TWI680370B - Time series signal analysis method - Google Patents

Time series signal analysis method Download PDF

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TWI680370B
TWI680370B TW107111263A TW107111263A TWI680370B TW I680370 B TWI680370 B TW I680370B TW 107111263 A TW107111263 A TW 107111263A TW 107111263 A TW107111263 A TW 107111263A TW I680370 B TWI680370 B TW I680370B
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frequency
spectrum data
time
series signal
characteristic
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TW201942745A (en
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王逸民
Yet Men Wang
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逸奇科技股份有限公司
Ancad, Inc.
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Abstract

本發明之時間序列訊號之分析方法用以分析一待測物於運作時所產生之一時間序列訊號,其步驟包含有:量測時間序列訊號;將時間序列訊號進行頻率分析以產生一組頻譜資料;輸入待測物之一預估轉速頻率;比對預估轉速頻率與頻譜資料以輸出一實際轉速頻率。本發明方法應用於工具機時,可以準確地找出工具機主軸之實際轉速頻率。藉此分析方法,時間序列訊號可以在可信的標準下被呈現、比較並判斷。且造成異音的零件可以被簡單找出,解決業界既有的多個問題。 The time-series signal analysis method of the present invention is used to analyze a time-series signal generated by a DUT during operation. The steps include: measuring the time-series signal; frequency-analyzing the time-series signal to generate a set of spectrum. Data; input one of the estimated speed and frequency of the object to be tested; compare the estimated speed and frequency with the spectrum data to output an actual speed. When the method of the invention is applied to a machine tool, the actual rotational frequency of the machine tool spindle can be accurately found. With this analysis method, time series signals can be presented, compared and judged under credible standards. And parts that cause abnormal sounds can be easily identified to solve many existing problems in the industry.

Description

時間序列訊號之分析方法 Analysis method of time series signal

本發明係有關於一種時間序列訊號之分析方法,尤其是一種找出實際轉速以精確分析工具機異音產生來源的分析方法。 The invention relates to a method for analyzing a time series signal, in particular to an analysis method for finding out the actual rotational speed to accurately analyze the source of abnormal sound of a machine tool.

工具機在加工運轉過程中,加工狀態主要受溫度、潤滑、工件狀態與控制系統等關鍵參數影響,各項參數所貢獻之能量亦反映出機台不同程度的加工品質。由於產品線的加工品質或狀態受限於環境或訊號響應不夠敏感,上述參數不易即時檢出。而振動或噪音是綜合上述參數所表現出的物理現象,透過解析振動或噪音係目前公認較具效率之方法之一。 During the processing operation of the machine tool, the processing status is mainly affected by key parameters such as temperature, lubrication, workpiece status and control system. The energy contributed by each parameter also reflects the processing quality of the machine to varying degrees. Because the processing quality or status of the product line is limited by the environment or the signal response is not sensitive enough, the above parameters are not easy to detect immediately. Vibration or noise is a physical phenomenon manifested by the above-mentioned parameters. It is one of the currently recognized more efficient methods to analyze vibration or noise.

工具機內部的零件會因為不正確安裝、鬆脫、異物或是磨損等原因造成零件運作不順暢。此時工具機常會產生預期之外的聲音,稱為異音。也就是說,當工具機產生異音時,代表工具機不在最佳狀態上。此時工具機需要進一步的檢測或保養。然而目前在工具機的使用狀況上,對於異音的判斷沒有一致的標準。若技術員認為工具機有異音,也難以準確推測產生異音的來源零件。 The parts inside the machine tool may not run smoothly due to improper installation, looseness, foreign objects or wear. At this time, the machine tool often produces unexpected sounds, called abnormal sounds. In other words, when the machine tool produces a strange sound, it means that the machine tool is not in an optimal state. At this time, the machine tool needs further inspection or maintenance. However, at present, there is no uniform standard for judging abnormal sounds in the use of machine tools. If the technician thinks that the machine tool has a strange sound, it is difficult to accurately predict the source part that produces the strange sound.

習知技術中,業界已經在嘗試建立工具機模型,模擬出每一零件發出的訊號,再比對偵測到的訊號來判斷異音來源。但由於零件的轉速受限於主軸轉速,而主軸實際轉速又經常異於控制器輸出的預估轉速, 使得模擬工具機運作獲得的零件轉速存有偏差。業界中認為因此模擬工具機以推測零件的作法並不可靠,造成此方法僅於理論上可行,成為業界急需解決的問題。 In the conventional technology, the industry has been trying to establish a machine tool model, simulate the signal sent by each part, and then compare the detected signals to determine the source of the abnormal sound. However, because the speed of parts is limited by the spindle speed, and the actual spindle speed is often different from the estimated speed output by the controller, The deviation of the rotation speed of the part obtained by the operation of the simulation tool machine is made. The industry believes that the practice of simulating machine tools to infer parts is not reliable, and this method is only theoretically feasible, which has become an urgent problem for the industry.

