TW201337233A - Method of monitoring the ball-screw preload variation in a ball-screw feed drive system - Google Patents

Method of monitoring the ball-screw preload variation in a ball-screw feed drive system Download PDF

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TW201337233A
TW201337233A TW101108603A TW101108603A TW201337233A TW 201337233 A TW201337233 A TW 201337233A TW 101108603 A TW101108603 A TW 101108603A TW 101108603 A TW101108603 A TW 101108603A TW 201337233 A TW201337233 A TW 201337233A
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Taiwan
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ball screw
nut
module
screw
ball
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TW101108603A
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Chinese (zh)
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guo-hua Feng
Yi-Lu Pan
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Nat Univ Chung Cheng
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Abstract

The method of monitoring the ball-screw preload variation in a ball-screw feed drive system includes a feed drive system with the ball-screw module, proload-adjustable module, and signal processing module. The ball-screw feed drive system is modeled as a lumped system and the spectrum of the ball-screw and working platform can be found. A MEMS-based vibration sensing system is installed onto the feed drive system to acquire signals. Through the analysis of modeling and experimental results, the ball-screw preload variation can be on-line monitored.

Description

監測滾珠螺桿於進給系統中預壓變化之方法Method for monitoring pre-pressure change of a ball screw in a feed system

本發明係關於一種進給系統預壓變化監測方法,尤指一種監測滾珠螺桿於進給系統中預壓變化之方法。The invention relates to a feed system pre-pressure change monitoring method, in particular to a method for monitoring a pre-pressure change of a ball screw in a feed system.

按,近年來由於製造業對於產品的品質及生產速率要求越來越高,因此,對於高速精密進給驅動系統的發展亦成為被高度重視的技術,其中在進給驅動系統中滾珠螺桿係為一種可將馬達的旋轉運動轉換成一直線運動的技術,在傳動領域方面始終扮演一個很重要的角色,因此,滾珠螺桿的應用已遍及高科技產業到日常生活中,如自動化工業、半導體工業、物流運輸乃至於醫療產業或是其他需要精確定位的設施上。In recent years, due to the increasing demand for quality and production rate of the manufacturing industry, the development of high-speed precision feed drive systems has also become a highly regarded technology. Among them, the ball screw system in the feed drive system is A technology that converts the rotary motion of a motor into a linear motion. It plays a very important role in the field of transmission. Therefore, the application of ball screw has spread throughout the high-tech industry to daily life, such as automation industry, semiconductor industry, logistics. Transportation even in the medical industry or other facilities that require precise positioning.

現有滾珠螺桿的運動機制係藉由滾珠與螺桿、螺帽溝槽間以點接觸的方式進行滾動,相較於傳統滑動式螺桿的螺帽與螺桿間的面接觸,滾珠螺桿低摩擦的傳動方式,具有更高的剛性及較低的軸向背隙,亦可提供一平滑運動特性及長時間的精準度,現有滾珠螺桿在運作時會透過設定不同預壓(preload)的方式,來改變滾珠螺桿的剛性,其中施加預壓係能大幅減小螺桿及螺帽之間的軸向間隙,使滾珠螺桿可達到高解析度的定位能力,另一方面,避免過量預壓亦能減少螺桿運動時所產生的熱能進而維持螺桿的使用壽命現有滾珠螺桿可透過不同方式施加預壓,藉以達到使用者的要求,例如單螺帽式滾珠螺桿利用較大的滾珠提供適量的預壓,或者雙螺帽式滾珠螺桿於螺帽間加入一插梢形成一預壓效果,在滾珠螺桿實際操作時,滾珠的磨耗及破損會降低螺桿於最初出廠時所設定的預壓值,使滾珠螺桿的磨耗較軸承來得高,相對會影響加工時的生產品質,誠有加以改進之處。The movement mechanism of the existing ball screw is rolling in a point contact manner between the ball and the screw and the nut groove. Compared with the surface contact between the nut and the screw of the conventional sliding screw, the ball screw has a low friction transmission mode. With higher rigidity and lower axial backlash, it can also provide a smooth motion characteristic and long-term precision. The existing ball screw can change the ball by setting different preload modes during operation. The rigidity of the screw, in which the pre-stressing system is applied, can greatly reduce the axial clearance between the screw and the nut, so that the ball screw can achieve high-resolution positioning capability. On the other hand, avoiding excessive pre-pressure can also reduce the screw movement. The heat generated thereby maintains the service life of the screw. Existing ball screws can be preloaded in different ways to meet user requirements, such as a single nut ball screw that uses a larger ball to provide a proper amount of preload, or a double nut. The ball screw inserts a tip between the nuts to form a preloading effect. When the ball screw is actually operated, the ball wear and damage will reduce the screw at the beginning. Preload factory set value, so that the wear of the ball screw bearing is more than high, will affect the relative production quality during processing, have to be honest improvement.

為了改善既有滾珠螺桿實際操作時,滾珠的磨耗及破損會降低螺桿於最初出廠時所設定的預壓值,使滾珠螺桿的磨耗較軸承來得高,相對會影響加工時的生產品質的缺失及不足,本發明之目的在於提供一種監測滾珠螺桿於進給系統中預壓變化之方法,其係透過量測滾珠螺桿進給系統之振動訊號,並透過一進給系統數學建模之參數分析與所擷取訊號之數據分析,不僅可讓使用者有效地監測螺桿預壓值的變化,且可經由預壓減少的多寡而間接反映出滾珠的滾動及滑動對於滾珠螺桿的磨耗程度,使滾珠螺桿進給系統可提供一精密加工、進給及定位的功效。In order to improve the actual operation of the existing ball screw, the ball wear and damage will reduce the preload value set by the screw at the time of initial shipment, so that the ball screw wears higher than the bearing, which will affect the lack of production quality during processing. Insufficient, the object of the present invention is to provide a method for monitoring the pre-pressure change of a ball screw in a feed system, which is to measure the vibration signal of the ball screw feed system and analyze the parameters of the mathematical model through a feed system. The data analysis of the captured signal not only allows the user to effectively monitor the change of the preload value of the screw, but also indirectly reflects the degree of wear of the ball by the rolling and sliding of the ball through the reduction of the preload, so that the ball screw The feed system provides a precise machining, feeding and positioning function.

