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本文以某生产厂家的一台数控双主轴车床为研究对象，根据齐次坐标变换原理，推导出了该机床的几何误差和热误差的综合数学模型。在此数学模型中包括了该机床几何误差和热误差的２３个误差因子。经基于此误差综合数学模型的补偿，工件之间的尺寸变化可从原来的６０μｍ以上降低到１４μｍ，工件的锥度变化可从５０μｍ／ｃｍ以上降低到１５μｍ／ｃｍ，大幅度地提高了机床的加工精度。
In this paper, a manufacturer of a CNC double spindle lathe as the research object, according to the principle of homogeneous coordinate transformation, the mathematical error of the machine tool and thermal error synthesis mathematical model. The mathematical model includes 23 machine error and thermal error of the 23 error factors. Based on the compensation of the mathematical model of the error, the dimensional changes between the workpieces can be reduced from above 60μm to 14μm, and the taper variation of the workpieces can be reduced from above 50μm / cm to 15μm / cm, greatly improving the machining of the machine tool Accuracy.