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物联网-智慧传输-基于时栅传感器的精密蜗轮副动态检测技术研究.pdf
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物联网-智慧传输-基于时栅传感器的精密蜗轮副动态检测技术研究.pdf
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ABSTRACT
Worm gear and worm transmission has the characteristic of high transmission ratio, good
stationarity, low noise, compact construction and self-locking for requirement, which has wildly
applied to machinery processing and manufacturing industries, especially in precision mechanic and
precision instrument manufacture. Measured worm gear transmission errors can describe accuracy
parameters synthetically.
Research team designed a “full microcomputerized test system of gear machine accuracy”
(FMT) in 1991, which combines circle magnetic encoders of bearing spring to realize transmission
chain errors measurement. This measuring system has been successfully applied to fault diagnosis of
machine tools for many years. With the development of microelectronic technology, traditional
computers in the 90s are replaced by advanced ones with novel hardware. In addition, DOS
operating system is update to Windows operating system. In sensor field, magnetic encoders are
gradually withdrawn from the market for some reasons. Currently the most common used
displacement sensor is optical grating, but advanced optical gratings are rely on import, So the price
is much high, and some optical gratings with certain accuracy are under import restriction, which is
the key to restrict the manufacturing industry of detecting instruments and numerical control system.
Time grating displacement sensors are original inventions with proprietary intellectual property
rights, which have the characteristic of high accuracy, low cost, strong anti-interference and so on.
They are mainly applied to measurement field in industrial production.
On the one hand, research work adopt new technology to realize a novel FMT system based on
original FMT system; On the other hand, in order to remain past several decades of transmission
error measurement experience with incremental sensors, original absolute angular signal outputted
by time grating sensors should be transformed to incremental pulses of spatial equal division. In this
way, a novel FMT system based on absolute time grating sensor is designed. So this measurement
system can be applied to transmission error measurement with high accuracy and low cost, as well as
the transmission accuracy measurement of machine tool.
Main research content and innovations are as follow:
1. A forecasting method is employed to dynamic measurement with time grating displacement
sensor. According to analysis on series of measured data for certain space with time grating
displacement sensor, the future measurement data can be forecasted. In this way, absolute time
grating sensors can be transformed to incremental ones.
2. The principles of identification, checkout, optimization, adaptive ordering and parameter
estimation of forecasting model are discussed in this paper. Series of discrete measured angles
sampled in equal time interval by time grating can be regarded as time series. So according to time
series model and methods, forecasting model can be established to generate continuous spatial angle
displacement. In this way, time discretization can be transformed into spatial discretization for
measured data of time grating.
3. The principles and technology of dynamic measurement errors correction are discussed.
Measured data of time grating can be regarded as discrete normalized value which is employed to
correct forecast errors in real time. And stationary time series can be obtained with difference for
measured angles of time grating sensors. Established AR model can be applied to high accuracy
forecast for time grating. Experiment results prove that dynamic forecast errors can be restrict within
±2″.
4. The synchronous comparison principles of transmission error and corresponding
displacement are discussed, as well as sampling principle of FMT system. Multi-level clock
interpolation principle and adaptive algorithms are presented based on original subdivision principle
of FMT system to improve the accuracy of transmission errors to greatest extent under various
measurement environments.
5. Based on analyzing the characteristics of the fixtures of measurement sensors for traditional
transmission error measurement system, shift level mode structure is adopted for the fixtures of
upper sensors. In order to eliminate installation eccentric, soft algorithms are adopted to process
measurement curves for different position of shift level.
6. A novel FMT system based on time grating sensors:
① The design of large worm gear measuring system. This measuring system offers
measurement methods to the integrated accuracy of large worm gear. In addition, measurement
results can feedback to processing chain and guide industrial production.
② The improvement of small worm gear measuring system. Original gear integrated errors
measuring systems are improved with time grating sensors. Then realize integrated errors
measurement for small worm gear.
③ The design of online measuring system for worm gear process. This measuring system can
be applied to machining and on-line testing, which avoid errors caused by multiple installation
during machining and testing process. In addition, transmission accuracy testing during machining
can ensure that machining parameters can be adjusted in real time to achieve high precision
machining fast.
④ Combining measuring systems with Carla Henrique KeFu error transfer rule, the
transmission accuracy of hobbing machine can be analyzed systematically. And error correction
methods are analyzed and obtained with known artificial errors. Finally, according to the
characteristic of error, a general hobbing machine can be improved into a high precision worm gear
tool.
⑤ Accuracy improvement of worm grinder. According to analyzing transmitted chains of worm
grinder, transmission accuracy can be improved with eccentric gears.
The researches above in thesis have been summarized as fig.1-fig.2 showed on page 11.
Key words: worm gear, transmission error, time grating ,time series, forecasting measurement, AR
model, FMT system.
插图清单
图 1-1 有文献介绍的传动链误差测量仪器分类 ...............................................................................8
图 1-2 本论文所反映的研究工作概要图 .........................................................................................11
图 2-1 TE 推导图 ...............................................................................................................................13
图 2-2 传动误差与传动比误差关系图 ............................................................................................15
图 2-3 处理后的采样点拟合成连续曲线 ........................................................................................16
图 2-4 基础端角度等分计算比较端对应角度示意图 ....................................................................17
图 2-5 处理后的 TE 曲线 .................................................................................................................17
图 2-6 增量式传感器测量 TE 采样周期示意图..............................................................................19
图 2-7 实际采样周期波形对比关系 ................................................................................................19
图 2-8 测幅细分法............................................................................................................................21
图 2-9 分频比相法............................................................................................................................21
图 2-10 小数细分法..........................................................................................................................22
图 2-11 用脉冲信号表示的位移时空图 ..........................................................................................23
图 2-12 传统的传动误差测量仪原理图 ..........................................................................................25
图 2-13 全微机化传动误差检测系统原理框图 ..............................................................................26
图 2-14 采样时序图..........................................................................................................................28
图 2-15 上世纪末开发的 FMT 系统 ................................................................................................28
图 2-16 传动误差测试曲线及其频谱图 ..........................................................................................29
图 2-17 片簧包顿管联轴节 ..............................................................................................................32
图 2-18 片簧联轴节..........................................................................................................................33
图 3-1 空间测量位移的理想数学模型 .............................................................................................36
图 3-2 空间测量法测量位移实际方法 ............................................................................................36
图 3-3 时间测量位移的理想数学模型 ............................................................................................37
图 3-4 相对运动的火车测量位移原理 ............................................................................................38
图 3-5 单齿式时栅位移传感器原理图 ............................................................................................42
图 3-6 场式时栅原理.........................................................................................................................44
图 3-7 高频时钟脉冲细分实现位移测量 ........................................................................................44
图 3-8 时栅传感器实物图 ................................................................................................................45
图 3-9 时栅数显分度转台 ................................................................................................................46
图 3-10 时栅数控分度转台 ..............................................................................................................46
图 3-11 时栅数控空心分度转台 ......................................................................................................46
图 4-1 二级时钟插补示意图 ............................................................................................................48
图 4-2 系统下位机框图 ....................................................................................................................50
图 4-3 FPGA 顶层设计图..................................................................................................................51
图 4-4 计数器模块内部结构图 ........................................................................................................52
图 4-5 单路计数器结构图 ................................................................................................................52
图 4-6 可控时钟模块结构图 ............................................................................................................53
图 4-7 数据采集模块的电路图 ........................................................................................................53
图 4-8 数据传输模块电路原理图 ....................................................................................................54
图 4-9 上位机软件处理框图 ............................................................................................................55
图 4-10 调周期式信号仿真盒及其采样曲线 ..................................................................................57
图 4-11 实测信号仿真盒现场 ..........................................................................................................57
图 4-12 实测信号仿真盒波形图 ......................................................................................................58
图 4-13 实验台照片和传动链图 ......................................................................................................58
图 4-14 实验台测试曲线 ..................................................................................................................59
图 4-15 时栅预测测量原理 ...............................................................................................................61
图 4-16 测试系统原理框图 ..............................................................................................................76
图 4-17 标准量插入法分离误差 .......................................................................................................77
图 4-18 离散标准量插入法实时误差修正原理 ..............................................................................77
图 4-19 时栅角度位置动态预测 ......................................................................................................78
图 4-20 预测与误差修正方法 ...........................................................................................................79
图 4-21 自适应 AR 模型构成............................................................................................................80
图 4-23 时栅角度曲线 .......................................................................................................................81
图 4-24 时栅速度曲线......................................................................................................................82
图 4-25 时栅加速度曲线 ..................................................................................................................82
图 4-26 加速度一阶差分处理后的曲线 ...........................................................................................82
图 4-27 预测效果图...........................................................................................................................83
图 4-28 预测残差曲线 .......................................................................................................................83
图 4-29 主程序流程图......................................................................................................................84
图 4-30 中断程序流程图 ...................................................................................................................85
图 5-1 仪器结构意图.........................................................................................................................88
图 5-2 检查仪实物图.........................................................................................................................88
图 5-3 计数器引入的最大误差 ........................................................................................................90
图 5-4 机械移相法所示意图 .............................................................................................................91
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