基於上述目的,本發明所運用的技術手段係在於提供一監測滾珠螺桿於進給系統中預壓變化之方法,其係包含有以下的操作步驟:儀器設置:準備一單軸驅動的滾珠螺桿進給系統,其設有一滾珠螺桿模組、一可調式預壓模組、一振動感測模組及一訊號處理模組,該滾珠螺桿模組設有一滾珠螺桿及一工作載台,該工作載台於底面係固設有一與該滾珠螺桿相結合的螺帽座,該螺帽座於外側面凸設有一定位螺套,該可調式預壓模組設於該滾珠螺桿上且設有一主螺帽、一從動螺帽、一盤狀彈簧及一定位螺帽,該主螺帽設於該螺帽座內且與該滾珠螺桿相結合,該從動螺帽套設於該滾珠螺桿上,該盤狀彈簧套設於該滾珠螺桿上且介於該主螺帽及該從動螺帽之間,該定位螺帽與該定位螺套相螺合且與該盤狀彈簧相貼靠,該振動感測模組與設有兩分別設置於該主螺帽及從動螺帽上的振動感測器,該訊號處理模組與該振動感測模組相連接,藉以對於所量測的加速度值進行紀錄及分析;預壓設定:選擇適當的滾珠大小,使該滾珠螺桿模組裝完成時其預壓力值接近零,之後調整預壓值時係透過轉動該定位螺帽而壓縮該盤狀彈簧的方式設定預壓值;動態建模:將該滾珠螺桿進給系統建模成一個集中系統,並將預壓值設定小於額定動態負荷的10%,使主螺帽的剛性能被表示成預壓值及滾珠螺桿額定動態負荷的函數;模擬結果:透過上述的函數計算出滾珠螺桿及工作載台的振動頻譜,其中將滾珠螺桿之螺帽軸向剛性做為一個變數,以檢驗滾珠螺桿的預壓值變化效應,藉以找出相對應的動態變化,由模擬的趨勢顯示螺桿預壓值的下降會造成峰值頻率的下降,該滾珠螺桿的預壓改變可透過監測螺帽的剛性來進行;量測結果:透過該振動感測模組對於該主螺帽及從動螺帽進行振動量測,並透過轉動該定位螺帽使該盤狀彈簧變形的方式,給予該滾珠螺桿模組不同的預壓,並設定一取樣頻率,可得到主螺帽、從動螺帽及工作載台在不同預壓條件時的振動訊號,對於該振動訊號作短時間傅立葉轉換,顯示峰值頻率會隨時間變化且具週期性的特質;以及結果分析:將前述經模擬及量測的結果進行分析,其中經該振動感測模組所量測到的頻譜變化趨勢和模擬結果的峰值頻率變化趨勢具有一致性,經由監測該滾珠螺桿模組的振動訊號而判斷該滾珠螺桿模組的預壓變化。Based on the above objects, the technical means utilized by the present invention is to provide a method for monitoring the pre-pressure change of a ball screw in a feed system, which comprises the following steps: instrument setting: preparing a single-axis driven ball screw into The system is provided with a ball screw module, an adjustable preloading module, a vibration sensing module and a signal processing module, the ball screw module is provided with a ball screw and a working stage, the working load A nut seat is coupled to the bottom surface of the table, and the nut seat is convexly disposed on the outer side surface. The adjustable pre-pressing module is disposed on the ball screw and is provided with a main screw a cap, a driven nut, a disc spring and a positioning nut, the main nut is disposed in the nut seat and combined with the ball screw, the driven nut is sleeved on the ball screw The disc spring is sleeved on the ball screw and interposed between the main nut and the driven nut, the positioning nut is screwed with the positioning nut and abuts against the disc spring, The vibration sensing module and the two are respectively disposed on the main screw And a vibration sensor on the driven nut, the signal processing module is connected to the vibration sensing module, thereby recording and analyzing the measured acceleration value; preload setting: selecting an appropriate ball size, When the ball screw die assembly is completed, the pre-pressure value is close to zero. After adjusting the pre-pressure value, the pre-pressure value is set by rotating the positioning nut to compress the disk spring; dynamic modeling: the ball screw The feed system is modeled as a centralized system, and the preload value is set to less than 10% of the rated dynamic load, so that the rigid performance of the main nut is expressed as a function of the preload value and the rated dynamic load of the ball screw; The above function calculates the vibration spectrum of the ball screw and the working stage, wherein the axial rigidity of the nut of the ball screw is used as a variable to check the effect of the change of the preload value of the ball screw, thereby finding the corresponding dynamic change. The trend of the simulation shows that the decrease of the preload value of the screw causes a decrease in the peak frequency. The preload change of the ball screw can be performed by monitoring the rigidity of the nut; The vibration sensing module performs vibration measurement on the main nut and the driven nut, and applies different preloading to the ball screw module by rotating the positioning nut to deform the disc spring. By setting a sampling frequency, the vibration signals of the main nut, the driven nut and the working stage under different preloading conditions can be obtained. For the short-time Fourier transform of the vibration signal, the peak frequency changes with time and has periodicity. The characteristics; and the result analysis: the simulation and measurement results are analyzed, wherein the spectrum change trend measured by the vibration sensing module and the peak frequency variation trend of the simulation result are consistent, and the monitoring is performed. The vibration signal of the ball screw module determines the preload change of the ball screw module.

進一步,在儀器設置的操作步驟中,該滾珠螺桿模組係設有一底座及一伺服馬達,該底座係設有兩平行設置的滑軌,該伺服馬達係固設於該底座上的一端,該滾珠螺桿係與該伺服馬達相連接且可轉動地設於該底座上方而介於兩滑軌間,且該滾珠螺桿於該底座上設有兩間隔設置的支撐軸承座。Further, in the operation step of the instrument setting, the ball screw module is provided with a base and a servo motor, and the base is provided with two parallel sliding rails, and the servo motor is fixed at one end of the base, The ball screw system is connected to the servo motor and rotatably disposed above the base and between the two slide rails, and the ball screw is provided with two spaced support bearing seats on the base.

再進一步,在儀器設置的操作步驟中,該可調式預壓模組於該滾珠螺桿上設置有一與該從動螺帽相結合且與該工作載台相貼靠的支撐件,藉以減小因工作載台本身的重量而產生微量形變或彎曲效應,而該盤狀彈簧係套設於該滾珠螺桿上且介於該主螺帽及該支撐件之間,且各振動感測器係由一印刷電路板及一電容式加速度規所組成,該訊號處理模組與該振動感測模組相連接且設有一轉接介面及一電腦,其中該轉接介面係與各振動感測器相連接,而該電腦係與轉接介面相連接,於電腦中係設有一用作資料顯示及分析之程式,藉以對於所量測的加速度值進行紀錄及分析。Further, in the operation step of the instrument setting, the adjustable pre-pressing module is provided on the ball screw with a support member coupled with the driven nut and abutting the working stage, thereby reducing the cause The weight of the working platform itself generates a slight deformation or bending effect, and the disc spring is sleeved on the ball screw and interposed between the main nut and the supporting member, and each vibration sensor is composed of one a printed circuit board and a capacitive accelerometer, the signal processing module is connected to the vibration sensing module and has a switching interface and a computer, wherein the switching interface is connected to each vibration sensor The computer is connected to the transfer interface, and a program for data display and analysis is provided in the computer for recording and analyzing the measured acceleration values.

較佳地,在儀器設置的操作步驟中,各電容式加速度規係為Analog Device公司製造型號為ADXL321的加速度規,其能同時量測兩軸的加速度,且最大量測範圍為18G(G為重力常數),而加速度規的尺寸大小為4公厘×4公厘×1.45公厘。Preferably, in the operation step of the instrument setting, each capacitive acceleration gauge is an acceleration gauge manufactured by Analog Device Co., Ltd. model ADXL321, which can simultaneously measure the acceleration of the two axes, and the maximum measurement range is 18G (G is The gravitational constant), and the size of the accelerometer is 4 mm × 4 mm × 1.45 mm.

較佳地,在儀器設置的操作步驟中,係透過一耐熱型的環氧樹脂將該振動感測器封裝於一鋁管裡,再將其置入該螺帽座加工的孔洞內,並在外部鎖上一金屬片固定,使該振動感測器的加速度規安置於接近於該主螺帽的表面處,而安裝於該從動螺帽上的振動感測器係採用直接黏貼於表面的方式進行固定。Preferably, in the operation step of the instrument setting, the vibration sensor is encapsulated in an aluminum tube through a heat-resistant epoxy resin, and then placed in the hole processed by the nut seat, and The external lock is fixed by a metal piece, so that the acceleration gauge of the vibration sensor is disposed close to the surface of the main nut, and the vibration sensor mounted on the driven nut is directly adhered to the surface. The way to fix it.

較佳地,在動態建模的操作步驟中,該滾珠螺桿進給系統的動態建模係以下列的數學方程式表示:Preferably, in the dynamic modeling operation step, the dynamic modeling of the ball screw feed system is expressed by the following mathematical equation:

其中Mt為工作載台質量,Mb為滾珠螺桿質量,Jm為伺服馬達慣量,Jb為滾珠螺桿慣量,Ke為滾珠螺桿與支撐軸承之等效軸向剛性,Kn為滾珠螺桿之螺帽軸向剛性,Kg為螺桿之扭轉剛性,Bt為工作載台軸向的黏滯阻尼係數,Bb為滾珠螺桿支撐軸承座的軸向黏滯阻尼係數,Qm為伺服馬達的扭力黏滯阻尼係數,Qb:滾珠螺桿支撐軸承座的扭力黏滯阻尼係數,dr為滾珠螺桿軸直徑,β為旋轉造成的滾珠螺桿軸之軸向位移,α為正切於滾珠螺桿軸旋轉方向之等效摩擦係數,T為馬達扭矩,Xb為滾珠螺桿軸向位移,Xt為工作載台位移,θm為馬達旋轉角以及θb為滾珠螺桿旋轉角。Where M t is the mass of the work stage, M b is the mass of the ball screw, J m is the servo motor inertia, J b is the ball screw inertia, K e is the equivalent axial rigidity of the ball screw and the support bearing, and K n is the ball screw The nut is axially rigid, K g is the torsional rigidity of the screw, B t is the viscous damping coefficient of the axial direction of the working stage, B b is the axial viscous damping coefficient of the ball screw support bearing seat, and Q m is the servo motor Torque viscous damping coefficient, Q b : Torque viscous damping coefficient of ball screw support bearing housing, d r is ball screw shaft diameter, β is the axial displacement of the ball screw shaft caused by rotation, α is tangential to the ball screw shaft The equivalent friction coefficient of the direction of rotation, T is the motor torque, X b is the axial displacement of the ball screw, X t is the displacement of the working stage, θ m is the motor rotation angle and θ b is the rotation angle of the ball screw.

