To study the interior ballistic characteristics of multi-stage inductive coil gun such as the acceleration process,force and overload at the armature, the mathematical model was built based on the theory of electromagnetic field, and then the governing equations and calculation method of electromagnetic force on armature were given. The three-stage inductive coil gun was simulated based on the coupling model of field and circuit. The maximum overload obtained by the simulation model is 15 000g. The results show that the armature suffers great overload during launching process, and the direction of the electromagnetic force on armature reverses in motion. The reverse time of electromagnetic force will be brought forward with the increase of armature velocity, and the brake force will increase, and the acceleration force will decrease.%为研究多级感应线圈炮中电枢的受力、加速和过载等内弹道特性,基于电磁场理论,建立了同步感应线圈炮的数学模型,并给出了线圈炮的控制方程和电磁力计算方法.结合场路耦合模型,对3级感应线圈炮进行了有限元仿真.该仿真模型得到的最大过载可达15 000g.仿真分析表明：发射过程中,电枢不仅会受到很大的过载,而且其受到的电磁力在运动中会发生反向;随着电枢速度的提高,电磁力反向时刻不断提前,电磁制动力不断增大,加速力不断减小.
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