有鑑於此,本發明提出了一種時間序列訊號之分析方法,比對零件的零件理論頻率以分析異音的來源,並且突破了零件的零件理論頻率與實際頻率經常不吻合的難點,以期作為一個泛用的異音判斷標準方法。 In view of this, the present invention proposes a method for analyzing time series signals, comparing the theoretical frequency of parts to analyze the source of abnormal sounds, and breaking through the difficulty that the theoretical frequency of parts often does not match the actual frequency, with a view to serving as a A standard method for judging abnormal sounds.

本發明之時間序列訊號之分析方法用以分析一包含有複數個零件之待測物所產生之一振動訊號。其步驟包含有:量測振動訊號;擷取振動訊號關於複數個時間資料及相應該複數個時間資料之複數個頻率資料;根據時間資料以及相對應的頻率資料以產生一相對應的頻率-頻率圖;分析頻率-頻率圖以產生一零件特徵頻率;模擬待測物之運作以獲得每一零件各自對應之一零件理論頻率;以及根據零件特徵頻率比對零件理論頻率,藉以確認零件特徵頻率所對應之零件。 The time-series signal analysis method of the present invention is used to analyze a vibration signal generated by a test object including a plurality of parts. The steps include: measuring vibration signals; acquiring vibration signals regarding a plurality of time data and a plurality of frequency data corresponding to the plurality of time data; and generating a corresponding frequency-frequency according to the time data and the corresponding frequency data. Figure; Analyze the frequency-frequency diagram to generate a characteristic frequency of the part; Simulate the operation of the object under test to obtain a theoretical frequency of each part corresponding to each part; The part corresponding to the characteristic frequency.

於一具體實施例中,待測物為一工具機,工具機包含有一主軸。於模擬待測物之運作以獲得每一零件各自對應之零件理論頻率之步驟中,進一步包含有下列子步驟:建立一工具機模型;根據時間資料以及相對應的頻率資料以產生主軸之一主軸轉速;以及輸入主軸轉速以模擬待測物之運作而獲得每一零件之零件理論頻率。 In a specific embodiment, the object to be measured is a machine tool, and the machine tool includes a spindle. The step of simulating the operation of the object under test to obtain the theoretical frequency of each part corresponding to each part further includes the following sub-steps: establishing a machine tool model; generating one of the main shafts based on time data and corresponding frequency data Spindle speed; and input the spindle speed to simulate the operation of the object under test to obtain the theoretical frequency of each part.

其中,於根據時間資料以及相對應的頻率資料以產生主軸之主軸轉速之子步驟中,係將時間資料以及相對應的頻率資料進行傅立葉轉換而獲得一振幅-頻率圖,再從振幅-頻率圖中擷取主軸轉速。 Among them, in the sub-step of generating the spindle rotation speed based on the time data and the corresponding frequency data, a Fourier transform is performed on the time data and the corresponding frequency data to obtain an amplitude-frequency diagram, and then from the amplitude-frequency diagram Retrieve the spindle speed.

其中,於量測振動訊號之步驟係為量測待測物之零件於實際運作時所產生之一綜合聲音訊號。 Among them, the step of measuring the vibration signal is a comprehensive sound signal generated when the part of the object to be measured is actually operated.

並且,於根據零件特徵頻率比對零件理論頻率,藉以確認零件特徵頻率所對應之零件之步驟,係從零件理論頻率中找出一個與零件特徵頻率相符的零件理論頻率,再從零件理論頻率回推發出零件特徵頻率之零件。 In addition, the step of comparing the theoretical frequency of the part with the characteristic frequency of the part to confirm the part corresponding to the characteristic frequency of the part is to find a theoretical frequency of the part that matches the characteristic frequency of the part from the theoretical frequency of the part, and then return from the theoretical frequency of the part. Derive the part characteristic frequency.

於一具體實施例中,待測物係為一車輛,時間序列訊號之分析方法用以檢測或監測車輛產生之振動訊號。 In a specific embodiment, the object to be measured is a vehicle, and the analysis method of the time series signal is used to detect or monitor the vibration signal generated by the vehicle.

