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以无阀气动冲击机构为例，推求了气动冲击机构动力过程的无量纲运动做分方程。分析表明，无量纲方程给动力过程的数值求解会带来很大方便，而且无量纲方程还揭示了动力过程的相似准则。这种方程描述的不是具体的某一组系统参数下的动力过程，而是满足相应的相似准则的所有系统的动力过程
Taking the valveless pneumatic impacting mechanism as an example, the dimensionless motion of the pneumatic impact mechanism is deduced as a fractional equation. The analysis shows that the dimensionless equation can bring great convenience to the numerical solution of the dynamic process, and the dimensionless equation also reveals the similarity criterion of the dynamic process. This equation does not describe a specific set of system parameters under the dynamic process, but to meet the corresponding similarity criteria for all systems of the dynamic process