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

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

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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.

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Keywords

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

Links

DOI: 10.5445/KSP/1000129237

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