February 2013 / Volume 65 / Issue 2 The science of milling sounds By Dr. Scott Smith, University of North Carolina at Charlotte Milling sounds range from loud to quiet, and experienced machinists often use those sounds to judge what is occurring in the cutting zone. It is difficult to position a sensor such as an accelerometer or a displacement probe close to the cutting zone, and it is often a challenge to see the cutting zone, but the sounds are pervasive. Some of the sounds are normal—and expected—and some indicate trouble, but how can you tell which are which? The sounds are often sorted by their frequency, or pitch. Sound can be measured using a microphone and sorted into frequencies using a Fourier analyzer. This device takes a time-varying sound signal as an input and outputs a graph that shows the composition of the sound as a number of frequencies with different intensities. Courtesy of All images: Manufacturing Laboratories Inc. Figure 1. The red hatched area in this stability lobe diagram indicates chatter, and the white area indicates stable machining. Figure 2. The red bull’s eye in the Harmonizer chatter control product, which detects chatter using the sound signal measured with a microphone, indicates the presence of chatter at a frequency slightly higher than 5,600 Hz when cutting with a 2-flute, 8mm-dia. tool. The top part of the figure shows sound magnitude (loudness) vs. frequency. The horizontal red line is a threshold, so that background noise does not trigger the system. The bottom part of the figure shows the sound signal vs. time, and the box surrounds the sound of the cut. The software is partway through an optimization process, and the most recent cut was at 40,167 rpm. The check in the harmonic filters checkbox indicates the “normal sounds” have been removed from this picture. Normal situations include: 1. The sound of tool teeth hitting the workpiece. These impacts cause forces that make the cutting tool and workpiece vibrate, which produces the sound. The tooth-impact frequency is given by ft = n × m ÷ 60, where n is the spindle speed in rpm, m is the number of teeth on the tool and ft is the tooth-impact frequency in cycles per second, or Hz. For example, if the tool has two teeth and the spindle speed is 13,200 rpm, the tooth impact frequency is 440 Hz, which, for the musically inclined, is the note A above middle C. 2. Integer multiples of the tooth-impact frequency. Because the cutting force is not purely sinusoidal, there are frequency components that are exact integer multiples of the tooth-impact frequency (2 × 440 = 880 Hz, 3 × 440 = 1,320 Hz and so on for the previous example). These integer multiples of the tooth-impact frequency are called “harmonics,” and, because they are directly related to the tooth-impact frequency, the sound produced is very pure and “clean,” like a single note. 3. Runout frequencies and harmonics. Because the cutting tool is not exactly centered in the spindle and the teeth are not exactly the same, there is also a sound produced at a frequency once per revolution and integer multiples of that frequency. For the previous example, the runout frequency would be 220 Hz. A major characteristic of these normal sounds is that they change linearly with the spindle speed, because they are all forced vibrations directly driven by the rotating spindle. Chatter is the main sound that indicates trouble. Chatter is a different kind of vibration, called a self-excited vibration. If the cutting tool vibrates as a tooth passes through the workpiece, the tooth imparts a wavy surface. The next tooth encounters the wavy surface, which generates a variable force, and causes more vibration. Chatter happens at frequencies near and a little above the natural frequencies of the machine-tool-and-workpiece system. Whether or not chatter occurs for a particular combination of machine, cutting tool and workpiece strongly depends on the spindle speed and axial and radial DOC. The map of stable and chatter conditions is called a stability lobe diagram (Figure 1). Chatter is often loud and sometimes scary for machinists because it can lead to workpiece damage and broken tools. So, it would be helpful to automatically detect chatter, and the frequency of the sound provides a way. The chatter frequency is not linearly proportional to the tooth impact frequency or runout. The sound it makes is not “pure” and often is harsh or raspy. Figure 2 shows the sound measured during a chattering cut. The lower part of the figure shows the time-varying microphone signal, and the cutting sound is contained in the blue window. The upper part of the figure shows the loudness of the frequencies contained in the sound signal (the output of the Fourier analyzer). The software used to make this measurement flags loud sounds that are not in the normal group as chatter. In this case, a red bull’s eye marks chatter, with a frequency slightly higher than 5,600 Hz. The pervasiveness of the cutting sound is useful, as is the clear distinction between normal and chatter sounds. The sound of milling is easy and inexpensive to measure, and measurement provides a quick and simple way to detect chatter during the cut. CTE About the Author: Dr. Scott Smith is a professor and chair of the Department of Mechanical Engineering at the William States Lee College of Engineering, University of North Carolina at Charlotte, specializing in machine tool structural dynamics. Contact him via e-mail at kssmith@uncc.edu. CUTTING TOOL ENGINEERING Magazine is protected under U.S. and international copyright laws. Before reproducing anything from this Web site, call the Copyright Clearance Center Inc. at (978) 750-8400.