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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| Materialtyp: | Online |
| Språk: | engelska |
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KIT Scientific Publishing
2021
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| Länkar: | ONIX_20210527_9783731510871_32 |
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| _version_ | 1869530636899844096 |
|---|---|
| author | Burgert, Jens |
| author_browse | Burgert, Jens |
| author_facet | Burgert, Jens |
| author_sort | Burgert, Jens |
| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-70111 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | KIT Scientific Publishing |
| publisherStr | KIT Scientific Publishing |
| record_format | ojs |
| spelling | doab-20.500.12854ir-701112025-08-13T14:11:02Z On direct and inverse problems related to longitudinal impact of non-uniform elastic rods Burgert, Jens 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 thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials 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. 2021-05-28T02:11:38Z 2021-05-28T02:11:38Z 2021-05-27T09:28:30Z 2021 book ONIX_20210527_9783731510871_32 OCN: 1258402245 1614-3914 https://library.oapen.org/handle/20.500.12657/48835 9783731510871 https://directory.doabooks.org/handle/20.500.12854/70111 eng Schriftenreihe des Instituts für Technische Mechanik, Karlsruher Institut für Technologie open access image/jpeg image/jpeg image/jpeg image/jpeg n/a n/a n/a n/a 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 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 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 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 KIT Scientific Publishing 10.5445/KSP/1000129237 10.5445/KSP/1000129237 68fffc18-8f7b-44fa-ac7e-0b7d7d979bd2 9783731510871 AG Universitätsverlage 124 Karlsruhe open access |
| spellingShingle | 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 thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials Burgert, Jens On direct and inverse problems related to longitudinal impact of non-uniform elastic rods |
| title | On direct and inverse problems related to longitudinal impact of non-uniform elastic rods |
| title_full | On direct and inverse problems related to longitudinal impact of non-uniform elastic rods |
| title_fullStr | On direct and inverse problems related to longitudinal impact of non-uniform elastic rods |
| title_full_unstemmed | On direct and inverse problems related to longitudinal impact of non-uniform elastic rods |
| title_short | On direct and inverse problems related to longitudinal impact of non-uniform elastic rods |
| title_sort | on direct and inverse problems related to longitudinal impact of non uniform elastic rods |
| topic | 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 thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials |
| topic_facet | 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 thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials |
| url | ONIX_20210527_9783731510871_32 |
| work_keys_str_mv | AT burgertjens ondirectandinverseproblemsrelatedtolongitudinalimpactofnonuniformelasticrods |