Response of a mass-spring system subject to Coulomb damping and harmonic base excitation
The periodic response of a mass-spring system is studied and the behaviour described, including the creation of finite dwell periods. A parameter space investigation is conducted and a branch of behaviour with the space is explained. A new solution method is proposed for direct calculation of the st...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Elsevier
2020
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| _version_ | 1826264779955634176 |
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| author | Riddoch, DJ Cicirello, A Hills, DA |
| author_facet | Riddoch, DJ Cicirello, A Hills, DA |
| author_sort | Riddoch, DJ |
| collection | OXFORD |
| description | The periodic response of a mass-spring system is studied and the behaviour described, including the creation of finite dwell periods. A parameter space investigation is conducted and a branch of behaviour with the space is explained. A new solution method is proposed for direct calculation of the steady-state response without calculating a transient phase. A new approach to the display of the steady-state response is given. Finally, the system behaviour near its resonance is explored and new asymptotic solutions are proposed for the response amplitude near resonance. The accuracy of these solutions is then determined by comparison to the true solution. |
| first_indexed | 2024-03-06T20:13:20Z |
| format | Journal article |
| id | oxford-uuid:2b545d66-d082-4157-90d4-76b893573221 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:13:20Z |
| publishDate | 2020 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:2b545d66-d082-4157-90d4-76b8935732212022-03-26T12:30:14ZResponse of a mass-spring system subject to Coulomb damping and harmonic base excitationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2b545d66-d082-4157-90d4-76b893573221EnglishSymplectic ElementsElsevier2020Riddoch, DJCicirello, AHills, DAThe periodic response of a mass-spring system is studied and the behaviour described, including the creation of finite dwell periods. A parameter space investigation is conducted and a branch of behaviour with the space is explained. A new solution method is proposed for direct calculation of the steady-state response without calculating a transient phase. A new approach to the display of the steady-state response is given. Finally, the system behaviour near its resonance is explored and new asymptotic solutions are proposed for the response amplitude near resonance. The accuracy of these solutions is then determined by comparison to the true solution. |
| spellingShingle | Riddoch, DJ Cicirello, A Hills, DA Response of a mass-spring system subject to Coulomb damping and harmonic base excitation |
| title | Response of a mass-spring system subject to Coulomb damping and harmonic base excitation |
| title_full | Response of a mass-spring system subject to Coulomb damping and harmonic base excitation |
| title_fullStr | Response of a mass-spring system subject to Coulomb damping and harmonic base excitation |
| title_full_unstemmed | Response of a mass-spring system subject to Coulomb damping and harmonic base excitation |
| title_short | Response of a mass-spring system subject to Coulomb damping and harmonic base excitation |
| title_sort | response of a mass spring system subject to coulomb damping and harmonic base excitation |
| work_keys_str_mv | AT riddochdj responseofamassspringsystemsubjecttocoulombdampingandharmonicbaseexcitation AT cicirelloa responseofamassspringsystemsubjecttocoulombdampingandharmonicbaseexcitation AT hillsda responseofamassspringsystemsubjecttocoulombdampingandharmonicbaseexcitation |