<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">pribor</journal-id><journal-title-group><journal-title xml:lang="ru">Известия высших учебных заведений. Приборостроение</journal-title><trans-title-group xml:lang="en"><trans-title>Journal of Instrument Engineering</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0021-3454</issn><issn pub-type="epub">2500-0381</issn><publisher><publisher-name>Национальный исследовательский университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/0021-3454-2022-65-3-174-184</article-id><article-id custom-type="elpub" pub-id-type="custom">pribor-228</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ПРОЕКТИРОВАНИЕ АДАПТИВНЫХ И ЭНЕРГОЭФФЕКТИВНЫХ РОБОТОТЕХНИЧЕСКИХ СИСТЕМ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>DESIGN OF ADAPTIVE AND ENERGY-EFFICIENT ROBOTIC SYSTEMS</subject></subj-group></article-categories><title-group><article-title>Проектирование неполноприводного прыгающего робота с гибкими сочленениями</article-title><trans-title-group xml:lang="en"><trans-title>Design of an underactuated jumping robot with flexible joints</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Насонов</surname><given-names>К. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Nasonov</surname><given-names>K. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Насонов Кирилл Вячеславович — магистрант; факультет систем управления и робототехники, лаборатория биомехатроники и энергоэффективной робототехники; инженер.</p><p>Санкт-Петербург</p></bio><bio xml:lang="en"><p>Kirill V. Nasonov — Graduate Student; ITMO University, Faculty of Control Systems and Robotics, International Laboratory of Biomechatronics and Energy-Efficient Robotics; Engineer.</p><p>St. Petersburg</p></bio><email xlink:type="simple">kvnasonov@itmo.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Борисов</surname><given-names>И. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Borisov</surname><given-names>I. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Борисов Иван Игоревич — канд. техн. наук; факультет систем управления и робототехники, лаборатория биомехатроники и энергоэффективной робототехники; научный сотрудник.</p><p>Санкт-Петербург</p></bio><bio xml:lang="en"><p>Ivan I. Borisov — PhD; ITMO University, Faculty of Control Systems and Robotics, International Laboratory of Biomechatronics and Energy-Efficient Robotics; Researcher.</p><p>St. Petersburg</p></bio><email xlink:type="simple">borisovii@itmo.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Университет ИТМО</institution></aff><aff xml:lang="en"><institution>ITMO University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>01</day><month>12</month><year>2024</year></pub-date><volume>65</volume><issue>3</issue><fpage>174</fpage><lpage>184</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Национальный исследовательский университет ИТМО, 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Национальный исследовательский университет ИТМО</copyright-holder><copyright-holder xml:lang="en">Национальный исследовательский университет ИТМО</copyright-holder><license xlink:href="https://pribor.ifmo.ru/jour/about/submissions#copyrightNotice" xlink:type="simple"><license-p>https://pribor.ifmo.ru/jour/about/submissions#copyrightNotice</license-p></license></permissions><self-uri xlink:href="https://pribor.ifmo.ru/jour/article/view/228">https://pribor.ifmo.ru/jour/article/view/228</self-uri><abstract><p>Представлены результаты исследования по проектированию и изготовлению прототипа энергоэффективного прыгающего робота с гибкими сочленениями с использованием принципов морфологического расчета. Гибкие элементы позволяют роботам адаптивно подстраиваться к окружающей среде при контактном взаимодействии, перенаправляя энергию взаимодействия с пластической деформации твердых тел в упругую деформацию эластичных тел, что способствует рекуперации энергии в системе. В отличие от традиционных низших и высших кинематических пар, гибкие сочленения обеспечивают перемещения звеньев только в ограниченном диапазоне в пределах зоны упругой деформации. Решена задача проектирования эластичных полимерных перекрестных сочленений на примере плоского механизма ноги неполноприводного прыгающего робота замкнутой кинематики, приводимого в движение от единственного серводвигателя с присоединенными последовательно эластичными элементами. При синтезе такого робота необходимо оптимизировать не только кинематические параметры рычажного механизма, но и топологию и эластостатические параметры самих эластичных сочленений.