A model for a “characteristic grain” consisting of the superimposition of a large and a small wavelength has been introduced. The large wavelength representing the grain has been used in establishing the elastic deflection of the grain. Due to the elastic deflection, the small wavelength representing the cutting edges cuts a smaller “characteristic groove” on the surface, which provides a prediction of the rms value of the ground surface. Specific energy of grinding can also be predicted. The theoretical expressions for the deflection of the grain and for the rms values are developed from this model and found to agree very well with the values obtained by experiments. With an online measurement of the wheel profile, this approach has potential in computer control of grinding.

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