Autors: Todorov, T. S.
Title: Synthesis of Four Bar Mechanisms as Function Generators by Freudenstein – Chebyshev
Keywords: Mechanism Synthesis; Function Generator; Best Approximation, Singular Configuration; Freudenstein Equation; Chebyshev’s Theorem

Abstract: This paper describes new method for the synthesis of four-bar linkages for generating a required input-to-output motion. The synthesis method is based on the direct application of Chebyshev’s Alternation Theorem for the Equation of Freudenstein. By this approach the maximum structural error which corresponds to the best approximation can be estimated in advance. Two comparative examples are herewith used to illustrate some of the main features of the method. The innovation in this paper is the presentation of the target function as exact satisfied equation. On substituting the solution of this equation in the Equation of Freudenstein a generalized polynomial of Chebyshev is obtained. This polynomial is minimized by the Chebyshev’s alternation theorem. This method does not require Chebyshev’s spacing of the structural error of the mechanisms. One of the advantages of the so proposed approach is the possibility to predict the peculiarities of the mechanism with respect to the synthesis

References

  1. Todorov, T., 2015, Synthesis of Four Bar Mechanisms as Function Generators by Freudenstein - Chebyshev, Journal of Robotics and Mechanical Engineering Research, Volume 1(1), pp. pp.1-6

Issue

, vol. 1, issue 1, pp. 1-6, 2015, United Kingdom, Verizona publisher

Full text of the publication

Цитирания (Citation/s):
1. Coupler Point Path Synthesis of Crank Rocker Mechanism with Three Precision Positions and Unit Time Ratio, International Journal of Advanced Engineering and Global Technology, Vol. 3 (9) - 2015 - от чужди автори в чужди издания, неиндексирани в Scopus или Web of Science
2.  M. Matsyuk, E.М.Shlyahov, O. I.Yehurnov,On applying high-class mechanisms of heavy-loaded machines, Geotechnical and Mining Mechanical Engineering, Machine Building, 3,pp. 68-73 2019 - 2019 - в издания, индексирани в Scopus или Web of Science
3. Hayes, M. John D. and Husty, Manfred L. and Pfurner, Martin, Input-Output Equation for Planar Four-Bar Linkages, Advances in Robot Kinematics, pp. 12--19, - 2018 - в издания, индексирани в Scopus или Web of Science
4. А. K. Tuleshov, А. А. Jomartov, S. Ibrayev, N. K. Jamalov, R. Halicioglu, OPTIMAL SYNTHESIS OF PLANAR LINKAGES,N E W S OF THE NATIONAL ACADEMY OF SCIENCES OF THE REPUBLIC OF KAZAKHSTAN SERIES OF GEOLOGY AND TECHNICAL SCIENCES, vol.1, 439, pp. 172-180 - 2020 - в издания, индексирани в Scopus или Web of Science
5. Nadim Diab, A New Approach for Locating the Instantaneous Centers of Zero Velocity for 1-DOF Planar Linkages, Proceedings ASME International, Mechanical Engineering Congress and Exposition, ASME digital collection, IMECE2018-86341, V04BT06A009; 7 pages - 2019 - в издания, индексирани в Scopus или Web of Science
6. I.M.Matsyuk, E.М.Shlyahov, O.I.Yehurnov, Substantiation of rational drive parameters for reliable operation of heavy-loaded mechanisms, - 2019 - в издания, индексирани в Scopus или Web of Science
7. Nadim Diab, Omar Itani, Ahmad Smaili, Optimum Synthesis of Rigid Mechanisms Using a Dynamic Ant-Search Method With Sensitivity Analysis, Proceedings ASME International, Mechanical Engineering Congress and Exposition, ASME digital collection,IMECE2019-10262, V014T14A017; 9 pages - 2019 - в издания, индексирани в Scopus или Web of Science
8. Matsyuk, I. M.; Shlyahov, E. М.; Yehurnov, O. I., SUBSTANTIATION OF RATIONAL DRIVE PARAMETERS FOR RELIABLE OPERATION OF HEAVY-LOADED MECHANISMS, Scientific Bulletin of National Mining University . 2019, Issue 5, p55-59. 5p. - 2019 - от чужди автори в чужди издания, неиндексирани в Scopus или Web of Science
9. Sayat Ibrayev, Assylbek Jomartov, and Amandyk Tuleshov, Synthesis of Four-Bar Linkage with Adjustable Crank Length for Multi-Path Generation,International Journal of Mechanical Engineering and Robotics Research Vol. 9, No. 4, April 2020 - 2020 - в издания, индексирани в Scopus или Web of Science
10. І.М.Мацюк,Е.М.Шляхов, О.І.Єгурнов, Обґрунтування раціональних параметрів приводу для надійної роботи важко-навантажених механізмів, Науковий Вiсник националного гiрничого университету - 2019 - от чужди автори в чужди издания, неиндексирани в Scopus или Web of Science
11. Diab, N. A new graphical technique for acceleration analysis of four bar mechanisms using the instantaneous center of zero acceleration. SN Appl. Sci. 3, 327 (2021). https://doi.org/10.1007/s42452-021-04318-9 - 2021 - в издания, индексирани в Scopus или Web of Science
12. А. K. Tuleshov, А. А. Jomartov, S. Ibrayev, N. K. Jamalov, R. Halicioglu,OPTIMAL SYNTHESIS OF PLANAR LINKAGES ,N E W S OF THE NATIONAL ACADEMY OF SCIENCES OF THE REPUBLIC OF KAZAKHSTAN SERIES OF GEOLOGY AND TECHNICAL SCIENCES ISSN 2224-5278 Volume 1, Number 439 (2020), 172 – 180 - 2020 - в издания, индексирани в Scopus или Web of Science
13. Rotzoll, Mirja, Quinn Bucciol, and M. John D. Hayes. "Algebraic Input-output Angle Equation Derivation Algorithm for the Six Distinct Angle Pairings in Arbitrary Planar 4R Linkages." 2021 20th International Conference on Advanced Robotics (ICAR). IEEE, 2021. - 2021 - в издания, индексирани в Scopus или Web of Science
14. James, V., and B. Sivakumar. "Synthesizing a Planar Four Bar Linkage and Coupler Curve." Communications in Mathematics and Applications 12.4 (2021): 1045-1050. - 2021 - в издания, индексирани в Scopus или Web of Science

Вид: публикация в международен форум, публикация в реферирано издание, индексирана в Scopus