進一步地,本發明之時間序列訊號之分析方法用以分析一待測物於運作時所產生之一時間序列訊號,其步驟包含有:量測時間序列訊號;將時間序列訊號進行頻率分析以產生一組頻譜資料;輸入待測物之一預估轉速頻率;比對預估轉速頻率與頻譜資料以輸出一實際轉速頻率。 Further, the method for analyzing time series signals of the present invention is used to analyze a time series signal generated by a DUT during operation, and the steps include: measuring the time series signal; performing frequency analysis on the time series signal to generate A set of spectrum data; input one of the estimated rotational speed frequency of the object to be tested; compare the estimated rotational frequency with the spectral data to output an actual rotational frequency.

進一步地,於比對預估轉速頻率與頻譜資料以獲得實際轉速頻率之步驟中,進一步包含有下列子步驟:根據預估轉速頻率於頻譜資料中之一預定範圍內擷取一特徵頻率;比對特徵頻率與該頻譜資料;若特徵頻率符合預估轉速頻率之一頻率對應規則,則將特徵頻率視為實際轉速頻率輸出。 Further, the step of comparing the estimated rotational frequency with the spectrum data to obtain the actual rotational frequency further includes the following sub-steps: acquiring a characteristic frequency within a predetermined range in the spectral data according to the estimated rotational frequency; The characteristic frequency and the frequency spectrum data; if the characteristic frequency meets one of the frequency correspondence rules of the estimated rotational frequency, the characteristic frequency is regarded as the actual rotational frequency output.

其中該頻率對應規則係指特徵頻率於頻譜資料中具有相對應的一次頻、一邊頻或一倍頻。 The frequency correspondence rule means that the characteristic frequency has a corresponding primary frequency, one side frequency, or one octave in the spectrum data.

進一步地,於根據預估轉速頻率於頻譜資料中之預定範圍內擷取特徵頻率之子步驟中,進一步包含有下列次步驟:從頻譜資料擷取預估轉速頻率對應之預定範圍;從頻譜資料之預定範圍內分離出一主動頻 率;輸出主動頻率作為特徵頻率。 Further, the sub-step of extracting the characteristic frequency within a predetermined range in the spectrum data according to the estimated rotational frequency further includes the following steps: extracting a predetermined range corresponding to the estimated rotational frequency from the spectral data; Active frequency Rate; output active frequency as characteristic frequency.

再者,於根據預估轉速頻率於頻譜資料中之預定範圍內擷取特徵頻率之子步驟中,係從預定範圍中擷取一尖峰頻率,並從該尖峰頻率中計算出該特徵頻率。 Furthermore, in the sub-step of extracting a characteristic frequency in a predetermined range in the spectrum data according to the estimated rotational frequency, a peak frequency is extracted from the predetermined range, and the characteristic frequency is calculated from the peak frequency.

於一具體實施例中,比對預估轉速頻率與頻譜資料以獲得實際轉速頻率之步驟中,進一步包含有一子步驟:若預定範圍中每一特徵頻率皆不符合預估轉速頻率之頻率對應規則,則根據頻率對應規則以頻譜資料計算而獲得實際轉速頻率。 In a specific embodiment, the step of comparing the estimated rotational frequency with the spectrum data to obtain the actual rotational frequency further includes a sub-step: if each characteristic frequency in the predetermined range does not meet the frequency correspondence rule of the estimated rotational frequency , Then the actual rotational frequency is obtained from the spectrum data calculation according to the frequency correspondence rule.

進一步地,頻譜資料中包含有複數個頻率值以及分別對應該等頻率值之複數個振幅值。於根據預估轉速頻率於頻譜資料中之預定範圍內擷取特徵頻率之子步驟中,係為擷取頻譜資料之預定範圍中振幅值大於一雜訊值振幅(noise level)之頻率值作為特徵頻率。 Further, the frequency spectrum data includes a plurality of frequency values and a plurality of amplitude values corresponding to the frequency values. In the sub-step of acquiring a characteristic frequency within a predetermined range in the spectrum data according to the estimated rotational frequency, a frequency value having an amplitude value greater than a noise level amplitude in the predetermined range of the spectrum data is acquired as the characteristic frequency. .

其中,預定範圍係介於預估轉速頻率之頻率值之85%至預估轉速頻率之頻率值之115%之間。雜訊值振幅係從頻譜資料中每一頻率值對應的振幅值計算計算訊號均方根值所獲得。 The predetermined range is between 85% of the frequency value of the estimated speed frequency and 115% of the frequency value of the estimated speed frequency. The noise value amplitude is obtained by calculating and calculating the root mean square value of the signal from the amplitude value corresponding to each frequency value in the spectrum data.

