ABSTRACT This paper develops a mathematical modeling procedure for pneumatic nailing devices. The representation integrates all the operation phases composing the nailing process. The model accounts for the dynamics of the chamber pressures, the moving parts, the nonlinear interactions and impacts between the fixed and moving components, and includes the nail gun body and workpiece. All the system parameters integrated into the proposed model were established from experimental measurements. This model also integrates a nonlinear empirical formulation to predict the nail penetration resistance force. The final representation is validated through a comparison of the predicted piston motion and air pressures to experimental measurements made on a specific nail gun. The average of the percent error established at important time positions is lower than 7%.

中文翻译：

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气动打钉装置的非线性动力学建模

摘要 本文开发了气动打钉装置的数学建模程序。该表示集成了构成钉钉过程的所有操作阶段。该模型考虑了腔室压力的动力学、运动部件、固定部件和运动部件之间的非线性相互作用和冲击，并包括射钉枪主体和工件。集成到所提出模型中的所有系统参数都是通过实验测量建立的。该模型还集成了非线性经验公式来预测钉子穿透阻力。通过将预测的活塞运动和气压与在特定射钉枪上进行的实验测量进行比较来验证最终表示。