Optimization kinematic synthesis of four-link linkage mechanism in two preset positions
The widespread use of flat articulated four-link mechanisms in various automatic devices and devices requires the further development of automated kinematic synthesis methods, which, based on modern mathematical approaches, will reduce the required amount of a priori information and obtain an ex...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education
2020-06-01
|
| Series: | Омский научный вестник |
| Subjects: | |
| Online Access: | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2020/3%20(171)/21-25%20%D0%93%D0%B5%D0%B1%D0%B5%D0%BB%D1%8C%20%D0%95.%20%D0%A1.,%20%D0%A7%D0%B8%D0%B3%D1%80%D0%B8%D0%BD%D0%BE%D0%B2%D0%B0%20%D0%95.%20%D0%90..pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832574007937859584 |
|---|---|
| author | E. S. Gebel E. A. Chigrinova |
| author_facet | E. S. Gebel E. A. Chigrinova |
| author_sort | E. S. Gebel |
| collection | DOAJ |
| description | The widespread use of flat articulated four-link mechanisms
in various automatic devices and devices requires the further
development of automated kinematic synthesis methods, which,
based on modern mathematical approaches, will reduce the
required amount of a priori information and obtain an exact
solution. The approach of the best quadratic approximation of
functions used in the article made it possible to formulate both the
optimality criterion and the conditions for its achievement on the
basis of the equation of closure of a vector contour.
The analysis of the model showed that on its basis it is possible to
evaluate the presence of singular positions of the links at which
a spontaneous change in the law of motion of the output link
is possible. A numerical experiment in the MathCAD package
made it possible to verify the synthesis methodology based on
the results of solving the kinematic analysis problem and the
graphical representation of the connecting rod curves. |
| format | Article |
| id | doaj-art-ee17cfee18e9448c93516033d6f76101 |
| institution | Kabale University |
| issn | 1813-8225 2541-7541 |
| language | English |
| publishDate | 2020-06-01 |
| publisher | Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education |
| record_format | Article |
| series | Омский научный вестник |
| spelling | doaj-art-ee17cfee18e9448c93516033d6f761012025-02-02T01:35:57ZengOmsk State Technical University, Federal State Autonoumos Educational Institution of Higher EducationОмский научный вестник1813-82252541-75412020-06-013 (171)212510.25206/1813-8225-2020-171-21-25Optimization kinematic synthesis of four-link linkage mechanism in two preset positionsE. S. Gebel0https://orcid.org/0000-0003-1811-8755E. A. Chigrinova1https://orcid.org/0000-0001-6913-9324Omsk State Technical UniversityOmsk State Technical UniversityThe widespread use of flat articulated four-link mechanisms in various automatic devices and devices requires the further development of automated kinematic synthesis methods, which, based on modern mathematical approaches, will reduce the required amount of a priori information and obtain an exact solution. The approach of the best quadratic approximation of functions used in the article made it possible to formulate both the optimality criterion and the conditions for its achievement on the basis of the equation of closure of a vector contour. The analysis of the model showed that on its basis it is possible to evaluate the presence of singular positions of the links at which a spontaneous change in the law of motion of the output link is possible. A numerical experiment in the MathCAD package made it possible to verify the synthesis methodology based on the results of solving the kinematic analysis problem and the graphical representation of the connecting rod curves.https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2020/3%20(171)/21-25%20%D0%93%D0%B5%D0%B1%D0%B5%D0%BB%D1%8C%20%D0%95.%20%D0%A1.,%20%D0%A7%D0%B8%D0%B3%D1%80%D0%B8%D0%BD%D0%BE%D0%B2%D0%B0%20%D0%95.%20%D0%90..pdfflat connecting rod mechanismkinematic synthesisquadratic approximation of functionsmodeling |
| spellingShingle | E. S. Gebel E. A. Chigrinova Optimization kinematic synthesis of four-link linkage mechanism in two preset positions Омский научный вестник flat connecting rod mechanism kinematic synthesis quadratic approximation of functions modeling |
| title | Optimization kinematic synthesis of four-link linkage mechanism in two preset positions |
| title_full | Optimization kinematic synthesis of four-link linkage mechanism in two preset positions |
| title_fullStr | Optimization kinematic synthesis of four-link linkage mechanism in two preset positions |
| title_full_unstemmed | Optimization kinematic synthesis of four-link linkage mechanism in two preset positions |
| title_short | Optimization kinematic synthesis of four-link linkage mechanism in two preset positions |
| title_sort | optimization kinematic synthesis of four link linkage mechanism in two preset positions |
| topic | flat connecting rod mechanism kinematic synthesis quadratic approximation of functions modeling |
| url | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2020/3%20(171)/21-25%20%D0%93%D0%B5%D0%B1%D0%B5%D0%BB%D1%8C%20%D0%95.%20%D0%A1.,%20%D0%A7%D0%B8%D0%B3%D1%80%D0%B8%D0%BD%D0%BE%D0%B2%D0%B0%20%D0%95.%20%D0%90..pdf |
| work_keys_str_mv | AT esgebel optimizationkinematicsynthesisoffourlinklinkagemechanismintwopresetpositions AT eachigrinova optimizationkinematicsynthesisoffourlinklinkagemechanismintwopresetpositions |