Stability and accuracy of steady-state motions in loaded copying system: analytical approach

Authors

  • Andrei Halanay University Politehnica of Bucharest
    Romania
  • Carmen A. Safta University Politehnica of Bucharest
    Romania

Abstract

An analytical study of stability is made for a hydromechanical servomechanism used in copying systems. In the framework of a nonlinear system of ODE mathematically modelling the servomechanism, we prove that for a ramp input the steady-state solution bifurcates into a stable limit cycle for a certain value of the underlap spool valve

References

[1] A. Halanay, C.A. Safta. Periodic motions for loaded two control edges hydraulic copying systems. Comput. Methods Appl. Mech. Engrg., 158(3-4):367-374, 1998.
[2] A.V. Lescenko. Hydmulic Copying Devices [in Russian] . Machinostroienie, Moscow, 1968.
[3] W.M. Mansour, M.O.M Osman, G.M.L. Gladwell. Stability and kinematic accuracy of hydraulic copying mechanisms in metal cutting. Transaction of the ASME-Journal of Engineering for Industry, 95, Series B(2):787- 793, 1973.
[4] S. Sankar, M.O.M. Osman. On the Dynamic Accuracy of Machine-Tool Hydraulic Copying Systems. Transaction of the ASME-Journal of Engineering for Industry, 96, Series B(2):518-524, 1974.
[5] T.J. Viersma. Analysis, Synthesis and Design of Hydmulic Servosystems and Pipelines. Elsevier, 1980.

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Published

2023-05-26

Issue

Vol. 6 No. 1 (1999)
pp. 107-113

Section

Articles

License

Copyright © The Author(s).

This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.

How to Cite

Halanay, A., & Safta, C. A. (2023). Stability and accuracy of steady-state motions in loaded copying system: analytical approach. Computer Assisted Methods in Engineering and Science, 6(1), 107-113. https://cames3.ippt.pan.pl/index.php/cames/article/view/1328