Comparative Analysis of Different Analytic and Recursive Forward and Inverse Dynamic Formulations of Multibody Systems

dc.contributor.advisorZhakatayev, Altay
dc.contributor.advisorSizov, Dmitry
dc.contributor.authorSholpanbekov, Alizhan
dc.date.accessioned2026-06-15T03:40:13Z
dc.date.issued2026-05-08
dc.description.abstractAnalysis of multibody system dynamics (MBSD) is the topic that is relevant in almost all areas of mechanical engineering. Since the inception of the first formulation of the approach to solving MBSD in the 1960s, this field has been continuously developing. However, there is a lack of research on the topic of comparative analysis of the developed approaches. This paper considers the three main formulations and compares their effectiveness in analyzing the MBSD. The literature review is conducted to consider the conventional and novel approaches of the considered formulations. In order to implement the comparison of the formulations, the code will be developed using the Python programming language according to the algorithms and formulas discussed in the literature review. The developed framework will be accessible to generalized users and provide different multibody system dynamics formulations.
dc.identifier.citationSholpanbekov, A. (2026). Comparative analysis of different analytic and recursive forward and inverse dynamic formulations of multibody systems. Nazarbayev University School of Engineering and Digital Sciences
dc.identifier.urihttps://nur.nu.edu.kz/handle/123456789/19197
dc.publisherNazarbayev University School of Engineering and Digital Sciences
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United Statesen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/
dc.subjectDynamic Formulations
dc.subjectmultibody systems
dc.subjectmultibody system dynamics
dc.subjectNewton-Euler formulation
dc.subjectLagrange-Euler formulation
dc.subjectFeatherstone's notation
dc.subjectrecursive and inverse dynamic formulations
dc.titleComparative Analysis of Different Analytic and Recursive Forward and Inverse Dynamic Formulations of Multibody Systems
dc.typeMaster`s thesis

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Analysis of multibody system dynamics (MBSD) is the topic that is relevant in almost all areas of mechanical engineering. Since the inception of the first formulation of the approach to solving MBSD in the 1960s, this field has been continuously developing. However, there is a lack of research on the topic of comparative analysis of the developed approaches. This paper considers the three main formulations and compares their effectiveness in analyzing the MBSD. The literature review is conducted to consider the conventional and novel approaches of the considered formulations. In order to implement the comparison of the formulations, the code will be developed using the Python programming language according to the algorithms and formulas discussed in the literature review. The developed framework will be accessible to generalized users and provide different multibody system dynamics formulations.
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