Academic Journal
Hamiltonisation, measure preservation and first integrals of the multi-dimensional rubber routh sphere
| العنوان: | Hamiltonisation, measure preservation and first integrals of the multi-dimensional rubber routh sphere |
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| المؤلفون: | Garcia-Naranjo L. C. |
| المساهمون: | Garcia-Naranjo, L. C. |
| بيانات النشر: | Serbian Society of Mechanics |
| سنة النشر: | 2019 |
| المجموعة: | Padua Research Archive (IRIS - Università degli Studi di Padova) |
| مصطلحات موضوعية: | Chaplygin system, Hamiltonisation, Multi-dimensional rigid body dynamic, Nonholonomic system, Symmetries and reduction |
| الوصف: | We consider the multi-dimensional generalisation of the problem of a sphere, with axi-symmetric mass distribution, that rolls without slipping or spinning over a plane. Using recent results from García-Naranjo [21] and García-Naranjo and Marrero [22], we show that the reduced equations of motion possess an invariant measure and may be represented in Hamiltonian form by Chaplygin's reducing multiplier method. We also prove a general result on the existence of first integrals for certain Hamiltonisable Chaplygin systems with internal symmetries that is used to determine conserved quantities of the problem. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | STAMPA |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/wos/WOS:000474911600004; volume:46; issue:1; firstpage:65; lastpage:88; numberofpages:24; journal:THEORETICAL AND APPLIED MECHANICS; http://hdl.handle.net/11577/3371744; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85067273678 |
| DOI: | 10.2298/TAM190130004G |
| الاتاحة: | http://hdl.handle.net/11577/3371744 https://doi.org/10.2298/TAM190130004G |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.E95567FC |
| قاعدة البيانات: | BASE |
| DOI: | 10.2298/TAM190130004G |
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