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The present paper deals with a method to estimate thermal deformation of spindle of a machining center based on the temperature changes measured at the spindle head. It is confirmed by experiments that the nominal time constant of the thermal deformation due to the heat input caused by the spindle rotation is much influenced by the rotational speed of the spindle as a consequece of changes in the heat transfer coefficient between the spindle and the ambient. The relation between the time constant of thermal deformation and the rotational speed of the spindle is obtained experimentally for various rotational speeds. The results are summarized as the transfer function coefficients. A method is proposed to estimate the equivalent heat input based on the temperature change at the spindle heat by utilizing the measured transfer function, and then estimate the thermal deformation of the spindle based on the equivalent heat. The validity of the proposed method is proved by experiments applied to two kinds of machining centers.

nihon kikai gakkai ronbunshū. c

Estimation of Thermal Displacement of Machine Tool Spindles for Mass Production (2nd Report, Estimation of Thermal Displacement Under Varying Rotational Condition of Spindle)