Analysis of a High-Speed Solenoid-Actuated Mechanism

Abstract

The mechanism which is considered in this paper is a high-speed, solenoid-driven, impact printing mechanism. The purpose of the analysis is to construct a mathematical model of the mechanism from which the dynamics of the mechanism can be studied during a complete printing cycle. The basic approach taken is to construct a lumped parameter model of the mechanical system. Motion equations are written which are solved simultaneously with equations governing the electromagnetic system. Elements of the mechanical system which are described include viscoelastic buffers between impacting parts. Dead space or intermittent contact between parts is another aspect of the problem which is defined. The relationship between core flux and impressed current is established through an experimentally measured magnetization curve. Equations governing both the rise and fall of the magnetic flux are developed since a complete cycle of operation is under study. The resulting set of equations is nonlinear in nature and impractical to solve by hand. However, a systematic solution to the equations is readily obtained by numerical integration on a digital computer.