An extensive study on the implementation of the convolution based impulse dynamic subspace (IDS) concept for machining applications is presented in this paper. The suggested method is adequate to avoid modeling based on modal parameters. Instead of parameter driven dynamical modeling, the impulse response functions (IRFs) are used for the IDS decomposition and for constructing the corresponding delayed and, on occasion, time periodic equations of motion of regenerative cutting processes. This approach makes possible to use measured frequency response functions (FRFs) in time domain based methods. This is achieved by establishing the connection between the IRF and the fundamental matrix of the corresponding linearized generally time periodic delayed system. It is shown that the concept provides the well-known analytic solution of the orthogonal turning model, demonstrating the applicability of the proposed methodology, while a specially tailored high-order semidiscretization scheme is tested on milling models.

本文对在加工应用中基于卷积的脉冲动态子空间（IDS）概念的实现进行了广泛的研究。建议的方法足以避免基于模态参数进行建模。代替参数驱动的动力学建模，脉冲响应函数（IRF）用于IDS分解，并用于构造再生切削过程的运动的相应延迟的（有时是时间周期的）运动方程。这种方法使得可以在基于时域的方法中使用测得的频率响应函数（FRF）。这是通过在IRF和相应的线性化的一般时间周期延迟系统的基本矩阵之间建立连接来实现的。