Analysis of Bucket Elevator Drive Mounting Structures Based on Graph Models
DOI:
https://doi.org/10.15276/opu.2.72.2025.02Keywords:
bucket elevator, drive, elastic system, modified kinematic graph, mechanical feedbackAbstract
The paper presents the results of the analysis and synthesis of bucket elevator drives based on combined graph models in mechanics. The study is carried out using the theory of modified kinematic graphs, which makes it possible to represent bucket elevator drives as elastic mechanical systems with mechanical feedback. The proposed approach provides a formalized analysis of the structures of existing drives and creates a basis for the synthesis of new design solutions with extended functional capabilities. A review and systematization of the main types of graph models used to solve problems in mechanics is performed, including kinematic, force, and combined graphs. The expediency of using modified kinematic graphs for the analysis of controlled elastic systems characterized by negative or zero mobility is demonstrated. The degree of mobility and the cyclomatic number are used to assess the controllability of elastic characteristics of mechanisms. The paper proposes a criterion for selecting an optimal design solution based on the energy of a modified kinematic graph, which is determined using spectral graph theory. Adjacency matrices are formed taking into account weighting coefficients that reflect design and technological factors as well as the direction of elastic force action. Using the example of two bucket elevator drive mounting structures, a comparative analysis is performed, which substantiates the selection of a more rational structure according to the criterion of minimum graph energy. The obtained results confirm the effectiveness of using modified kinematic graphs for the formalization and algorithmization of structural analysis and synthesis processes of bucket elevator drives, taking into account design and technological constraints.
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