On direct and inverse problems related to longitudinal impact of non-uniform elastic rods

• Format: eBook
• Language: English
• Published: Karlsruhe KIT Scientific Publishing 2021
• Series: Schriftenreihe des Instituts für Technische Mechanik, Karlsruher Institut für Technologie
• Subjects: Mechanical engineering & materials; Characteristic impedance; Charakteristische Impedanz; Impact force; Inverse recursive algorithm; Inverser rekursiver Algorithmus; Stoßkraft; Wave propagation in non-uniform elastic rods; Wellenausbreitung in elastischen Stäben
• Online Access: Open Access: DOAB: description of the publication; Open Access: DOAB, download the publication
• Physical Description: 1 online resource (124 p.)
• ISBN: 9783731510871; KSP/1000129237
• Access: Open Access

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.