</p></abstract><trans-abstract xml:lang="en"><p>Results of a study on the design and manufacture of a prototype of an energy-efficient jumping robot with flexible joints using the principles of morphological calculation are presented. Flexible elements allow robots adaptation to the environment during contact interaction, redirecting the interaction energy from the plastic deformation of solids to the elastic deformation of elastic bodies, which contributes to energy recovery in the system. Unlike traditional lower and higher kinematic pairs, flexible joints provide movement of links only in a limited range within the elastic deformation zone. The problem of designing elastic polymer cross joints is solved by the example of a flat leg mechanism of an incomplete jumping robot of closed kinematics, driven by a single servo motor with elastic elements connected in series. When synthesizing such a robot, it is necessary to optimize not only the kinematic parameters of the lever mechanism, but also the topology and elastic-static parameters of the elastic joints themselves.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>биомиметика</kwd><kwd>гибкие сочленения</kwd><kwd>податливые роботы</kwd><kwd>численная оптимизация</kwd><kwd>морфологический расчет</kwd></kwd-group><kwd-group xml:lang="en"><kwd>biomimetics</kwd><kwd>flexible joints</kwd><kwd>soft robots</kwd><kwd>numerical optimization</kwd><kwd>morphological computation</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Seok S. et al. Actuator design for high force proprioceptive control in fast legged locomotion // IEEE/RSJ Intern. Conf. on Intelligent Robots and Systems. IEEE, 2012. Р. 1970—1975.</mixed-citation><mixed-citation xml:lang="en">Seok S. et al. 2012 IEEE/RSJ International Conference on Intelligent Robots and Systems, 2012, pp. 1970–1975.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Hauser S., Dujany M., Arreguit J., Ijspeert A., Iida F. Coupling-dependent convergence behavior of phase oscillators with tegotae-control // IEEE/RSJ Intern. Conf. on Intelligent Robots and Systems (IROS). 2021.</mixed-citation><mixed-citation xml:lang="en">Hauser S., Dujany M., Arreguit J., Ijspeert A., &amp; Iida F. EEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2021, 2021.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Ye K., Karydis K. Modeling and Trajectory Optimization for Standing Long Jumping of a Quadruped With a Preloaded Elastic Prismatic Spine // IEEE/RSJ Intern. Conf. on Intelligent Robots and Systems (IROS). 2021.</mixed-citation><mixed-citation xml:lang="en">Ye K. and Karydis K. IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2021, 2021.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Fankhauser P., Hutter M. ANYmal: a unique quadruped robot conquering harsh environments // Research Features. 2018. N 126. Р. 54—57.</mixed-citation><mixed-citation xml:lang="en">Fankhauser P., Hutter M. Research Features, 2018, no. 126, pp. 54–57.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Bledt G. et al. MIT Cheetah 3: Design and control of a robust, dynamic quadruped robot // IEEE/RSJ Intern. Conf. on Intelligent Robots and Systems (IROS). IEEE, 2018. P. 2245—2252.</mixed-citation><mixed-citation xml:lang="en">Bledt G. et al. 2018 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), IEEE, 2018, pp. 2245–2252.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Park H. W., Wensing P. M., Kim S. High-speed bounding with the MIT Cheetah 2: Control design and experiments // Intern. Journal of Robotics Research. 2017. Vol. 36, N 2. P. 167—192.</mixed-citation><mixed-citation xml:lang="en">Park H.W., Wensing P.M., Kim S. International Journal of Robotics Research, 2017, no. 2(36), pp. 167–192.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Zhong Y. et al. Analysis and research of quadruped robot’s legs: a comprehensive review // Intern. Journal of Advanced Robotic Systems. 2019. Vol. 16. N 3. P. 1729881419844148.</mixed-citation><mixed-citation xml:lang="en">Zhong Y. et al. International Journal of Advanced Robotic Systems, 2019, no. 3(16), pp. 1729881419844148.