dc.creator | Jeremić, Bojan | |
dc.creator | Radulović, Radoslav | |
dc.creator | Obradović, Aleksandar | |
dc.date.accessioned | 2023-01-24T07:05:42Z | |
dc.date.available | 2023-01-24T07:05:42Z | |
dc.date.issued | 2019 | |
dc.identifier.isbn | 978-86-909973-7-4 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/4033 | |
dc.description.abstract | The paper considers realization of the brachistochronic motion of a mechanical system,
composed of free body and variable mass material points, by means of an ideal constraint in the
form of the centrodes. It is assumed that the system performs planar motion in an arbitrary field
of forces and that it has three degrees of freedom. In addition, the laws of the time-rate of mass
variation of the material points, as well as relative velocities of the expelled particles,
respectively, are known. Constraint reactions of the centrodes are expressed in the function of the
generalized forces. Applying Pontryagin's maximum principle and singular optimal control
theory, the problem of brachistochronic motion is solved as a two-point boundary value problem
(TPBVP). The considerations are illustrated via an example, where it is examined how the change
in the initial energy of the system affects the normal reaction of the connection and thus the
coefficient of rolling friction. | sr |
dc.language.iso | en | sr |
dc.publisher | Srpsko društvo za mehaniku | sr |
dc.relation | info:eu-repo/grantAgreement/MESTD/Technological Development (TD or TR)/35006/RS// | sr |
dc.relation | info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174001/RS// | sr |
dc.rights | openAccess | sr |
dc.rights.uri | https://creativecommons.org/share-your-work/public-domain/cc0/ | |
dc.source | Proceeding of 7th International Congress of Serbian Society of Mechanics Sremski Karlovci, Serbia, June 24-26, 2019 | sr |
dc.subject | brachistochrone | sr |
dc.subject | variable mass | sr |
dc.subject | mechanical system | sr |
dc.subject | Pontryagin’s maximum principle | sr |
dc.subject | optimal control | sr |
dc.title | Realizing brachistohronic motion of a variable mass body by centrodes | sr |
dc.type | conferenceObject | sr |
dc.rights.license | CC0 | sr |
dc.citation.rank | M33 | |
dc.citation.spage | G3a | |
dc.identifier.fulltext | http://machinery.mas.bg.ac.rs/bitstream/id/9367/bitstream_9367.pdf | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_machinery_4033 | |
dc.type.version | publishedVersion | sr |