The situation about the dynamic performances of spindle of machine tool is summarized.Then

the principle of machine tool spindle transmission is analyzed and predigested.The physical model about it is got and the elementary theory of linear graph is dissussed.The linear graph model is constructed based on the physical model.Afterwards

the detailed reasoning to arithmetic of the linear graph model is done.The result shows that it is simple and feasible to use linear graph to analyze the arithmetic of machine tool spindle transmission system.The dynamic situation on the speed of spindle and the electromotor

and the dynamic situation on the torsion of spindle

the speed of electromotor and the load on spindle are analyzed and calculated through the final state equations.