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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. M...

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Main Author: Burgert, Jens
Format: Online
Language:English
Published: KIT Scientific Publishing 2021
Subjects:
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
bic Book Industry Communication::T Technology, engineering, agriculture::TG Mechanical engineering & materials
Online Access:ONIX_20210527_9783731510871_32
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Summary: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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