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Program realization of mathematical model of kinematic calculation of flat lever mechanisms

https://doi.org/10.20914/2310-1202-2016-2-87-94

Abstract

Calculation of kinematic mechanisms is very time-consuming work. Due to the content of a large number of similar operations can be automated using computers. Forthis purpose, it is necessary to implement a software implementation ofthe mathematical model of calculation of kinematic mechanisms of the second class. In the article on Turbo Pascal presents the text module to library procedures all kinematic studies of planar lever mechanisms of the second class. The determination of the kinematic characteristics of the mechanism and the construction of its provisions, plans, plans, speeds and accelerations carried out on the example of the six-link mechanism. The beginning of the motionless coordinate system coincides with the axis of rotation of the crank AB. It is assumed that the known length of all links, the positions of all additional points of links and the coordinates of all kinematic pairs rack mechanism, i.e. this stage of work to determine the kinematics of the mechanism must be preceded by a stage of synthesis of mechanism (determining missing dimensions of links). Denote the coordinates of point C and considering that the analogues of velocities and accelerations of this point is 0 (stationary point), appeal to the procedure that computes the kinematics group the Assyrians (GA) third. Specify kinematic parameters of point D, taking the beginning of the guide slide E at point C, the angle, the analogue of the angular velocity and the analogue of the angular acceleration of the guide is zero, knowing the length of the connecting rod DE and the length of link 5, refer to the procedure for the GA of the second kind. The use of library routines module of the kinematic calculation, makes it relatively simple to organize a simulation of the mechanism motion, to calculate the projection analogues of velocities and accelerations of all links of the mechanism, to build plans of the velocities and accelerations at each position of the mechanism.

About the Authors

M. A. Vasechkin
Voronezh state university of engineering technologies
Russian Federation

Ph. D., associate professor, department of technical mechanics, 

Revolution Av., 19 Voronezh



A. I. Potapov
Voronezh state university of engineering technologies

Ph. D., associate professor, machine and devices of food productions department, 

Revolution Av., 19 Voronezh



A. S. Sidorenko
Russian Air Force Military Educational and Scientific Center “Air Force Academy named after Professor N.E. Zhukovsky and Y.A. Gagarin”

Ph. D., senior lecturer, department of all-professional disciplines, 

Starykh Bolshevikov St., 54a, Voronezh 



Y. D. Chertov
Voronezh state university of engineering technologies

D. t. sc., professor, department of technical mechanics, 

Revolution Av., 19 Voronezh



References

1. Sidorenko A.S. Kinematicheskij analiz ploskikh ruychazhnyh mekhanizmov na baze Turbo Pascal [Kinematic analysis of plane lever mechanisms on the basis of Turbo Pascal] Voronezh, VUNTs VVS "VVA", 2015. pp. 39 (in Russian)

2. Sidorenko A.S., Dubets S.V., Dubets A.V. Computer simulation and analysis of the kinematics of the second class of mechanisms. Molodeznye chtenia pamyati Y.A. Gagarina: mat. Mezhvyzovsk. nauch.- prakt. konf. [Collected articles on materials Interuniversity NPK cadets and students "Youth read memory Y.A. Gagarin May 20, 2014"] 2014, part 2, pp. 154-157. (in Russian)

3. Mkrtychev O.V. Computer modeling of the kinematic analysis of planar mechanisms. Teoriya mekhanizmov i mashin [Theory of mechanisms and machines] 2012, no. 1, vol. 10, pp. 46-52 (in Russian)

4. Babichev D.T. Computer simulation of planar mechanisms and contingency construction of single-stage helical gear units Teoriya mekhanizmov i mashin [Theory of mechanisms and machines] 2011, no. 2, vol. 9., pp. 38-47 (in Russian)

5. Doronin F.A., Doev V.S. Investigation of the mechanism of movement of the flat with the help of Mathcad Teoriya mekhanizmov i mashin [Theory of mechanisms and machines]. 2011, no. 1, vol. 9, pp. 77-87 (in Russian).

6. Simas H., Guenther R., Da Cruz D. F. M. et al. A new method to solve robot inverse kinematics using Assur virtual chains.Robotica, 2009, vol. 27, no. 7, pp. 1017-1026. DOI: http://dx.doi.org/10.1017/S0263574709005426


Review

For citations:


Vasechkin M.A., Potapov A.I., Sidorenko A.S., Chertov Y.D. Program realization of mathematical model of kinematic calculation of flat lever mechanisms. Proceedings of the Voronezh State University of Engineering Technologies. 2016;(2):87-94. (In Russ.) https://doi.org/10.20914/2310-1202-2016-2-87-94

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ISSN 2226-910X (Print)
ISSN 2310-1202 (Online)