於一具體實施例中,將該時間序列訊號進行頻率分析以產生該組頻譜資料之步驟中,進一步包含有一子步驟:利用微調轉速頻方法以提升該等頻譜資料之一解析度。其中該微調轉速頻方法係重疊相加摺積法(zero padding)或是邱普變換法(Chirp z-transform)。 In a specific embodiment, the step of performing frequency analysis on the time-series signal to generate the set of spectrum data further includes a sub-step: using a method of fine-tuning the rotation frequency to improve one of the spectrum data resolutions. The fine-tuning speed-frequency method is an overlap-add-convolution method (zero padding) or a Chirp z-transform method.

於一具體實施例中,待測物為一工具機,工具機包含有一主軸以及複數個零件,時間序列訊號係為主軸及該等零件所共同產生,預估轉速頻率係為主軸之一預估主軸轉速頻率,實際轉速頻率係為主軸之一實 際主軸轉速頻率,時間序列訊號之分析方法進一步包含有下列步驟:建立一工具機模型;輸入實際主軸轉速頻率以模擬工具機之運作;計算每一零件之一理論頻率。 In a specific embodiment, the object to be measured is a machine tool. The machine tool includes a main shaft and a plurality of parts. The time series signal is generated by the main shaft and the parts. The estimated speed and frequency are estimated by one of the main shafts. Spindle speed frequency, the actual speed frequency is one of the actual spindle speed The analysis method of the international spindle speed and frequency and time series signal further includes the following steps: establishing a machine tool model; inputting the actual spindle speed and frequency to simulate the operation of the machine tool; and calculating a theoretical frequency of each part.

綜上所述,為了達成精準的模擬待測物運作來獲得每一零件各自對應之一零件理論頻率,本發明提出了計算實際主軸轉速的方法。本方法將該時間序列訊號進行數據化分析或視覺化分析已得到頻譜資料。輸入的預估轉速頻率需比對頻譜資料,用物理性的頻率規則推算及驗算,才能輸出精確的實際轉速頻率。因此,利用本發明之方法找到的實際轉速頻率代入待測物模型中,可以找出發出時間序列訊號的零件。本發明應用在異音訊號分析時,可使判斷不再依賴人力與經驗,而是系統化並且有效率的建立一個異音判斷標準,解決了此領域中,品管、交貨、檢測、監測、維修等多個面向的習知問題。 In summary, in order to achieve accurate simulation of the operation of the object under test to obtain the theoretical frequency of each part corresponding to each part, the present invention proposes a method for calculating the actual spindle speed. In this method, the time series signals are subjected to data analysis or visual analysis to obtain spectrum data. The input estimated rotational frequency needs to be compared with the frequency spectrum data, and the physical frequency rule is used to estimate and check the calculation to output the accurate actual rotational frequency. Therefore, the actual rotational frequency found by the method of the present invention is substituted into the model of the object to be tested, and the parts emitting time series signals can be found. When the invention is applied to the analysis of abnormal sound signals, the judgment can no longer rely on manpower and experience, but a systematic and efficient establishment of an abnormal sound judgment standard can solve the quality control, delivery, detection, and monitoring in this field. , Maintenance and other multiple knowledge issues.

S1~S10‧‧‧步驟 S1 ~ S10‧‧‧step

S51~S53‧‧‧子步驟 S51 ~ S53‧‧‧‧Sub-step

S521~S526‧‧‧次步驟 S521 ~ S526‧‧‧ steps

A、B、C‧‧‧區域 Areas A, B, C‧‧‧

S91~S93‧‧‧子步驟 S91 ~ S93‧‧‧‧Sub-step

S911~S913‧‧‧次步驟 S911 ~ S913‧‧‧ steps

圖1係繪示根據本發明時間序列訊號之分析方法之一具體實施例之流程圖。 FIG. 1 is a flowchart illustrating a specific embodiment of a method for analyzing time series signals according to the present invention.

圖2係繪示根據本發明時間序列訊號之分析方法之一具體實施例中模擬待測物之運作以獲得每一零件各自對應之一零件理論頻率之步驟之流程圖。 FIG. 2 is a flowchart illustrating steps for simulating the operation of the object under test to obtain the theoretical frequency of each part corresponding to each part in a specific embodiment of a method for analyzing time series signals according to the present invention.

圖3係繪示根據本發明時間序列訊號之分析方法之一具體實施例中根據預估轉速頻率於頻譜資料中之一預定範圍內擷取一特徵頻率之流程圖。 FIG. 3 is a flowchart illustrating a method for acquiring a characteristic frequency within a predetermined range of spectrum data according to an estimated rotational frequency in a specific embodiment of a method for analyzing a time series signal according to the present invention.

