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为了研究数控机床运行状态是否具有混沌特性,以数控机床主轴为研究对象,以机床主轴振动时间序列为采集数据,通过选取合适的延迟时间τ和嵌入维数m,对数据进行向空间重构,从而用单一的系统输出时间序列来构造一组表征原系统动力学特性的坐标分量。通过求其最大Lyapunov指数是否大于0来判断机床运行状态是否具有混沌特性。
In order to study whether the running status of CNC machine tools has the chaos characteristic, taking the CNC machine tool spindle as the research object and the machine tool spindle vibration time series as the collected data, the data is reconstructed to the space by selecting the appropriate delay time τ and embedding dimension m, Thus, a single system output time series can be used to construct a set of coordinate components that characterize the dynamics of the original system. By determining whether the maximum Lyapunov exponent is greater than 0, it is judged whether the machine running state has the chaos characteristic.