The research of plane link complex-structure mechanisms by vector algebra methods
DOI:
https://doi.org/10.15587/1729-4061.2015.44236Keywords:
complex-structure mechanism, kinematics, vector algebra, numerical solution, Mathcad programAbstract
One of the ways to improve machines is using mechanisms that have enhanced kinematic and dynamic parameters. Complex-structure mechanisms have such characteristics. Their introduction is hampered by a lack of methods for their synthesis and analysis.
Analytical investigation of the kinematics of plane eight-link mechanism was performed in the paper. At that, in the kinematic chain there are links that form the slide - block pair.
The analytical method of kinematic analysis of plane lever mechanisms of random structure based on the vector representation of links, which allows to use the vector algebra apparatus of the Mathcad package was proposed. Using one-component vectors as unknowns (angular velocities and accelerations) and introducing vector products in equations minimizes the number of equations and the program volume. Research results are presented in a natural form for kinematic parameters, i.e. vector.
The considered approach can be used in the analysis and synthesis of complex multilink mechanisms.
References
- Dvornikov, L. T., Starikov, S. P. (2006). Kinematika i kinetostatika ploskoy shestizvennoy gruppyi Asura chetvertogo klassa. Teoriya mehanizmov i mashin, 4 (1 (7)), 61–65.
- Bertyaev, V. D. (2005). Teoreticheskaya mehanika na baze Mathcad Praktikum., SPb.:BHV-Peterburg, 752.
- Tretyakov, V. M. (2009). Ispolzovanie programmyi Mathcad pri opredelenii skorostey i uskoreniy ryichazhnyih mehanizmov. Teoriya mehanizmov i mashin, 2, 40‑48.
- Matsyuk, I. M. (2009). Doslidzhennya kinematiki ta dinamiki mehanizmiv zasobami vektornoyi algebri. VISNIK NatsIonalnogo tehnichnogo universitetu Ukrayini “Kiyivskiy politehnichniy Institut”. Seriya “Girnitstvo”, 18, 79‑84.
- Matsyuk, I. N., Shlyahov, E. M.; Radkevich, M. M., Evgrafov, A. N. (Eds.) (2013). Opredelenie kinematicheskih i kinetostaticheskih parametrov ploskih sterzhnevyih mehanizmov slozhnoy strukturyiю. Sovremennoe mashinostroenie. Nauka i obrazovanie: Materialyi 3-y Mezhdunar. nauch.-prakt. konferentsii. SPb.: Izd-vo Politehn. un-ta, 788–796.
- Zinovev, V. A. (1975). Kurs teorii mehanizmov i mashin. Moscow: Nauka. 204.
- Matsyuk, I. M., Shlyahov, E. M., Ziborov, K. A. (2010). Kinematichne ta dinamichne doslidzhennya ploskih vazhilnih mehanizmiv. Dnipropetrovsk, RVK NGU Ukrayini. 132.
- Heinloo, M., Aarend, E., Mägi, M. (1999). On The Experience of Mathcad-Aided Analysis of Planar Linkages. Proc. Tenth World Congress on the Theory of Machines and Mechanisms, 1, 392–397.
- Fehmi, B. K., Ahmet, S., Valdrin, K. (2008). Planar kinematics analys is method of seven-bar mechanism using vector loops and the verification of results experimentally. Proc. 12th International Research / Expert Conference ”Trends in the Development of Machinery and Associated Technology” TMT. Istanbul. Turkey. Available at: http://www.tmt.unze.ba/zbornik/TMT2008/247-TMT08-214.pdf
- Matsyuk, I. N.; Radkevich, M. M., Evgrafov, A. N. (Eds.) (2013). Opredelenie kinematicheskih i kinetostaticheskih parametrov ploskih sterzhnevyih mehanizmov slozhnoy strukturyi. Sovremennoe mashinostroenie. Nauka i obrazovanie: Materialyi 3-y Mezhdunar. nauch.-prakt. konferentsii. SPb.: Izd-vo Politehn. un-ta, 788–796.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2015 Ирина Николаевна Мацюк, Эдуард Михайлович Шляхов
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.
