Generating Loci Through the Theory of Mechanisms
The problems focused on loci are usually solved by using Geometry, the approaching being difficult. Moreover, due to difficulties related to geometric aspects, ordinary solutions of this type are associated only to problems generating simple loci: line segments, circle arcs or conical circle arcs. In order to find loci with complicated shapes, the geometric methods are hard to apply. Moreover, there is no clear sequence of steps (procedures) applicable for solving problems of this kind. A common approach consists in trying to apply different theorems from the classical Geometry. On the other hand, if the locus can lead to finding an equivalent mechanism (which in most of the cases is possible), then the methods from the Theory of Mechanisms can be applied and consequently the loci become trajectories (rod curves) which can be determined as full curves. The paper’s starting point consists in a loci problem which is solved by using methods from the Theory of Mechanisms. Firstly, the synthesis of the equivalent mechanism is made. It contains 5 dyads. By using projections one obtained the relations defining the positions of 4 points belonging to the mechanism for which loci were found. The curves associated to the found loci were particular for each distinct point. The lengths of certain elements were modified and the consequences of these actions over the loci were studied.
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Availability:
- Find a library where document is available. Order URL: http://worldcat.org/isbn/9783030325633
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Supplemental Notes:
- © Springer Nature Switzerland AG 2020.
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Corporate Authors:
Springer International Publishing
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Authors:
- Popescu, Iulian
- Romanescu, Alina Elena
- Sass, Ludmila
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Conference:
- 30th International Congress of the Society of Automotive Engineers of Romania (SIAR 2019)
- Location: Craiova , Romania
- Date: 2019-10-23 to 2019-10-25
- Publication Date: 2019-10
Language
- English
Media Info
- Media Type: Web
- Edition: 1
- Features: References;
- Pagination: pp 653-659
- Monograph Title: The 30th SIAR International Congress of Automotive and Transport Engineering: Science and Management of Automotive and Transportation Engineering
Subject/Index Terms
- TRT Terms: Analytic geometries; Automotive engineering; Geometric design; Mathematical models; Mechanics
- Subject Areas: Design; Transportation (General);
Filing Info
- Accession Number: 01921754
- Record Type: Publication
- ISBN: 9783030325633
- Files: TRIS
- Created Date: Jun 14 2024 1:52PM