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Borisova O., Borisov I., Kolyubin S., Stramigioli S. Design of Galloping Robots with Elastic Spine: Tracking Relations between Dynamic Model Parameters Based on Motion Analysis of a Real Cheetah // IEEE/RSJ Intern. Conf. on Intelligent Robots and Systems (IROS). 2021.</mixed-citation><mixed-citation xml:lang="en">Borisova O., Borisov I., Kolyubin S., Stramigioli S. IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2021, 2021.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Folkertsma G. A. Energy-Based and Biomimetic Robotics. Enschedе: Univ. of Twente, 2017.</mixed-citation><mixed-citation xml:lang="en">Folkertsma G.A. Energy-based and biomimetic robotics, 2017.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Seok S. et al. Design principles for energy-efficient legged locomotion and implementation on the MIT cheetah robot // IEEE/ASME Trans. on Mechatronics. 2014. Vol. 20, N 3. P. 1117—1129.</mixed-citation><mixed-citation xml:lang="en">Seok S. et al. IEEE/ASME transactions on mechatronics, 2014, no. 3(20), pp. 1117–1129.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Folkertsma G. A., Kim S., Stramigioli S. Parallel stiffness in a bounding quadruped with flexible spine // IEEE/RSJ Intern. Conf. on Intelligent Robots and Systems. IEEE, 2012. P. 2210—2215.</mixed-citation><mixed-citation xml:lang="en">Folkertsma G.A., Kim S., Stramigioli S. 2012 IEEE/RSJ International Conference on Intelligent Robots and Systems, IEEE, 2012, pp. 2210–2215.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Hurst J. W., Chestnutt J. E., Rizzi A. A. An actuator with physically variable stiffness for highly dynamic legged locomotion // Proc. IEEE Intern. Conf. on Robotics and Automation, ICRA'04. IEEE, 2004. Vol. 5. P. 4662—4667.</mixed-citation><mixed-citation xml:lang="en">Hurst J.W., Chestnutt J.E., Rizzi A.A. IEEE International Conference on Robotics and Automation, Proceedings. ICRA'04, 2004, vol. 5, pp. 4662–4667.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Vu H. Q. et al. A variable stiffness mechanism for improving energy efficiency of a planar single-legged hopping robot // Proc. of the 16th Intern. Conf. on Advanced Robotics (ICAR). IEEE, 2013. P. 1—7.</mixed-citation><mixed-citation xml:lang="en">Vu H.Q. et al. 2013 16th International Conference on Advanced Robotics (ICAR), IEEE, 2013, pp. 1–7.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Radhakrishnan V. Locomotion: dealing with friction // Proc. of the National Academy of Sciences. 1998. Vol. 95, N 10. P. 5448—5455.</mixed-citation><mixed-citation xml:lang="en">Radhakrishnan V. Proceedings of the National Academy of Sciences, 1998, no. 10(95), pp. 5448–5455.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Haberland M. et al. The effect of swing leg retraction on running energy efficiency // IEEE/RSJ Intern. Conf. on Intelligent Robots and Systems. IEEE, 2011. P. 3957—3962.</mixed-citation><mixed-citation xml:lang="en">Haberland M. et al. 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems, IEEE, 2011, pp. 3957–3962.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Thomaszewski B. et al. Computational design of linkage-based characters // ACM Trans. on Graphics (TOG). 2014. Vol. 33, N 4. P. 1—9.</mixed-citation><mixed-citation xml:lang="en">Thomaszewski B. et al. ACM Transactions on Graphics (TOG), 2014, no. 4(33), pp. 1–9.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Pratt G. A., Williamson M. M. Series elastic actuators // Proc. IEEE/RSJ Intern. Conf. on Intelligent Robots and Systems. Human Robot Interaction and Cooperative Robots. IEEE, 1995. Vol. 1. P. 399—406.</mixed-citation><mixed-citation xml:lang="en">Pratt G.A., Williamson M.M. Proceedings 1995 IEEE/RSJ International Conference on Intelligent Robots and Systems, Human Robot Interaction and Cooperative Robots, IEEE, 1995, vol. 1, pp. 399–406.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Pappalardo A. et al. Hunt–crossley model based force control for minimally invasive robotic surgery // Biomedical Signal Processing and Control. 2016. Vol. 29. P. 31—43.</mixed-citation><mixed-citation xml:lang="en">Pappalardo A. et al. Biomedical Signal Processing and Control, 2016, vol. 29, pp. 31–43.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Townsend W., Salisbury J. The effect of coulomb friction and stiction on force control // Proc. IEEE Intern. Conf. on Robotics and Automation. IEEE, 1987. Vol. 4. P. 883—889.