{"id":6701,"date":"2026-02-22T22:08:25","date_gmt":"2026-02-22T22:08:25","guid":{"rendered":"https:\/\/izvestiyakbncran.ru\/?page_id=6701"},"modified":"2026-05-15T11:23:19","modified_gmt":"2026-05-15T10:23:19","slug":"28-1-5-en","status":"publish","type":"page","link":"https:\/\/izvestiyakbncran.ru\/index.php\/en\/28-1-5-en\/","title":{"rendered":"28.1.5 En"},"content":{"rendered":"\n

Mathematical model development for a six-link industrial robotic arm with mechanical gripper<\/strong><\/h1>\n\n\n\n

Z.L. Khakimov, V.V. Shukhin, M.A. Labazanov<\/strong><\/p>\n\n\n\n

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Abstract<\/strong>.<\/strong> <\/em>The need to develop an accurate mathematical model for this type of manipulator is driven by increasing demands on the precision, speed, and autonomy of robotic systems.
Aim<\/strong>. This study is to develop a comprehensive mathematical model of a six-link robotic manipulator, including a kinematic and dynamic description, as well as a model of its mechanical gripper.
Research methods<\/strong>. This study utilizes an integrated approach combining classical robotics methods with consideration of the specific features of a force gripper to solve contact interaction problems. The Denavit-Hartenberg methods, the Lagrange-Euler equations, and a polygonal representation are also used.
Results<\/strong>. This article presents an approach to developing a comprehensive mathematical model of a six-link robotic manipulator equipped with a mechanical gripper. A unified formalism for modeling, control, and analysis of the manipulator is proposed. The model includes a kinematic, dynamic, and geometric description necessary for solving problems of precise positioning and force interaction with manipulated objects. Numerical simulations conducted in MATLAB\/Simulink confirm the model’s validity and demonstrate its applicability for trajectory and control system synthesis.
Conclusion<\/strong>. The developed model is a universal tool and can be adapted to specific industrial manipulators by adjusting the D-H parameters and inertial characteristics, opening up broad possibilities for its practical application in robotics.<\/p>\n\n\n\n

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Keywords<\/strong>:<\/em><\/strong> robot manipulator, six-link kinematic chain, direct and inverse kinematic problems, manipulator dynamics, mathematical modeling, control system<\/p>\n\n\n\n

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For citation<\/strong>.<\/strong> Khakimov Z.L., Shukhin V.V., Labazanov M.A. Mathematical model development for a six-link industrial robotic arm with mechanical gripper. News of the Kabardino-Balkarian Scientific Center of RAS. 2026. Vol. 28. No. 1. Pp. 75\u201389. DOI: 10.35330\/1991-6639-2026-28-1-75-89<\/p>\n\n\n\n

\u00a9   Khakimov Z.L., Shukhin V.V., Labazanov M.A., 2026<\/p>\n\n\n\n

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Content is available under license Creative Commons Attribution 4.0 License<\/a><\/p>\n<\/div>\n\n\n\n

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R<\/strong>eferences<\/summary>\n
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  14. Arkhipov M.V., Vartanov M.V., Mishchenko R.S. Promyshlennyye roboty: upravleniye manipulyatsionnymi robotami: uchebnik dlya srednego professional’nogo obrazovaniya<\/em> [Industrial Robots: Control of Manipulation Robots: Textbook for Secondary Vocational Education]. 2nd ed., corrected. and add. Moscow: Izdatelstvo Yurait, 2025. 170 p. ISBN: 978-5-534-13082-9. (In Russian)<\/li>\n\n\n\n
  15. Moskvichev A.A., Kvartalov A.R., Ustinov B.V. Zakhvatnyye ustroystva promyshlennykh robotov i manipulyatorov [Gripping Devices of Industrial Robots and Manipulators]: textbook. Moscow: FORUM; INFRA-M, 2020. 176 p. (In Russian)<\/li>\n<\/ol>\n<\/details>\n\n\n\n
    Information about the author<\/strong>s<\/summary>\n
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    Zaur L. Khakimov<\/strong>, Candidate of Technical Sciences, Associate Professor, Department of Automation of Technological Processes and Production, Grozny State Oil Technical University named after academician M.D. Millionshchikov;
    100, Isaev avenue, Grozny, 364051, Russia;
    deffender_95@mail.ru, ORCID: https:\/\/orcid.org\/0009-0007-1665-8631, SPIN-code: 3540-6580
    Vladimir V. Shukhin<\/strong>, Candidate of Technical Sciences, Associate Professor, Department of Automation of Technological Processes and Production, Grozny State Oil Technical University named after academician M.D. Millionshchikov;
    100, Isaev avenue, Grozny, 364051, Russia;
    shukhin86@bk.ru, ORCID: https:\/\/orcid.org\/0009-0003-0273-0058, SPIN-code: 2895-3434
    Magomed A. Labazanov<\/strong>, Senior Lecturer, Department of Automation of Technological Processes and Production, Grozny State Oil Technical University named after academician M.D. Millionshchikov;
    100, Isaev avenue, Grozny, 364051, Russia;
    labazanov.90@inbox.ru, ORCID: https:\/\/orcid.org\/0009-0005-9714-5146, SPIN-code: 5981-5217<\/p>\n\n\n\n

    <\/p>\n<\/div>\n<\/details>\n\n\n\n

    Funding<\/strong><\/summary>\n

    The study was performed without external funding.<\/p>\n<\/details>\n\n\n\n

    <\/p>\n","protected":false},"excerpt":{"rendered":"

    Mathematical model development for a six-link industrial robotic arm with mechanical gripper Z.L. Khakimov, V.V. Shukhin, M.A. Labazanov Abstract. The need to develop an accurate mathematical model for this type of manipulator is driven by increasing demands on the precision, speed, and autonomy of robotic systems.Aim. This study is to develop a comprehensive mathematical model […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"wp-custom-template-home","meta":{"footnotes":""},"class_list":["post-6701","page","type-page","status-publish","hentry"],"yoast_head":"\n28.1.5 En - \u0418\u0417\u0412\u0415\u0421\u0422\u0418\u042f \u041a\u0410\u0411\u0410\u0420\u0414\u0418\u041d\u041e-\u0411\u0410\u041b\u041a\u0410\u0420\u0421\u041a\u041e\u0413\u041e \u041d\u0410\u0423\u0427\u041d\u041e\u0413\u041e \u0426\u0415\u041d\u0422\u0420\u0410 \u0420\u0410\u041d\u00bb<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/izvestiyakbncran.ru\/index.php\/en\/28-1-5-en\/\" \/>\n<meta property=\"og:locale\" content=\"ru_RU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"28.1.5 En - \u0418\u0417\u0412\u0415\u0421\u0422\u0418\u042f \u041a\u0410\u0411\u0410\u0420\u0414\u0418\u041d\u041e-\u0411\u0410\u041b\u041a\u0410\u0420\u0421\u041a\u041e\u0413\u041e \u041d\u0410\u0423\u0427\u041d\u041e\u0413\u041e \u0426\u0415\u041d\u0422\u0420\u0410 \u0420\u0410\u041d\u00bb\" \/>\n<meta property=\"og:description\" content=\"Mathematical model development for a six-link industrial robotic arm with mechanical gripper Z.L. 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Khakimov, V.V. Shukhin, M.A. Labazanov Abstract. The need to develop an accurate mathematical model for this type of manipulator is driven by increasing demands on the precision, speed, and autonomy of robotic systems.Aim. 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