較佳地,在模擬結果的操作步驟中,其中第一模態及第二模態係滾珠螺桿於進給方向所產生的軸向振動,而第三模態則為滾珠螺桿於旋轉運動所產生的扭力振動。Preferably, in the operation step of the simulation result, wherein the first mode and the second mode are axial vibrations generated by the ball screw in the feeding direction, and the third mode is generated by the ball screw in the rotating motion. Torque vibration.

較佳地,在量測結果的操作步驟中,該滾珠螺桿進給系統的工作位移為400公厘,進給速度為5公尺/分鐘,線性加/減速時間為0.5秒,並以1千赫茲作為取樣頻率,其中分析的頻率範圍為0~500赫茲,而三種不同峰值的圖樣可分類為三個不同的頻率區塊範圍:100~300、300~400及大於400赫茲。Preferably, in the operation step of the measurement result, the ball screw feed system has a working displacement of 400 mm, a feed rate of 5 m/min, a linear acceleration/deceleration time of 0.5 seconds, and a thousand Hertz is used as the sampling frequency, and the frequency range of the analysis is 0~500 Hz. The patterns of three different peaks can be classified into three different frequency block ranges: 100~300, 300~400 and more than 400 Hz.

較佳地,在結果分析的操作步驟中,以兩指標參數共振頻率及其對應的功率水準進行分析,其中隨著預壓的增加,在模擬及量測的狀況下,共振頻率值皆呈現頻率增高的相似趨勢,而共振頻率的功率水準和預壓值的大小也呈現相同的趨勢,並將峰值頻率正規化後和相對應的功率水平的關係,可得到預壓變化與峰值頻率及其頻率所對應的功率水準之關係,透過峰值頻率及其頻率所對應的功率大小可判斷該滾珠螺桿模組的預壓變化,即可經由監測該滾珠螺桿模組的振動訊號而判斷該滾珠螺桿模組的預壓變化。Preferably, in the operation step of the result analysis, the two-parameter parameter resonance frequency and its corresponding power level are analyzed, wherein as the pre-pressure increases, the resonance frequency values exhibit frequency in the simulated and measured conditions. The similar trend of increase, while the power level of the resonant frequency and the magnitude of the preload value also show the same trend, and the relationship between the preload and the peak frequency and its frequency can be obtained by normalizing the peak frequency and the corresponding power level. Corresponding power level relationship, the pre-pressure change of the ball screw module can be judged by the power level corresponding to the peak frequency and the frequency thereof, and the ball screw module can be judged by monitoring the vibration signal of the ball screw module. Preload changes.

藉由上述的技術手段,本發明監測滾珠螺桿於進給系統中預壓變化之方法,主要係透過儀器設置及動態建模的方式,對於滾珠螺桿模組進行實際量測及模擬運算,並透過模擬結果與量測結果的分析,可透過峰值頻率及其頻率所對應的功率大小關係而判斷該滾珠螺桿模組的預壓變化,因此,當滾珠螺桿經過一段時間的使用後,即可透過本發明監測滾珠螺桿於進給系統中預壓變化之方法來評估滾珠螺桿使用某段時間後的健康狀態,藉以避免滾珠螺桿因磨耗、潤滑及機械狀況等因素,使預壓值減小而影響到定位和加工的精度且縮短使用壽命等現象,進而構成一種方便且實用之監測滾珠螺桿於進給系統中預壓變化之方法者。According to the above technical means, the method for monitoring the pre-pressure change of the ball screw in the feeding system mainly performs the actual measurement and simulation operation on the ball screw module through the instrument setting and dynamic modeling. The simulation result and the measurement result analysis can determine the pre-pressure change of the ball screw module through the relationship between the peak frequency and the power corresponding to the frequency. Therefore, when the ball screw is used for a period of time, the The invention monitors the method of preloading changes of the ball screw in the feeding system to evaluate the health state of the ball screw after using for a certain period of time, so as to avoid the ball screw being affected by factors such as abrasion, lubrication and mechanical condition, thereby reducing the preload value and affecting The accuracy of positioning and processing and shortening the service life, etc., constitute a convenient and practical method for monitoring the pre-pressure change of the ball screw in the feed system.

為能詳細瞭解本發明的技術特徵及實用功效,並可依照說明書的內容來實施,玆進一步以如圖式所示(如圖1~4所示)的較佳實施例,詳細說明如后:In order to understand the technical features and practical effects of the present invention in detail, and in accordance with the contents of the specification, the following is further illustrated in the preferred embodiment of the present invention (as shown in FIGS. 1 to 4).

本發明所提供監測滾珠螺桿於進給系統中預壓變化之方法,其操作流程包含有:The invention provides a method for monitoring a pre-pressure change of a ball screw in a feed system, and the operation flow thereof comprises:

A、儀器設置:準備一單軸驅動的滾珠螺桿進給系統,該滾珠螺桿進給系統係設有一滾珠螺桿模組10、一可調式預壓模組20、一振動感測模組30及一訊號處理模組40,其中該滾珠螺桿模組10係設有一底座11、一伺服馬達12、一滾珠螺桿13及一工作載台14,該底座11係設有兩平行設置的滑軌111,該伺服馬達12係固設於該底座11上的一端,該滾珠螺桿13係與該伺服馬達12相連接且可轉動地設於該底座11上方而介於兩滑軌111間,較佳地,該滾珠螺桿13於該底座11上設有兩間隔設置的支撐軸承座131,該工作載台14於底面係固設有一與該滾珠螺桿13相結合的螺帽座15,該螺帽座15於一外側面係凸設有一高精度的定位螺套151;該可調式預壓模組20係設置於該滾珠螺桿13上且設有一主螺帽21、一從動螺帽22、一支撐架23、一盤狀彈簧24及一定位螺帽25,其中該主螺帽21係設置於該螺帽座15內且與該滾珠螺桿13相結合,該從動螺帽22係套設於該滾珠螺桿13上,其中由於該滾珠螺桿13會因工作載台14本身的重量而產生微量形變或彎曲效應,因此,該可調式預壓模組20於該滾珠螺桿13上設置有一與該從動螺帽22相結合且與該工作載台14相貼靠的支撐件23,藉以減小因工作載台14本身的重量而產生微量形變或彎曲效應,該盤狀彈簧24係套設於該滾珠螺桿13上且介於該主螺帽21及該支撐架23之間,該定位螺帽25係與該定位螺套151相螺合且與該盤狀彈簧24相貼靠,其中透過調整該定位螺帽25的旋轉角度,讓該盤狀彈簧24產生變形,進而使該主螺帽21及該從動螺帽22的距離加大,並同時使主螺帽21內的滾珠間隙縮小,進而施加一預壓力於該滾珠螺桿13上;該振動感測模組30係與該可調式預壓模組21相結合且設有兩振動感測器31,其中各振動感測器31係由一印刷電路板32及一電容式加速度規33所組成,較佳地,該電容式加速度規33係由靜電力驅動的微製程所製作的梳狀結構,當梳狀結構受到加速度的效應會改變梳狀結構間的電容大小,進而改變輸出電壓,藉以量測加速度訊號,進一步,各電容式加速度規33係為Analog Device公司製造型號為ADXL321的加速度規,其能同時量測兩軸的加速度,且最大量測範圍為18G(其中G為重力常數),而加速度規33的尺寸大小為4公厘(mm)×4公厘(mm)×1.45公厘(mm),而兩振動感測器31係分別設置於該主螺帽21及從動螺帽22上,較佳地,其中安裝於該從動螺帽22上的振動感測器31係採用直接黏貼於表面的方式進行固定,而該主螺帽21因設置於該螺帽座15內,所以透過嵌入的方式將該振動感測器31埋入螺帽座15內而與該主螺帽21相結合,進一步,透過一耐熱型的環氧樹脂(epoxy)將該振動感測器31封裝於一直徑為15公厘(mm)且高為10公厘(mm)的鋁管裡,再將其置入該螺帽座15加工的孔洞內,並在外部鎖上一金屬片固定,使該振動感測器31的加速度規33安置於相當接近於該主螺帽21的表面處;以及該訊號處理模組40係與該振動感測模組30相連接且設有一轉接介面41及一電腦42,其中該轉接介面41係與各振動感測器31相連接,而該電腦42係與該轉接介面41相連接,於電腦42中係設有一用作資料顯示及分析之程式421,藉以對於所量測的加速度值進行紀錄及分析;A. Instrument setting: preparing a single-axis driven ball screw feeding system, the ball screw feeding system is provided with a ball screw module 10, an adjustable pre-pressing module 20, a vibration sensing module 30 and a The signal processing module 40, wherein the ball screw module 10 is provided with a base 11, a servo motor 12, a ball screw 13 and a working stage 14. The base 11 is provided with two slide rails 111 arranged in parallel. The servo motor 12 is fixed to one end of the base 11. The ball screw 13 is connected to the servo motor 12 and rotatably disposed above the base 11 between the two slide rails 111. Preferably, the ball motor 13 is disposed between the two slide rails 111. The ball screw 13 is provided with two spaced apart support bearing seats 131 on the base 11, and the working platform 14 is fixed on the bottom surface with a nut seat 15 coupled with the ball screw 13, and the nut seat 15 is The outer side surface is convexly provided with a high-precision positioning screw sleeve 151; the adjustable pre-pressing module 20 is disposed on the ball screw 13 and is provided with a main nut 21, a driven nut 22, a support frame 23, a disc spring 24 and a positioning nut 25, wherein the main nut 21 is disposed on the nut And in combination with the ball screw 13, the driven nut 22 is sleeved on the ball screw 13, wherein the ball screw 13 may have a slight deformation or bending effect due to the weight of the work stage 14 itself. Therefore, the adjustable preloading module 20 is provided with a support member 23 coupled with the driven nut 22 and abutting the working platform 14 on the ball screw 13 , thereby reducing the working stage 14 . A slight deformation or bending effect is generated by the weight of the disc spring 24, and the disc spring 24 is sleeved on the ball screw 13 and interposed between the main nut 21 and the support frame 23, and the positioning nut 25 is coupled with the positioning. The nut 151 is screwed and abuts against the disc spring 24, wherein the disc spring 24 is deformed by adjusting the rotation angle of the positioning nut 25, thereby the main nut 21 and the driven screw The distance of the cap 22 is increased, and at the same time, the ball gap in the main nut 21 is reduced, and a pre-pressure is applied to the ball screw 13; the vibration sensing module 30 is coupled to the adjustable pre-press module 21 Combined with two vibration sensors 31, wherein each vibration sensor 31 is printed by one The plate 32 and a capacitive accelerometer 33 are formed. Preferably, the capacitive accelerometer 33 is a comb structure made by an electrostatic force driven micro-process. When the comb structure is subjected to an acceleration effect, the comb structure is changed. The size of the capacitor, in turn, changes the output voltage to measure the acceleration signal. Further, each of the capacitive accelerometers 33 is an acceleration gauge manufactured by Analog Devices, Inc., model ADXL321, which can simultaneously measure the acceleration of the two axes, and the maximum amount. The measurement range is 18G (where G is the gravity constant), and the size of the acceleration gauge 33 is 4 mm (mm) × 4 mm (mm) × 1.45 mm (mm), and the two vibration sensors 31 are respectively Preferably, the vibration sensor 31 mounted on the driven nut 22 is fixed by directly adhering to the surface, and the main screw is fixed on the main nut 21 and the driven nut 22 Since the cap 21 is disposed in the nut holder 15, the vibration sensor 31 is embedded in the nut holder 15 to be engaged with the main nut 21, and further transmitted through a heat-resistant epoxy. The epoxy encapsulates the vibration sensor 31 all the way In an aluminum tube of 15 mm (mm) and height of 10 mm (mm), it is placed in a hole machined by the nut seat 15, and a metal piece is fixed on the outside to fix the vibration. The acceleration gauge 33 of the detector 31 is disposed at a surface that is relatively close to the main nut 21; and the signal processing module 40 is connected to the vibration sensing module 30 and is provided with a switching interface 41 and a computer 42. The switching interface 41 is connected to each of the vibration sensors 31, and the computer 42 is connected to the switching interface 41. The computer 42 is provided with a program 421 for data display and analysis. Record and analyze the measured acceleration values;

B、預壓設定:選擇適當的滾珠大小,使該滾珠螺桿13模組裝完成時其預壓力值接近零,之後若需調整預壓值時僅需轉動該定位螺帽25而壓縮該盤狀彈簧24即可得到所欲設定的預壓值;B. Pre-pressure setting: select the appropriate ball size so that the pre-pressure value of the ball screw 13 is close to zero when the die assembly is completed. Then, if the pre-pressure value needs to be adjusted, only the positioning nut 25 needs to be rotated to compress the disk shape. The spring 24 can obtain the preset pressure value to be set;

C、動態建模:為了分析不同預壓下滾珠螺桿模組10的動態特性,透過於該滾珠螺桿模組10上設置該可調式預壓模組20的方式,使整個主螺帽21與螺帽座15、從動螺帽22、工作載台14、支撐架23及盤狀彈簧24等結合在該滾珠螺桿模組10上的機構視為一個剛體,即可將前述視為剛體的元件間之振動予以忽略,請配合參看如圖5所示,將該滾珠螺桿進給系統建模成一個集中系統(lumped system),其中所謂的集中系統係指將圖五所示的滾珠螺桿進給系統中的各相關參數僅視為時間的函數,整個滾珠螺桿進給系統的剛性係由滾珠螺桿13本身、支撐件23的軸承剛性及工作載台14與螺桿13間的剛性組成,其中將該主螺帽21的剛性視為一變數,而該滾珠螺桿13的剛性可由該滾珠螺桿13本身的直徑及長度決定,再者,當預壓值小於額定動態負荷的10%時,主螺帽21的剛性能被表示成預壓值及滾珠螺桿13額定動態負荷的函數;其中該從動螺帽22雖然具有質量,但相較工作載台14及滾珠螺桿13而言,其質量占整個進給系統的比例小,而相關的連結固定裝置的質量,由於該工作載台14係鎖在可調式預壓模組20上,而相關的固定裝置也被鎖在從動螺帽22上,因而這些元件的組合可被視為一個剛體,其中該滾珠螺桿進給系統的動態建模可以下列的數學方程式表示:C. Dynamic Modeling: In order to analyze the dynamic characteristics of the ball screw module 10 under different preloads, the entire main nut 21 and the snail are provided through the manner in which the adjustable preloading module 20 is disposed on the ball screw module 10. The mechanism in which the cap 15, the driven nut 22, the working stage 14, the support frame 23, the disk spring 24, and the like are coupled to the ball screw module 10 is regarded as a rigid body, and the aforementioned component can be regarded as a rigid body. The vibration is neglected. Please refer to FIG. 5 to model the ball screw feeding system as a lumped system. The so-called centralized system refers to the ball screw feeding system shown in FIG. The relevant parameters in the whole are only regarded as a function of time. The rigidity of the entire ball screw feeding system is composed of the ball screw 13 itself, the bearing rigidity of the support member 23, and the rigidity between the work stage 14 and the screw 13, wherein the main The rigidity of the nut 21 is regarded as a variable, and the rigidity of the ball screw 13 can be determined by the diameter and length of the ball screw 13 itself. Further, when the preload value is less than 10% of the rated dynamic load, the main nut 21 is Just performance is expressed as preload And a function of the rated dynamic load of the ball screw 13; wherein the driven nut 22 has a mass, but the mass of the driven plate is smaller than that of the working stage 14 and the ball screw 13, and the related link is small. The quality of the fixture, since the work stage 14 is locked to the adjustable preload module 20, and the associated fixture is also locked to the driven nut 22, so that the combination of these components can be considered a rigid body , wherein the dynamic modeling of the ball screw feed system can be expressed by the following mathematical equation:

其中Mt為工作載台14質量,Mb為滾珠螺桿13質量,Jm為伺服馬達12慣量,Jb為滾珠螺桿13慣量,Ke為滾珠螺桿13與支撐軸承之等效軸向剛性,Kn為滾珠螺桿13之螺帽軸向剛性,Kg為螺桿13之扭轉剛性,Bt為工作載台14軸向的黏滯阻尼係數,Bb為滾珠螺桿13支撐軸承座131的軸向黏滯阻尼係數,Qm為伺服馬達12的扭力黏滯阻尼係數,Qb:滾珠螺桿支撐軸承座的扭力黏滯阻尼係數,dr為滾珠螺桿軸13直徑,β為旋轉造成的滾珠螺桿軸13之軸向位移,α為正切於滾珠螺桿軸13旋轉方向之等效摩擦係數,T為馬達12扭矩,Xb為滾珠螺桿13軸向位移,Xt為工作載台14位移,θm為馬達12旋轉角以及θb為滾珠螺桿13旋轉角;Where M t is the mass of the working stage 14 , M b is the mass of the ball screw 13 , J m is the inertia of the servo motor 12 , J b is the inertia of the ball screw 13 , and K e is the equivalent axial rigidity of the ball screw 13 and the supporting bearing. K n is the axial rigidity of the nut of the ball screw 13 , K g is the torsional rigidity of the screw 13 , B t is the viscous damping coefficient of the axial direction of the working stage 14 , and B b is the axial direction of the bearing block 131 of the ball screw 13 Viscous damping coefficient, Q m is the torque viscous damping coefficient of the servo motor 12, Q b : the torque viscous damping coefficient of the ball screw support bearing seat, d r is the diameter of the ball screw shaft 13 , and β is the ball screw shaft caused by the rotation The axial displacement of 13 is α, which is the equivalent friction coefficient of the direction of rotation of the ball screw shaft 13, T is the torque of the motor 12, X b is the axial displacement of the ball screw 13, X t is the displacement of the working stage 14, and θ m is The rotation angle of the motor 12 and θ b are the rotation angles of the ball screw 13;

D、模擬結果:透過上述的數學方程式計算出如圖6(a)所示之滾珠螺桿13及工作載台14的振動頻譜,其中第一模態和第二模態是滾珠螺桿13於進給方向所產生的軸向振動,而第三模態則為滾珠螺桿13旋轉運動所造成的扭力振動,其中當欲檢驗滾珠螺桿13的預壓值變化效應時,係將滾珠螺桿13之螺帽軸向剛性(Kn)做為一個變數,藉以找出相對應的動態變化,請配合參看如圖6(b)-(d)所示,當施加一預壓值為0.5%~10%的額定動態負荷時,螺桿13振動訊號第一模態頻率移動的範圍為32~148赫茲(Hz),第二模態範圍為312~360赫茲(Hz),第三模態範圍為735~750赫茲(Hz),由此可知,第一模態較其他兩個模態有較大的頻率移動範圍,其中在第二模態範圍的共振頻率是由螺帽21,22的剛性所決定,且由模擬的趨勢顯示螺桿13預壓值的下降會造成峰值頻率的下降,因此,該滾珠螺桿13的預壓改變可透過監測螺帽21,22的剛性來進行;D. Simulation result: The vibration spectrum of the ball screw 13 and the work stage 14 as shown in FIG. 6(a) is calculated by the above mathematical equation, wherein the first mode and the second mode are the ball screw 13 in the feed. The axial vibration generated by the direction, and the third mode is the torsional vibration caused by the rotational movement of the ball screw 13, wherein when the effect of the preload value change of the ball screw 13 is to be checked, the nut shaft of the ball screw 13 is used. The stiffness (K n ) is used as a variable to find the corresponding dynamic change. Please refer to Figure 6(b)-(d) to apply a preload value of 0.5%~10%. During dynamic load, the first modal frequency of the vibration signal of the screw 13 ranges from 32 to 148 Hz, the second modal range is 312 to 360 Hz, and the third modal range is 735 to 750 Hz. Hz), it can be seen that the first mode has a larger frequency range of motion than the other two modes, wherein the resonance frequency in the second mode range is determined by the rigidity of the nuts 21, 22, and is simulated by The trend shows that the decrease in the preload value of the screw 13 causes a drop in the peak frequency, and therefore, the preload of the ball screw 13 Variable can be monitored via rigid nut 21, 22;

E、量測結果:透過該振動感測模組30對於該主螺帽21及從動螺帽22進行振動量測,其中該滾珠螺桿進給系統的工作位移為400公厘(mm),進給速度為5公尺/分鐘(m/min),線性加(減)速時間為0.5秒(s),並透過轉動該定位螺帽25使該盤狀彈簧24變形的方式,給予該滾珠螺桿模組10不同的預壓(0、18、36及54公斤重(kgf),設定一取樣頻率(1千赫茲(kHz)),可得到如圖7(a)、(b)、(c)所示之主螺帽21、從動螺帽22及工作載台14(其中該工作載台14於中央位置設置有一感測器)在不同預壓條件時的振動訊號,對於該振動訊號作短時間傅立葉轉換(short time Fourier transform;STFT)可得到如圖8(a)、(b)、(c)所示之圖表,其中分析的頻率範圍為0~500赫茲(Hz),而三種不同峰值的圖樣可分類為三個不同的頻率區塊範圍:100~300、300~400及大於400赫茲(Hz),圖中顯示峰值頻率會隨時間變化且具週期性的特質,這是因為工作載台14往復的運動所造成的結果,尤其是在300~400赫茲(Hz)頻率範圍時我們可觀察到能量強度較大的峰值頻率變化的現象;以及E. Measurement result: vibration measurement is performed on the main nut 21 and the driven nut 22 through the vibration sensing module 30, wherein the working displacement of the ball screw feeding system is 400 mm (mm), The feed speed is 5 meters/minute (m/min), the linear addition (deceleration) time is 0.5 seconds (s), and the ball screw 24 is deformed by rotating the positioning nut 25 to give the ball screw Different preloading of the module 10 (0, 18, 36 and 54 kg weight (kgf), set a sampling frequency (1 kHz), as shown in Figure 7 (a), (b), (c) The vibration signals of the main nut 21, the driven nut 22 and the working stage 14 (where the working stage 14 is provided with a sensor at a central position) under different preload conditions are short for the vibration signal. A short time Fourier transform (STFT) can be obtained as shown in Figures 8(a), (b), and (c), where the frequency range of the analysis is 0 to 500 Hertz (Hz), and three different peaks. The pattern can be categorized into three different frequency block ranges: 100~300, 300~400 and greater than 400 Hz. The figure shows that the peak frequency changes with time and has periodic characteristics. The results because the work stage 14 by the reciprocating motion caused by, in particular 300 to 400 Hertz (Hz) frequency range we can observe the energy intensity of the peak frequency variation greater phenomenon; and

F、結果分析:將前述經模擬及量測的結果進行分析,其中經該振動感測模組30所量測到的頻譜變化趨勢和模擬結果的第二模態的峰值頻率變化趨勢具有一致性,並且進一步以兩指標參數共振頻率及其對應的功率水準(power level)進行分析,如圖9(a)所示,隨著預壓的增加,在模擬及量測的狀況下,共振頻率值皆呈現頻率增高的相似趨勢,而共振頻率的功率水準和預壓值的大小也呈現相同的趨勢,另外如圖9(b)所示,將峰值頻率正規化(normalized)後和相對應的功率水平的關係,可得到預壓變化與峰值頻率及其頻率所對應的功率水準之關係,透過峰值頻率及其頻率所對應的功率大小來判斷該滾珠螺桿模組10的預壓變化,亦即可經由監測該滾珠螺桿模組10的振動訊號而判斷該滾珠螺桿模組10的預壓變化。F. Analysis of results: The results of the simulation and measurement are analyzed, wherein the spectrum change trend measured by the vibration sensing module 30 and the peak frequency change trend of the second mode of the simulation result are consistent. And further analyzing with two index parameter resonance frequencies and their corresponding power levels, as shown in Fig. 9(a), with the increase of the preload, the resonance frequency value under the condition of simulation and measurement Both show a similar trend of increasing frequency, and the power level and preload value of the resonant frequency also show the same trend. In addition, as shown in Fig. 9(b), the peak frequency is normalized and the corresponding power is obtained. The horizontal relationship can obtain the relationship between the pre-compression change and the power level corresponding to the peak frequency and its frequency, and the pre-pressure change of the ball screw module 10 can be judged by the power level corresponding to the peak frequency and the frequency thereof. The pre-pressure change of the ball screw module 10 is judged by monitoring the vibration signal of the ball screw module 10.

藉由上述的技術手段,本發明監測滾珠螺桿於進給系統中預壓變化之方法,主要係透過儀器設置及動態建模的方式,對於滾珠螺桿模組10進行實際量測及模擬運算,並透過模擬結果與量測結果的分析,可透過峰值頻率及其頻率所對應的功率大小關係而判斷該滾珠螺桿模組10的預壓變化,因此,當滾珠螺桿13經過一段時間的使用後,即可透過本發明監測滾珠螺桿於進給系統中預壓變化之方法來評估滾珠螺桿13使用某段時間後的健康狀態,藉以避免滾珠螺桿13因磨耗、潤滑及機械狀況等因素,使預壓值減小而影響到定位和加工的精度且縮短使用壽命等現象,進而構成一種方便且實用之監測滾珠螺桿於進給系統中預壓變化之方法者。According to the above technical means, the method for monitoring the pre-pressure change of the ball screw in the feeding system mainly performs the actual measurement and simulation operation on the ball screw module 10 through the instrument setting and the dynamic modeling manner, and Through the analysis of the simulation result and the measurement result, the pre-pressure change of the ball screw module 10 can be judged by the magnitude relationship of the power corresponding to the peak frequency and the frequency thereof. Therefore, when the ball screw 13 is used for a period of time, The method for monitoring the pre-compression of the ball screw in the feed system by the present invention can be used to evaluate the health status of the ball screw 13 after a certain period of time, so as to avoid the pre-pressure value of the ball screw 13 due to factors such as wear, lubrication and mechanical conditions. The reduction affects the accuracy of positioning and processing and shortens the service life, and thus constitutes a convenient and practical method for monitoring the pre-pressure change of the ball screw in the feed system.

以上所述,僅是本發明的較佳實施例,並非對本發明作任何形式上的限制,任何所屬技術領域中具有通常知識者,若在不脫離本發明所提技術方案的範圍內,利用本發明所揭示技術內容所作出局部更動或修飾的等效實施例,並且未脫離本發明的技術方案內容,均仍屬於本發明技術方案的範圍內。The above is only a preferred embodiment of the present invention, and is not intended to limit the scope of the present invention. Any one of ordinary skill in the art can use the present invention without departing from the scope of the present invention. Equivalent embodiments of the invention may be made without departing from the technical scope of the present invention.

10...滾珠螺桿模組10. . . Ball screw module

11...底座11. . . Base

111...滑軌111. . . Slide rail

12...伺服馬達12. . . Servo motor

13...滾珠螺桿13. . . Ball screw

131...支撐軸承座131. . . Support bearing

14...工作載台14. . . Work stage

15...螺帽座15. . . Nut seat

151...定位螺套151. . . Positioning screw

20...可調式預壓模組20. . . Adjustable preloading module

21...主螺帽twenty one. . . Main nut

22...從動螺帽twenty two. . . Driven nut

23...支撐架twenty three. . . Support frame

24...盤狀彈簧twenty four. . . Disc spring

25...定位螺帽25. . . Positioning nut

30...振動感測模組30. . . Vibration sensing module

31...振動感測器31. . . Vibration sensor

32...印刷電路板32. . . A printed circuit board

33...電容式加速度規33. . . Capacitive accelerometer

40...訊號處理模組40. . . Signal processing module

41...轉接介面41. . . Transfer interface

42...電腦42. . . computer

421...資料顯示及分析之程式421. . . Data display and analysis program

圖1係本發明監測滾珠螺桿於進給系統中預壓變化之方法的操作流程方塊示意圖。1 is a block diagram showing the operation of the method for monitoring the pre-pressure change of a ball screw in a feed system according to the present invention.

圖2係本發明單軸驅動的滾珠螺桿進給系統之方塊示意圖。2 is a block diagram of a single-shaft driven ball screw feed system of the present invention.

圖3係本發明單軸驅動的滾珠螺桿進給系統之俯視示意圖。Figure 3 is a top plan view of a single shaft driven ball screw feed system of the present invention.

圖4係本發明單軸驅動的滾珠螺桿進給系統之局部放大剖面側視示意圖。Figure 4 is a partially enlarged cross-sectional side elevational view of the uniaxially driven ball screw feed system of the present invention.

圖5係本發明滾珠螺桿進給系統之數學動態建模示意圖。Figure 5 is a schematic diagram of mathematical dynamic modeling of the ball screw feed system of the present invention.

圖6(a)係本發明滾珠螺桿進給系統模擬計算滾珠螺桿及工作載台之振動頻譜圖。Fig. 6(a) is a view showing the vibration spectrum of the ball screw and the working stage of the ball screw feeding system of the present invention.

圖6(b)至(d)係本發明不同預壓時滾珠螺桿進給系統模擬計算滾珠螺桿及工作載台之振動頻譜圖。6(b) to (d) are vibrational spectrum diagrams of the ball screw feeding system of the present invention for different preloading simulations of the ball screw and the working stage.

圖7(a)至(c)係本發明不同預壓時滾珠螺桿進給系統之主螺帽、從動螺帽及工作載台之加速度訊號圖。7(a) to (c) are acceleration signal diagrams of the main nut, the driven nut and the working stage of the ball screw feeding system of different preloadings according to the present invention.

圖8(a)至(c)係本發明將圖7(a)至(c)進行短時間傅立葉轉換之主螺帽、從動螺帽及工作載台之時頻分析圖。8(a) to (c) are time-frequency analysis diagrams of the main nut, the driven nut, and the working stage of the present invention for performing short-time Fourier transform of FIGS. 7(a) to (c).

圖9(a)係本發明不同預壓時峰值頻率變化及其頻率所對應功率之關係圖。Fig. 9(a) is a graph showing the relationship between the peak frequency variation and the power corresponding to the frequency during the different preloading of the present invention.

圖9(b)係本發明不同預壓時峰值頻率變化及其頻率所對應功率經正規化之關係圖。Fig. 9(b) is a diagram showing the relationship between the peak frequency change and the power corresponding to the frequency of the different preloading voltages according to the present invention.

Claims (9)

一種監測滾珠螺桿於進給系統中預壓變化之方法,其係包含有以下的操作步驟:儀器設置:準備一單軸驅動的滾珠螺桿進給系統,其設有一滾珠螺桿模組、一可調式預壓模組、一振動感測模組及一訊號處理模組,該滾珠螺桿模組設有一滾珠螺桿及一工作載台,該工作載台於底面係固設有一與該滾珠螺桿相結合的螺帽座,該螺帽座於外側面凸設有一定位螺套,該可調式預壓模組設於該滾珠螺桿上且設有一主螺帽、一從動螺帽、一盤狀彈簧及一定位螺帽,該主螺帽設於該螺帽座內且與該滾珠螺桿相結合,該從動螺帽套設於該滾珠螺桿上,該盤狀彈簧套設於該滾珠螺桿上且介於該主螺帽及該從動螺帽之間,該定位螺帽與該定位螺套相螺合且與該盤狀彈簧相貼靠,該振動感測模組與設有兩分別設置於該主螺帽及從動螺帽上的振動感測器,該訊號處理模組與該振動感測模組相連接,藉以對於所量測的加速度值進行紀錄及分析;預壓設定:選擇適當的滾珠大小,使該滾珠螺桿模組裝完成時其預壓力值接近零,之後調整預壓值時係透過轉動該定位螺帽而壓縮該盤狀彈簧的方式設定預壓值;動態建模:將該滾珠螺桿進給系統建模成一個集中系統,並將預壓值設定小於額定動態負荷的10%,使主螺帽的剛性表示成預壓值及滾珠螺桿額定動態負荷的函數;模擬結果:透過上述的函數計算出滾珠螺桿及工作載台的振動頻譜,其中將滾珠螺桿之螺帽軸向剛性做為一個變數,以檢驗滾珠螺桿的預壓值變化效應,藉以找出相對應的動態變化,由模擬的趨勢顯示螺桿預壓值的下降會造成峰值頻率的下降,該滾珠螺桿的預壓改變可透過監測螺帽的剛性來進行;量測結果:透過該振動感測模組對於該主螺帽及從動螺帽進行振動量測,並透過轉動該定位螺帽使該盤狀彈簧變形的方式,給予該滾珠螺桿模組不同的預壓,並設定一取樣頻率,可得到主螺帽、從動螺帽及工作載台在不同預壓條件時的振動訊號,對於該振動訊號作短時間傅立葉轉換,顯示峰值頻率會隨時間變化且具週期性的特質;以及結果分析:將前述經模擬及量測的結果進行分析,其中經該振動感測模組所量測到的頻譜變化趨勢和模擬結果的峰值頻率變化趨勢具有一致性,經由監測該滾珠螺桿模組的振動訊號而判斷該滾珠螺桿模組的預壓變化。A method for monitoring a pre-pressure change of a ball screw in a feed system, comprising the following steps: instrument setting: preparing a single-axis driven ball screw feeding system, which is provided with a ball screw module and an adjustable type a pre-pressing module, a vibration sensing module and a signal processing module, the ball screw module is provided with a ball screw and a working stage, the working stage is fixed on the bottom surface and combined with the ball screw a nut seat having a positioning nut protruding from the outer side surface, the adjustable pre-pressing module being disposed on the ball screw and provided with a main nut, a driven nut, a disc spring and a Positioning a nut, the main nut is disposed in the nut holder and combined with the ball screw, the driven nut is sleeved on the ball screw, and the disc spring is sleeved on the ball screw and interposed Between the main nut and the driven nut, the positioning nut is screwed with the positioning nut and abuts against the disc spring, and the vibration sensing module and the two are respectively disposed on the main a vibration sensor on the nut and the driven nut, the signal processing module and The vibration sensing module is connected to record and analyze the measured acceleration value; preload setting: select an appropriate ball size, so that the pre-pressure value of the ball screw die is close to zero when the ball screw die is assembled, and then adjust the pre-adjustment In the case of pressure value, the preload value is set by rotating the positioning nut to compress the disc spring; dynamic modeling: modeling the ball screw feed system into a centralized system, and setting the preload value to less than the rated dynamic 10% of the load, the rigidity of the main nut is expressed as a function of the preload value and the rated dynamic load of the ball screw; simulation results: the vibration spectrum of the ball screw and the work stage is calculated through the above function, wherein the screw of the ball screw The axial rigidity of the cap is used as a variable to check the effect of the preload value of the ball screw, so as to find the corresponding dynamic change. The trend of the simulation shows that the decrease of the preload value of the screw causes the peak frequency to drop. The ball screw The preload change can be performed by monitoring the rigidity of the nut; the measurement result: the main nut and the driven nut are vibrated through the vibration sensing module Measuring, and by rotating the positioning nut to deform the disc spring, giving the ball screw module different preloading, and setting a sampling frequency, the main nut, the driven nut and the working stage are obtained. The vibration signal under different pre-compression conditions, for the short-time Fourier transform of the vibration signal, shows that the peak frequency changes with time and has periodic characteristics; and the result analysis: the simulation and measurement results are analyzed, wherein The trend of the spectrum change measured by the vibration sensing module and the peak frequency variation trend of the simulation result are consistent, and the pre-pressure change of the ball screw module is determined by monitoring the vibration signal of the ball screw module. 如請求項1所述之監測滾珠螺桿於進給系統中預壓變化之方法,其中在儀器設置的操作步驟中,該滾珠螺桿模組係設有一底座及一伺服馬達,該底座係設有兩平行設置的滑軌,該伺服馬達係固設於該底座上的一端,該滾珠螺桿係與該伺服馬達相連接且可轉動地設於該底座上方而介於兩滑軌間,且該滾珠螺桿於該底座上設有兩間隔設置的支撐軸承座。The method for monitoring a pre-pressure change of a ball screw in a feed system according to claim 1, wherein in the operating step of the instrument setting, the ball screw module is provided with a base and a servo motor, and the base is provided with two a slide rail disposed in parallel, the servo motor is fixed to one end of the base, the ball screw is connected to the servo motor and rotatably disposed above the base and between the two slide rails, and the ball screw is The base is provided with two spaced support bearing seats. 如請求項1或2所述之監測滾珠螺桿於進給系統中預壓變化之方法,其中在儀器設置的操作步驟中,該可調式預壓模組於該滾珠螺桿上設置有一與該從動螺帽相結合且與該工作載台相貼靠的支撐件,藉以減小因工作載台本身的重量而產生微量形變或彎曲效應,而該盤狀彈簧係套設於該滾珠螺桿上且介於該主螺帽及該支撐件之間,且各振動感測器係由一印刷電路板及一電容式加速度規所組成,該訊號處理模組與該振動感測模組相連接且設有一轉接介面及一電腦,其中該轉接介面係與各振動感測器相連接,而該電腦係與轉接介面相連接,於電腦中係設有一用作資料顯示及分析之程式,藉以對於所量測的加速度值進行紀錄及分析。The method for monitoring a pre-pressure change of a ball screw in a feed system according to claim 1 or 2, wherein in the operating step of the instrument setting, the adjustable pre-press module is provided with the slave on the ball screw a support member combined with the nut and abutting against the working stage, thereby reducing a slight deformation or bending effect caused by the weight of the working stage itself, and the disc spring is sleeved on the ball screw and Between the main nut and the support member, each of the vibration sensors is composed of a printed circuit board and a capacitive accelerometer. The signal processing module is connected to the vibration sensing module and is provided with a a switching interface and a computer, wherein the switching interface is connected to each of the vibration sensors, and the computer is connected to the switching interface, and a program for data display and analysis is provided in the computer, thereby The measured acceleration values are recorded and analyzed. 如請求項3所述之監測滾珠螺桿於進給系統中預壓變化之方法,其中在儀器設置的操作步驟中,各電容式加速度規係為Analog Device公司製造型號為ADXL321的加速度規,其能同時量測兩軸的加速度,且最大量測範圍為18G,G為重力常數,而加速度規的尺寸大小為4公厘×4公厘×1.45公厘。The method for monitoring the pre-pressure change of the ball screw in the feed system according to claim 3, wherein in the operation step of the instrument setting, each of the capacitive acceleration gauges is an acceleration gauge manufactured by Analog Device Co., Ltd. model ADXL321, which can At the same time, the acceleration of the two axes is measured, and the maximum measurement range is 18G, G is the gravity constant, and the size of the acceleration gauge is 4 mm × 4 mm × 1.45 mm. 如請求項4所述之監測滾珠螺桿於進給系統中預壓變化之方法,其中在儀器設置的操作步驟中,係透過一耐熱型的環氧樹脂將該振動感測器封裝於一鋁管裡,再將其置入該螺帽座加工的孔洞內,並在外部鎖上一金屬片固定,使該振動感測器的加速度規安置於接近於該主螺帽的表面處,而安裝於該從動螺帽上的振動感測器係採用直接黏貼於表面的方式進行固定。The method for monitoring a pre-pressure change of a ball screw in a feed system according to claim 4, wherein in the operating step of the instrument setting, the vibration sensor is packaged in an aluminum tube through a heat-resistant epoxy resin. Then, it is placed in the hole of the nut seat processing, and a metal piece is fixed on the external lock, so that the acceleration gauge of the vibration sensor is disposed close to the surface of the main nut, and is installed on The vibration sensor on the driven nut is fixed by directly adhering to the surface. 如請求項5所述之監測滾珠螺桿於進給系統中預壓變化之方法,其中在動態建模的操作步驟中,該滾珠螺桿進給系統的動態建模係以下列的數學方程式表示: ,其中Mt為工作載台質量,Mb為滾珠螺桿質量,Jm為伺服馬達慣量,Jb為滾珠螺桿慣量,Ke為滾珠螺桿與支撐軸承之等效軸向剛性,Kn為滾珠螺桿之螺帽軸向剛性,Kg為螺桿之扭轉剛性,Bt為工作載台軸向的黏滯阻尼係數,Bb為滾珠螺桿支撐軸承座的軸向黏滯阻尼係數,Qm為伺服馬達的扭力黏滯阻尼係數,Qb:滾珠螺桿支撐軸承座的扭力黏滯阻尼係數,dr為滾珠螺桿軸直徑,β為旋轉造成的滾珠螺桿軸之軸向位移,α為正切於滾珠螺桿軸旋轉方向之等效摩擦係數,T為馬達扭矩,Xb為滾珠螺桿軸向位移,Xt為工作載台位移,θm為馬達旋轉角以及θb為滾珠螺桿旋轉角。A method of monitoring a pre-pressure change of a ball screw in a feed system as described in claim 5, wherein in the dynamic modeling operation step, the dynamic modeling of the ball screw feed system is expressed by the following mathematical equation: Where M t is the mass of the work stage, M b is the mass of the ball screw, J m is the servo motor inertia, J b is the ball screw inertia, K e is the equivalent axial rigidity of the ball screw and the support bearing, and K n is the ball The screw nut of the screw is axially rigid, K g is the torsional rigidity of the screw, B t is the viscous damping coefficient of the axial direction of the working stage, B b is the axial viscous damping coefficient of the ball screw support bearing seat, and Q m is the servo Torque viscous damping coefficient of the motor, Q b : Torque viscous damping coefficient of the ball screw support bearing housing, d r is the diameter of the ball screw shaft, β is the axial displacement of the ball screw shaft caused by the rotation, α is tangential to the ball screw The equivalent friction coefficient of the direction of rotation of the shaft, T is the motor torque, X b is the axial displacement of the ball screw, X t is the displacement of the work stage, θ m is the rotation angle of the motor, and θ b is the rotation angle of the ball screw. 如請求項6所述之監測滾珠螺桿於進給系統中預壓變化之方法,其中在模擬結果的操作步驟中,其中第一模態和第二模態是由滾珠螺桿於進給方向所產生的軸向振動,而第三模態則為滾珠螺桿於旋轉運動所產生的扭力振動。A method for monitoring a pre-pressure change of a ball screw in a feed system according to claim 6, wherein in the operation step of the simulation result, wherein the first mode and the second mode are generated by the ball screw in the feed direction The axial vibration, and the third mode is the torsional vibration generated by the ball screw in the rotary motion. 如請求項7所述之監測滾珠螺桿於進給系統中預壓變化之方法,其中在量測結果的操作步驟中,該滾珠螺桿進給系統的工作位移為400公厘,進給速度為5公尺/分鐘,線性加/減速時間為0.5秒,並以1千赫茲作為取樣頻率,其中分析的頻率範圍為0~500赫茲,而三種不同峰值的圖樣可分類為三個不同的頻率區塊範圍:100~300、300~400及大於400赫茲。The method for monitoring a pre-pressure change of a ball screw in a feed system according to claim 7, wherein in the operation step of the measurement result, the ball screw feed system has a working displacement of 400 mm and a feed rate of 5 Metric/minute, linear acceleration/deceleration time is 0.5 second, and 1 kHz is used as sampling frequency, wherein the frequency range of analysis is 0~500 Hz, and the patterns of three different peaks can be classified into three different frequency blocks. Range: 100~300, 300~400 and greater than 400 Hz. 如請求項8所述之監測滾珠螺桿於進給系統中預壓變化之方法,其中在結果分析的操作步驟中,以兩指標參數共振頻率及其對應的功率水準進行分析,其中隨著預壓的增加,在模擬及量測的狀況下,共振頻率值皆呈現頻率增高的相似趨勢,而共振頻率的功率水準和預壓值的大小也呈現相同的趨勢,並將峰值頻率正規化後和相對應的功率水平的關係,可得到預壓變化與峰值頻率及其頻率所對應的功率水準之關係,透過峰值頻率及其頻率所對應的功率大小可判斷該滾珠螺桿模組的預壓變化,即可經由監測該滾珠螺桿模組的振動訊號而判斷該滾珠螺桿模組的預壓變化。The method for monitoring a pre-pressure change of a ball screw in a feed system according to claim 8, wherein in the operation step of the result analysis, the two-parameter parameter resonance frequency and its corresponding power level are analyzed, wherein with the pre-compression The increase, in the simulation and measurement conditions, the resonance frequency values all show a similar trend of increasing frequency, while the power level of the resonant frequency and the magnitude of the preloading value also show the same trend, and the peak frequency is normalized and phase Corresponding power level relationship can obtain the relationship between the preload variation and the power level corresponding to the peak frequency and its frequency. The preload variation of the ball screw module can be judged by the power level corresponding to the peak frequency and its frequency, that is, The preload change of the ball screw module can be judged by monitoring the vibration signal of the ball screw module.
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TWI719901B (en) * 2020-05-19 2021-02-21 上銀科技股份有限公司 Method for judging the decline of preload of ball screw
US11268608B2 (en) 2019-07-22 2022-03-08 Hiwin Technologies Corp. Ball screw with a load condition feedback mechanism
TWI806998B (en) * 2018-03-27 2023-07-01 德商羅伯特博斯奇股份有限公司 Fuehrung, sensoranordnung und verfahren
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Publication number Priority date Publication date Assignee Title
TWI504478B (en) * 2014-06-04 2015-10-21 Hiwin Tech Corp Monitoring System of Ball Screw Pre - pressure and Its Monitoring Method
TWI806998B (en) * 2018-03-27 2023-07-01 德商羅伯特博斯奇股份有限公司 Fuehrung, sensoranordnung und verfahren
US10914368B2 (en) 2018-07-20 2021-02-09 Industrial Technology Research Institute Ball screw with force sensor in radial direction
TWI708025B (en) * 2019-05-24 2020-10-21 上銀科技股份有限公司 Ball screw that can feedback the force state
WO2020237800A1 (en) * 2019-05-29 2020-12-03 北京工业大学 Method for assessing main impact parameter of bolt loosening in vibrating work condition and loosening mitigation
GB2601094A (en) * 2019-05-29 2022-05-18 Univ Beijing Technology Method for assessing main impact parameter of bolt loosening in vibrating work condition and loosening mitigation
GB2601094B (en) * 2019-05-29 2024-06-05 Univ Beijing Technology Method for assessment of major looseness influencing parameters and looseness mitigation of bolt under vibration
CN112081898A (en) * 2019-06-14 2020-12-15 上银科技股份有限公司 Ball screw capable of feeding back stress state
US11268608B2 (en) 2019-07-22 2022-03-08 Hiwin Technologies Corp. Ball screw with a load condition feedback mechanism
US12083726B2 (en) 2019-11-06 2024-09-10 The Japan Steel Works, Ltd. Abnormality detection apparatus, abnormality detection method, and non-transitory computer readable recording medium
TWI719901B (en) * 2020-05-19 2021-02-21 上銀科技股份有限公司 Method for judging the decline of preload of ball screw

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