Existence and stability of normal motions in loaded hydraulic copying systems with periodic and composed inputs

Authors
Halanay, A Safta, CA
Citation
A. Halanay et Ca. Safta, Existence and stability of normal motions in loaded hydraulic copying systems with periodic and composed inputs, Z ANG MA ME, 80(2), 2000, pp. 93-101
Citations number
11
Categorie Soggetti
Mechanical Engineering
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN journal
00442267 → ACNP
Volume
80
Issue
2
Year of publication
2000
Pages
93 - 101
Database
ISI
SICI code
0044-2267(2000)80:2<93:EASONM>2.0.ZU;2-P
Abstract
We prove that if a hydraulic copying servomechanism subject to a periodic c utting force has as an input a combination of step. ramp, and sin and cos f unctions then an output of lire same form (normal motion) exists under cert ain constraints. We investigate the stability of the normal motion by the L yapunov-Malkin methods as the valve of the underlap spool valve varies.