齿轮故障信号多重分形维数的形态学计算方法
李兵;张培林;米双山;刘东升;任国全
【期刊名称】《振动、测试与诊断》 【年(卷),期】2011(031)004
【摘要】针对传统的多重分形维数计算方法的缺陷,提出基于数学形态学操作的多重分形维数计算方法,并证明了与盒计数法计算多重分形维数的一致性.对实际的齿轮正常、齿面磨损故障和断齿故障信号进行了分析,结果表明,与盒计数法相比,基于数学形态学计算的多重分形维数能够准确区分齿轮的工作状态,并且数学形态学只涉及简单的加减和取大、取小运算,计算更加简单、快速.%In order to overcome the deficiency of the traditional calculation method of the multifractal, a mathematical morphology based on multifractal estimation technique is proposed in this study. Signals acquired from different types of gear condition, I.e. Normal condition, gear tooth wear fault and gear tooth broken fault, are employed to evaluate this new method. Results have revealed that the multifractal dimensions calculated by mathematical morphology are very stable and have a superior capacity to distinguish the different gear states. Otherwise, mathematical morphology operation containes only the simple addition, subtraction, maximum and minimum which can dramatically reduce the computation cost compared to other technique. Thus the proposed method has demonstrated a more fast and effective technique for accurate fault diagnosis of gear.
齿轮故障信号多重分形维数的形态学计算方法
