
Accession Number : AD0288008
Title : FORCED OSCILLATIONS AND CONVEX SUPERPOSITION IN PIECEWISELINEAR SYSTEMS
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : FLEISHMAN,B.A.
Report Date : AUG 1962
Pagination or Media Count : 1
Abstract : Several aspects of the theory of forced oscillations of piecewiselinear systems are considered. The general problem of determining such periodic solutions is formulated and the principal methods of solving the problem are described briefly. By way of illustration, forced periodic solutions of the simplest kind are determined for a secondorder onoff system subject to a sinusoidal external force. Piecewiselinear systems are shown to possess a property of convex superposition with respect toANY SET OF RESPONSES (to different excitations) which are synchronous, i.e., are in phase as they switch from one linear branch of the piecewiselinear function to another. Finally, for sets of periodic responses which are almost synchronous, a conjecture is offered concerning approximate superposition; in this connection the example involving the secondorder system is reconsidered. (Author)
Descriptors : *DIFFERENTIAL EQUATIONS, *FUNCTIONS(MATHEMATICS), DAMPING, LINEAR SYSTEMS, OSCILLATION
Distribution Statement : APPROVED FOR PUBLIC RELEASE