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

Burgert, Jens

doi:10.5445/KSP/1000129237

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https://library.oapen.org/bitstream/20.500.12657/48835/1/on-direct-and-inverse-problems-related-to-longitudinal-impact-of-non-uniform-elastic-rods.pdf
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https://library.oapen.org/bitstream/20.500.12657/48835/1/on-direct-and-inverse-problems-related-to-longitudinal-impact-of-non-uniform-elastic-rods.pdf
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https://library.oapen.org/bitstream/20.500.12657/48835/1/on-direct-and-inverse-problems-related-to-longitudinal-impact-of-non-uniform-elastic-rods.pdf

Author(s)

Burgert, Jens

Collection

AG Universitätsverlage

Language

English

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Abstract

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.

URI

https://directory.doabooks.org/handle/20.500.12854/70111

Keywords

Stoßkraft; Charakteristische Impedanz; Wellenausbreitung in elastischen Stäben; Inverser rekursiver Algorithmus; Impact force; Characteristic impedance; Wave propagation in non-uniform elastic rods; Inverse recursive algorithm; thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials