制动盘ODS工作变形测量 Measuring Operational Deflection Shapes of a Brake Rotor


 

汽车在运行过程中会受到各种力的作用, 来自发动机或路面的振动会通过车辆的底盘和悬架传递到车辆最重要的机械部件——制动系统。 在此案例中(左图所示),使用VIC-3D HS-FFT振动分析技术对重型卡车直径为14英寸的制动盘进行了瞬时激励和分析。 由于所有在3,000Hz以下的工作变形(ODS)都令人关注,因此使用了6,250帧/秒的高速摄像机来采集过程图像。
Automobiles are subject to many forces during operation. Vibrations from the engine or the road-surface transmit through the vehicle’s chassis and suspension to the most essential mechanical component of the vehicle, the brake system. In this example (setup seen left), a 14” diameter brake disc from a heavy-duty truck was transiently excited and analyzed with the VIC-3D High Speed FFT Vibration Analysis technology. Because all operational deflection shapes (ODS’s) under 3,000Hz were of interest, a framerate of 6,250fps was used to capture images with high speed cameras.
 
在计算频域数据之前,需要标准VIC-3D DIC分析以获得全场位移数据。在提取测量的全场位移数据后,通过快速傅立叶变换(FFT)对处理制动盘表面上每个点在时域的位移历史数据进行全局降噪处理。 FFT处理后的数据显示了制动盘表面的全场振幅以及x,y和z方向上每个频率对应的平均振幅,以便于识别。 根据这些数据,可以使用VIC-3D HS-FFT软件轻松识别三阶特殊的工作变形信息(ODS)并对其进行动画处理,以进行进一步的分析。
Before frequency domain data could be computed, displacement data needed be obtained via the standard VIC-3D DIC analysis. After the displacement data was measured, a Fast Fourier Transformation (FFT) was applied to the time-history of the displacement data for each point on the surface of the brake rotor. The FFT data then displayed full-field amplitudes of the surface of the brake rotor and the average amplitude at each frequency in the x, y, and z directions for easy identification. From this data, three unique operational deflection shapes (ODS’s) were easily identified and animated for further analysis using the VIC-3D HS-FFT software.
 
通过图像可识别出三阶振型分别在120.0Hz,932.7Hz和2,087.4 Hz。 这些频率如左图中显示(离面振幅与频率的关系曲线中)。 右图显示了时域中的离面位移信息。 该信息非常重要,因为它显示了出现大的平均振幅所对应的频率、试件被激励后的实际位移量以及对应图像的时间。
Three shapes were found to be at frequencies 120.0Hz, 932.7Hz, and 2,087.4 Hz. These frequencies are seen in the left graph (out-of-plane amplitude vs. frequency). The right graph shows the out-of-plane displacement in the time domain. This information is important because it displays frequencies where large average amplitudes occur, and how much the specimen actually displaces after the excitation, and the duration of image capture.
 

 

 

Figure 1. The Maxima tab in the FFT Workspace shows a graph of each data point’s maximum amplitude and maximum frequency in the z direction on the left. On the right, a plot of frequency vs. average amplitude is shown.

 

图2显示了在120.0Hz处的一阶工作变形。 全场云图显示了该频率下的离面运动和相位信息。 如以下云图与曲线所示,在120Hz一阶振型下测得的平均振幅为84纳米。

Figure 2 shows the first operational deflection shape at ~120.0Hz. The full-field plots show the out-of-plane motion and phase at this frequency. An average amplitude of 84 nanometers was measured as the ODS at ~120Hz, as seen in the plots and graphs below.

 
 

Figure 2. The full-field deflection shape, phase, frequency, and average amplitude of the brake rotor at 120.0Hz.

 

离面运动如以下的3D动画处理中所示,更好地显示最大值、最小值和ODS工作变形的节点。 对应该频率下,制动盘的总振幅约为+/- 268纳米。

The out-of-plane motion is animated in 3D below to better show the maximum values, the minimum values, and the nodes of the operational deflection shape. At this frequency, the brake rotor experienced a total out-of-plane deformation of approximately +/- 268 nanometers.

 
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Figure 3. Animated 3D view of the brake rotor at 120.0Hz
 
 
 

图4更详细地显示了在932.7Hz处的二阶工作变形。 以下云图的左图和右图分别显示了该频率下的振幅和相位信息。 如左图所示,该ODS的平均振幅为183纳米。

Figure 4 shows the second operational deflection shape at 932.7Hz in greater detail. The full-field left and right plots show the out-of-plane shape and phase respectively at this frequency. An average amplitude of 183 nanometers was measured for this ODS, as seen in the left graph.

 

Figure 4. The full-field deflection shape, phase, frequency, and average amplitude of the brake rotor at 932.7Hz.

 

离面运动如以下的3D动画处理中所示,更好地显示最大值、最小值和ODS工作变形的节点。 对应该频率下,制动盘的总振幅约为+/- 375纳米。

The out-of-plane motion is animated in 3D below to better show the maximum values, the minimum values, and the nodes of the operational deflection shape. At this frequency, the brake rotor experienced a total out-of-plane deformation of approximately +/- 375 nanometers.

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Figure 5. Animated 3D view of the brake rotor at 932.7Hz

 
 

图6显示了在2,087.4Hz处的三阶工作变形。以下云图的左图和右图分别显示了该频率下的振幅和相位信息。如左图所示,该ODS的平均振幅仅为25纳米。

Figure 6 shows the third operational deflection shape at at 2,087.4Hz. The full-field left and right plots show the out-of-plane motion and phase respectively at this frequency. An average amplitude of only 25 nanometers was measured for this ODS, as seen in the left graph.

 

Figure 6. The full-field deflection shape, phase, frequency, and average amplitude of the brake rotor at 2,087.4Hz.

离面运动如以下的3D动画处理中所示,更好地显示最大值、最小值和ODS工作变形的节点。 对应该频率下,制动盘的总振幅+/- 64纳米。

The out-of-plane motion is animated in 3D below to better show the maximum values, the minimum values, and the nodes of the operational deflection shape. At this frequency, the brake rotor’s ODS was measured to have an out-of-plane amplitude of +/- 64 nanometers as shown in the animation below.

 
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Figure 7. Animated 3D view of the brake rotor at 2087.4Hz

 

对于该测试,测得的离面振幅噪声信号约为4纳米,这非常理想。该系统还在频域数据中显示出卓越的动态范围。 为了进行更深入的分析,可以将平均测量值与参考点、提取点进行比较。 为了轻松进行有限元分析和模态分析验证,可以通过动画、.csv和其他各种格式导出全局的3D数据。

For this test, the out-of-plane amplitude noise signal was measured to be approximately 4 nanometers, which is excellent. The system also shows excellent dynamic range in the frequency domain. For a more in-depth analysis, the average measurements can be compared to reference points and point extractions. For easy finite element analysis and modal analysis validation, the full-field 3D data can be exported in the form of animations, .csv’s, and other various formats.

 
 

 

Figure 8. VIC-3D Workstation Cart PC Control System (optional upgrade)

该案例表明,VIC-3D HS-FFT系统可以实现幅度小至64纳米、频率超过2,000Hz的振动测量,每个时间步可以获取多达百万个数据点。 与传统和激光测量技术相比,这种非接触式全场测量工具可在更短的时间内提供更多数据且无需定频激励。 VIC-3D HS-FFT系统可分析和呈现任何瞬态事件中一次激发后在不同频率下的多阶ODS工作变形信息。 此外,系统同步处理获取的高价值的全场3D应变和位移数据可与振动数据一起显示。

This example shows that measurements with amplitudes as small as 64 nanometers and frequencies over 2,000Hz with up to 1 million data points at every time step are achievable. Compared to traditional and laser measurement techniques, this non-contact full-field measurement tool provides more data in less time. The VIC-3D HS FFT system analyzes and displays multiple operational deflections shapes at different frequencies after a single excitation from any transient event. Furthermore, the system concurrently computes valuable 3D strain and displacement data that can be displayed alongside the vibration data.

 

 

相关链接Links

 

View the VIC-3D HS-FFT for more information about this technology.