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

• Autorzy: Halanay A. , Safta C. A.
• Języki publikacji: EN

Abstrakty

EN

An analyticalstudy 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.

Słowa kluczowe

EN

mathematically modelling; steady-state motion; hydromechanics

PL

modelowanie matematyczne; ruch ustalony; hydromechanika

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 1999
• Tom: Vol. 6, No. 1
• Strony: 107--136
• Opis fizyczny: Bibliogr. 10 poz., rys., tab., wykr.

Twórcy

autor

Halanay A.

• University 'Politehnica' of Bucharest, Department of Mathematics I, 77206 Bucharest, 313 Splaiul Independentei, Romania

autor

Safta C. A.

• University 'Politehnica' of Bucharest, Department of Hydraulics and Hydraulic Machinery

Bibliografia

• [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. Hydraulic 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 Hydraulic Servosystems and Pipelines. Elsevier, 1980.
• [6] T.J. Viersma. Investigation on Into the Accuracy of Hydraulic Servomotors. Thesis, Techniche Hageschool, Delft, 1961.
• [7] B.A. Helouvry. Stick Slip and Control in Low-Speed Motion. IEEE Transactions on Automatic Control, 38(10): 1483-1495, 1993.
• [8] B.D. Hassard, N.D. Kazarinoff and Y-H. Wan. Applications of Hopf Bifurcation. Cambridge Univ. Press, Cambridge, 1981.
• [9] J. Kusznetsov. Elements of Applied Bifurcation Theory, Springer-Verlag, New York, Berlin, 1995.
• [10] A. Halanay, C.A. Safta. Existence and stability of normal motions in loaded hydraulic copying systems with periodic inputs. [to appear] In: ZAMM.