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Reaction Solvability Analysis Using Natural Coordinates

Sharma, S and Ghosal, A (2021) Reaction Solvability Analysis Using Natural Coordinates. In: 4th International and 19th National Conference on Machines and Mechanism, iNaCoMM 2019, 5 - 7 December 2019, Mandi, pp. 991-1000.

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Official URL: https://doi.org/10.1007/978-981-16-0550-5_94


In over-constrained mechanisms, all the joint reactions cannot be solved uniquely based solely on rigid body assumptions. However, a few joint reactions may be uniquely solvable, and an approach termed as reactions solvability analysis (RSA), in this paper, can be used to find such uniquely solvable joint reactions. Existing work has implemented RSA algorithms using absolute coordinates. In this work, the RSA algorithm is used with natural coordinates and this is found to be more efficient for finding uniquely solvable joint reactions. To use natural coordinates for RSA, they need to be modified and this is discussed in this work.

Item Type: Conference Paper
Publication: Lecture Notes in Mechanical Engineering
Publisher: Springer Science and Business Media Deutschland GmbH
Additional Information: The copyright of this article belongs to the Springer Science and Business Media Deutschland GmbH.
Keywords: Natural coordinates; Over-constrained mechanisms; Reaction solvability analysis
Department/Centre: Division of Chemical Sciences > Inorganic & Physical Chemistry
Division of Chemical Sciences > Organic Chemistry
Date Deposited: 07 Jul 2022 05:57
Last Modified: 07 Jul 2022 05:57
URI: https://eprints.iisc.ac.in/id/eprint/74399

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