BRACHISTOCHRONIC MOTION OF A NONLINEAR NONHOLONOMIC MECHANICAL SYSTEM MODEL
Abstract
The paper analyzes the brachistochronic motion of a nonlinear nonholonomic mechanical system [1] in a horizontal plane, between two specified positions. Differential equations of motion are created based on the general theorems of dynamics. The formulated brachistochrone problem is solved applying the variational calculus. The two-point boundary value problem (TPBVP) of the system of nonlinear differential equations is solved by the shooting method. Special attention is directed to the realization of thus obtained brachistochronic motion.
Keywords:
Brachistochronic motion / nonholonomic system / nonlinear constraint / variational calculusSource:
5th International Congress of Serbian Society of Mechanics, Aranđelovac 15–17.06.2015, 2015Funding / projects:
- Dynamics of hybrid systems with complex structures. Mechanics of materials. (RS-MESTD-Basic Research (BR or ON)-174001)
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Institution/Community
Mašinski fakultetTY - CONF AU - Radulović, Radoslav AU - Zeković, Dragomir AU - Pavišić, Mirko PY - 2015 UR - https://machinery.mas.bg.ac.rs/handle/123456789/5166 AB - The paper analyzes the brachistochronic motion of a nonlinear nonholonomic mechanical system [1] in a horizontal plane, between two specified positions. Differential equations of motion are created based on the general theorems of dynamics. The formulated brachistochrone problem is solved applying the variational calculus. The two-point boundary value problem (TPBVP) of the system of nonlinear differential equations is solved by the shooting method. Special attention is directed to the realization of thus obtained brachistochronic motion. C3 - 5th International Congress of Serbian Society of Mechanics, Aranđelovac 15–17.06.2015 T1 - BRACHISTOCHRONIC MOTION OF A NONLINEAR NONHOLONOMIC MECHANICAL SYSTEM MODEL UR - https://hdl.handle.net/21.15107/rcub_machinery_5166 ER -
@conference{ author = "Radulović, Radoslav and Zeković, Dragomir and Pavišić, Mirko", year = "2015", abstract = "The paper analyzes the brachistochronic motion of a nonlinear nonholonomic mechanical system [1] in a horizontal plane, between two specified positions. Differential equations of motion are created based on the general theorems of dynamics. The formulated brachistochrone problem is solved applying the variational calculus. The two-point boundary value problem (TPBVP) of the system of nonlinear differential equations is solved by the shooting method. Special attention is directed to the realization of thus obtained brachistochronic motion.", journal = "5th International Congress of Serbian Society of Mechanics, Aranđelovac 15–17.06.2015", title = "BRACHISTOCHRONIC MOTION OF A NONLINEAR NONHOLONOMIC MECHANICAL SYSTEM MODEL", url = "https://hdl.handle.net/21.15107/rcub_machinery_5166" }
Radulović, R., Zeković, D.,& Pavišić, M.. (2015). BRACHISTOCHRONIC MOTION OF A NONLINEAR NONHOLONOMIC MECHANICAL SYSTEM MODEL. in 5th International Congress of Serbian Society of Mechanics, Aranđelovac 15–17.06.2015. https://hdl.handle.net/21.15107/rcub_machinery_5166
Radulović R, Zeković D, Pavišić M. BRACHISTOCHRONIC MOTION OF A NONLINEAR NONHOLONOMIC MECHANICAL SYSTEM MODEL. in 5th International Congress of Serbian Society of Mechanics, Aranđelovac 15–17.06.2015. 2015;. https://hdl.handle.net/21.15107/rcub_machinery_5166 .
Radulović, Radoslav, Zeković, Dragomir, Pavišić, Mirko, "BRACHISTOCHRONIC MOTION OF A NONLINEAR NONHOLONOMIC MECHANICAL SYSTEM MODEL" in 5th International Congress of Serbian Society of Mechanics, Aranđelovac 15–17.06.2015 (2015), https://hdl.handle.net/21.15107/rcub_machinery_5166 .