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

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

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

Keywords

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.
Published
May 26, 2023
How to Cite
HALANAY, Andrei; SAFTA, Carmen A.. Stability and accuracy of steady-state motions in loaded copying system: analytical approach. Computer Assisted Methods in Engineering and Science, [S.l.], v. 6, n. 1, p. 107-113, may 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1328>. Date accessed: 21 nov. 2024.
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Issue
Vol 6 No 1 (1999)
Section
Articles
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