Simulation of dynamics of oscillations of manipulator using Lagrange equations of second order

The article discusses the main stages of compiling a dynamic model of manipulator oscillations, based on the method of mathematical modeling, the basis of which is the circuit design of the manipulator under study. A schematic solution of the manipulator has been compiled as a system in which a...

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Bibliographic Details
Main Authors: A. H. Shamutdinov, I. Yu. Lesnyak
Format: Article
Language:English
Published: Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education 2022-06-01
Series:Омский научный вестник
Subjects:
Online Access:https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2022/%E2%84%96%203%20(183)%20(%D0%9E%D0%9D%D0%92)/53-57%20%D0%A8%D0%B0%D0%BC%D1%83%D1%82%D0%B4%D0%B8%D0%BD%D0%BE%D0%B2%20%D0%90.%20%D0%A5.,%20%D0%9B%D0%B5%D1%81%D0%BD%D1%8F%D0%BA%20%D0%98.%20%D0%AE..pdf
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Summary:The article discusses the main stages of compiling a dynamic model of manipulator oscillations, based on the method of mathematical modeling, the basis of which is the circuit design of the manipulator under study. A schematic solution of the manipulator has been compiled as a system in which an arbitrary vertical force Pz and moments Mx, My relative to the X and Y axes act on the working panel, elastic elements — springs, with known stiffness coefficients. On the basis of the equation of dynamics, in the form of Lagrange of the second order, a system of equations of oscillatory processes arising from external loads is compiled, natural frequencies of elastic oscillations of the manipulator are determined, and conclusions are drawn.
ISSN:1813-8225
2541-7541