In this paper, the steady state dynamics of a centerless grinding machine and work piece has been examined. A model of a centerless grinding system which allows both the deflection of the work piece center and the deformation of the grinding machine frame has been developed. Two instabilities are demarcated • work piece surface generation instability, and • grinding process instability. Both the generation and the grinding stability of self-excited vibrations are investigated. Stability limits are defined using the characteristic equations of the system. The main factors that influence the limit of stability of the machine, and the transversal profile of the work piece have been shown to be • the relative position of the grinding wheel, regulating wheel and support blade of the work piece; • the width of the grinding wheel; • the harmonic response of the grinding machine frame.

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