</mixed-citation><mixed-citation xml:lang="en">Townsend W., Salisbury J. Proceedings 1987 IEEE International Conference on Robotics and Automation, IEEE, 1987, vol. 4, pp. 883–889.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Lakatos D., Albu-Schäffer A. Switching based limit cycle control for compliantly actuated second-order systems // IFAC Proc. Volumes. 2014. Vol. 47, N 3. P. 6392—6399.</mixed-citation><mixed-citation xml:lang="en">Lakatos D., Albu-Schäffer A. IFAC Proceedings Volumes, 2014, no. 3(47), pp. 6392–6399.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Howell L. L. Compliant mechanisms // 21st Century Kinematics; Ed. I. M. McCarthy. Springer, 2013. P. 189—216.</mixed-citation><mixed-citation xml:lang="en">Howell L.L. 21st century kinematics, Springer, London, 2013, pp. 189–216.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Ashby M. F., Jones D. R. H. Engineering Materials 1: An Introduction to Properties, Applications and Design. Elsevier, 2012. Vol. 1.</mixed-citation><mixed-citation xml:lang="en">Ashby M.F., Jones D.R.H. Engineering materials 1: an introduction to properties, applications and design, Elsevier, 2012, vol. 1.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Chen G. M., Jia J. Y., Li Z. W. Right-circular corner-filleted flexure hinges // IEEE Intern. Conf. on Automation Science and Engineering. IEEE, 2005. P. 249—253.</mixed-citation><mixed-citation xml:lang="en">Chen G.M., Jia J.Y., Li Z.W. IEEE International Conference on Automation Science and Engineering, 2005, pp. 249–253.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Lobontiu N. Compliant Mechanisms: Design of Flexure Hinges. CRC Press, 2002.</mixed-citation><mixed-citation xml:lang="en">Lobontiu N. Compliant mechanisms: design of flexure hinges, CRC press, 2002.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Naves M. et al. Flexure-based 60 degrees stroke actuator suspension for a high torque iron core motor // Precision Engineering. 2020. Vol. 63. P. 105—114.</mixed-citation><mixed-citation xml:lang="en">Naves M. et al. Precision engineering, 2020, vol. 63, pp. 105–114.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Naves M., Aarts R., Brouwer D. M. Large-stroke flexure hinges: Building-block-based spatial topology synthesis method for maximising flexure performance over their entire range of motion // Mikroniek. 2017. Vol. 57, N 3. P. 5—9.</mixed-citation><mixed-citation xml:lang="en">Naves M., Aarts R., Brouwer D.M. Mikroniek, 2017, no. 3(57), pp. 5–9.</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Boers A. S. B. et al. Inverted curved flexure hinge with torsional reinforcements in a printed prosthetic finger // 33rd ASPE Annual Meeting. 2018.</mixed-citation><mixed-citation xml:lang="en">Boers A.S.B. et al. 33rd ASPE Annual Meeting 2018, 2018.</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">SPACAR Wiki. 2021 [Электронный ресурс]: http://www.spacar.nl/wiki/doku.php?id=start, 10.04.2021.</mixed-citation><mixed-citation xml:lang="en">SPACAR Wiki, 2021, http://www.spacar.nl/wiki/doku.php?id=start.</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Fix M. E., Brouwer D. M., Aarts R. G. K. M. Building Block Based Topology Synthesis Algorithm to Optimize the Natural Frequency in Large Stroke Flexure Mechanisms // Intern. Design Engineering Technical Conf. and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2020. Vol. 83914. P. V002T02A007.</mixed-citation><mixed-citation xml:lang="en">Fix M.E., Brouwer D.M., Aarts R.G.K.M. International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, American Society of Mechanical Engineers, 2020, vol. 83914, pp. V002T02A007.</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">ROBOTIS e-Manual AX-12A [Электронный ресурс]: https://emanual.robotis.com/docs/en/dxl/ax/ax-12a/, 25.06.2021.</mixed-citation><mixed-citation xml:lang="en">ROBOTIS e-Manual AX-12A, https://emanual.robotis.com/docs/en/dxl/ax/ax-12a/.</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Тензорезисторы KYOWA. 2018 [Электронный ресурс]: http://kyowa.ru/produktsiya/tenzorezistori.html, 20.06.2021.</mixed-citation><mixed-citation xml:lang="en">http://kyowa.ru/produktsiya/tenzorezistori.html.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
