Abstract
The problem of the impact of a point mass on the end of an elastic straight rod which is clamped at the other end, can be studied with the aid of a Concavity Method.
The motion of the system is described by the behaviour of a positive function on the solution.
This technique can be extended to more complicate cases, for instance to the case in which the material of the rod is non-linear elastic or viscoelastic.
Zusammenfassung
Das problem des Stosses einer Punktmasse auf das eine Ende eines elastischen geraden Stabes, an dem anderen Ende eingespannt ist, kann mit Hilfe einer Konkavitäts-Methode untersucht werden.
Die Bewegung des Systems wird beschrieben durch das Verhalten einer positiven Funktion auf der Lösung.
Diese Technik lässt sich auf kompliziertere Fälle übertragen, z.B. wenn das Material, aus dem der Stab besteht, nicht linear-elastisch oder visko-elastisch ist.
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Villaggio, P. Concavity techniques with application to shock problems. J Elasticity 9, 29–41 (1979). https://doi.org/10.1007/BF00040978
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DOI: https://doi.org/10.1007/BF00040978