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ARPN Journal of Engineering and Applied Sciences

Advanced modeling of flexible mechanisms via virtual kinematic chains and Davies method

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Author Gonzalo Moreno, James R. Vera Rozo and Juan Carlos Serrano
e-ISSN 1819-6608
On Pages 390-395
Volume No. 21
Issue No. 6
Issue Date May 20, 2026
DOI https://doi.org/10.59018/032648
Keywords flexible mechanisms, virtual joint method, Davies method, static analysis, deformation modeling.


Abstract

All mechanical systems are subjected to forces that generate stresses and deformations in their components. These effects are critical for structural design, material selection, and motion prediction. Flexible components are particularly challenging to analyze due to geometric changes under loading conditions. This paper presents a methodology for modeling flexible mechanisms using a virtual kinematic chain combined with the Davies method for static analysis. The proposed approach allows the determination of stresses, deformations, and motion characteristics in a unified framework. A case study is presented to validate the model, showing strong agreement with classical methods while providing enhanced insight into deformation effects.

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