering & materials