Use of Maclaurin Geometric Transformations in 3D Synthesis of Mechanisms
Само за регистроване кориснике
2020
Конференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
This paper describes and explains MacLaurin’s transformations and their use in a 3D synthesis of
mechanisms. An overview of the high order curves is provided, along with their degradation to the curves
of the lower order. MacLaurin’s transcriptions are used to degrade the curves of the higher order to the
desired curves of the lower order. This will allow us to generate different kinds of trajectories and,
therefore, different kind of mechanisms. Furthermore, the implementation of the obtained curves into the
CAD pragmas and 3D environment is presented. This allows a quick synthesis of a mechanism, its
adaptation and simulation in order to get the desired final trajectories. Different kinds of trajectories
implemented in a 3D environment are shown in this paper. Fully operational 3D models of mechanism
trajectories and simulation are created and documented in the SolidWorks application.
This research could be used further in the theory of mechanisms, 3D modelling, simulations ...and the
synthesis of mechanisms. The exposed methods of the synthesis of mechanisms may be used in the design
and construction of new mechanisms or the redesign of the existing mechanisms.
Кључне речи:
computer graphics / 3D modelling / mechanism synthesis / MacLaurins’s transformationsИзвор:
The 7th International Scientific Conference on Geometry and Graphics moNGeomatrija2020, 2020, 579-589Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Rusov, Marko AU - Kosić, Boris AU - Berdić, Dušan PY - 2020 UR - https://machinery.mas.bg.ac.rs/handle/123456789/5611 AB - This paper describes and explains MacLaurin’s transformations and their use in a 3D synthesis of mechanisms. An overview of the high order curves is provided, along with their degradation to the curves of the lower order. MacLaurin’s transcriptions are used to degrade the curves of the higher order to the desired curves of the lower order. This will allow us to generate different kinds of trajectories and, therefore, different kind of mechanisms. Furthermore, the implementation of the obtained curves into the CAD pragmas and 3D environment is presented. This allows a quick synthesis of a mechanism, its adaptation and simulation in order to get the desired final trajectories. Different kinds of trajectories implemented in a 3D environment are shown in this paper. Fully operational 3D models of mechanism trajectories and simulation are created and documented in the SolidWorks application. This research could be used further in the theory of mechanisms, 3D modelling, simulations and the synthesis of mechanisms. The exposed methods of the synthesis of mechanisms may be used in the design and construction of new mechanisms or the redesign of the existing mechanisms. C3 - The 7th International Scientific Conference on Geometry and Graphics moNGeomatrija2020 T1 - Use of Maclaurin Geometric Transformations in 3D Synthesis of Mechanisms EP - 589 SP - 579 UR - https://hdl.handle.net/21.15107/rcub_machinery_5611 ER -
@conference{ author = "Rusov, Marko and Kosić, Boris and Berdić, Dušan", year = "2020", abstract = "This paper describes and explains MacLaurin’s transformations and their use in a 3D synthesis of mechanisms. An overview of the high order curves is provided, along with their degradation to the curves of the lower order. MacLaurin’s transcriptions are used to degrade the curves of the higher order to the desired curves of the lower order. This will allow us to generate different kinds of trajectories and, therefore, different kind of mechanisms. Furthermore, the implementation of the obtained curves into the CAD pragmas and 3D environment is presented. This allows a quick synthesis of a mechanism, its adaptation and simulation in order to get the desired final trajectories. Different kinds of trajectories implemented in a 3D environment are shown in this paper. Fully operational 3D models of mechanism trajectories and simulation are created and documented in the SolidWorks application. This research could be used further in the theory of mechanisms, 3D modelling, simulations and the synthesis of mechanisms. The exposed methods of the synthesis of mechanisms may be used in the design and construction of new mechanisms or the redesign of the existing mechanisms.", journal = "The 7th International Scientific Conference on Geometry and Graphics moNGeomatrija2020", title = "Use of Maclaurin Geometric Transformations in 3D Synthesis of Mechanisms", pages = "589-579", url = "https://hdl.handle.net/21.15107/rcub_machinery_5611" }
Rusov, M., Kosić, B.,& Berdić, D.. (2020). Use of Maclaurin Geometric Transformations in 3D Synthesis of Mechanisms. in The 7th International Scientific Conference on Geometry and Graphics moNGeomatrija2020, 579-589. https://hdl.handle.net/21.15107/rcub_machinery_5611
Rusov M, Kosić B, Berdić D. Use of Maclaurin Geometric Transformations in 3D Synthesis of Mechanisms. in The 7th International Scientific Conference on Geometry and Graphics moNGeomatrija2020. 2020;:579-589. https://hdl.handle.net/21.15107/rcub_machinery_5611 .
Rusov, Marko, Kosić, Boris, Berdić, Dušan, "Use of Maclaurin Geometric Transformations in 3D Synthesis of Mechanisms" in The 7th International Scientific Conference on Geometry and Graphics moNGeomatrija2020 (2020):579-589, https://hdl.handle.net/21.15107/rcub_machinery_5611 .