圖4係繪示根據本發明時間序列訊號之分析方法之一具體實施例中的振幅頻率圖。 FIG. 4 is an amplitude-frequency diagram of a specific embodiment of a method for analyzing a time-series signal according to the present invention.

圖5係繪示根據本發明時間序列訊號之分析方法之一具體實施例中根據時 間資料以及相對應的頻率資料以產生主軸之主軸轉速之子步驟流程圖。 FIG. 5 is a diagram illustrating a time-series signal analysis method according to an embodiment of the present invention based on time. The sub-step flowchart of the spindle speed and the corresponding frequency data to generate the spindle speed.

圖6A係繪示根據本發明時間序列訊號之分析方法之一具體實施例中時間資料以及頻率資料經由短時傅立葉轉換計算獲得的一次頻譜圖。 FIG. 6A is a primary spectrum diagram obtained by calculating time data and frequency data through short-time Fourier transform calculation in a specific embodiment of a method for analyzing time series signals according to the present invention.

圖6B係繪示根據本發明時間序列訊號之分析方法之一具體實施例中的一次頻譜圖經由快速傅立葉轉換計算獲得的二次頻譜圖。 FIG. 6B is a diagram illustrating a secondary spectrum obtained by performing a fast Fourier transform calculation on a primary spectrum diagram in a specific embodiment of a method for analyzing a time series signal according to the present invention.

圖6C係繪示根據本發明時間序列訊號之分析方法之一具體實施例中的二次頻譜圖經由積分計算獲得的振幅頻率圖。 FIG. 6C is an amplitude-frequency diagram obtained through integral calculation of a secondary spectrum diagram in a specific embodiment of a method for analyzing a time-series signal according to the present invention.

圖7A係繪示根據本發明時間序列訊號之分析方法之一具體實施例中模擬待測物之運作之示意圖。 FIG. 7A is a schematic diagram illustrating the operation of simulating a test object in a specific embodiment of a method for analyzing time series signals according to the present invention.

圖7B係繪示根據本發明時間序列訊號之分析方法之一具體實施例中呈現每一零件各自對應之一零件理論頻率之一示意圖。 7B is a schematic diagram showing a theoretical frequency of a part corresponding to each part in a specific embodiment of a method for analyzing time series signals according to the present invention.

圖8係繪示根據本發明時間序列訊號之分析方法之一具體實施例之流程圖。 FIG. 8 is a flowchart illustrating a specific embodiment of a method for analyzing time series signals according to the present invention.

圖9係繪示根據本發明時間序列訊號之分析方法之一具體實施例中比對預估轉速頻率與頻譜資料以輸出一實際轉速頻率之流程圖。 FIG. 9 is a flow chart of comparing an estimated rotational frequency and spectrum data to output an actual rotational frequency in a specific embodiment of a method for analyzing time series signals according to the present invention.

為了讓本發明的優點,精神與特徵可以更容易且明確地了解,後續將以實施例並參照所附圖式進行詳述與討論。值得注意的是,這些實施例僅為本發明代表性的實施例,其中所舉例的特定方法,裝置,條件,材質等並非用以限定本發明或對應的實施例。 In order to make the advantages, spirits and features of the present invention easier and clearer, it will be detailed and discussed in the following with reference to the embodiments and the accompanying drawings. It is worth noting that these embodiments are only representative embodiments of the present invention, and the specific methods, devices, conditions, materials, etc. illustrated therein are not intended to limit the present invention or corresponding embodiments.

在本說明書的描述中,參考術語“一具體實施例”、“另一具體實施例”或“部分具體實施例”等的描述意指結合該實施例描述的具體特徵、結構、材料或者特點包含於本發明的至少一個實施例中。在本 說明書中,對上述術語的示意性表述不一定指的是相同的實施例。而且,描述的具體特徵、結構、材料或者特點可以在任何的一個或多個實施例中以合適的方式結合。 In the description of this specification, the description with reference to the terms "a specific embodiment", "another specific embodiment" or "partial specific embodiments" and the like means that the specific features, structures, materials, or characteristics described in conjunction with this embodiment include In at least one embodiment of the present invention. In this In the description, the schematic expressions of the above terms do not necessarily refer to the same embodiment. Moreover, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments.

在本說明書的描述中,每一步驟之間會以文字說明其先後順序,在圖式中則以箭號表示其先後順序。需注意的是,標號中的數字並不能被解釋為本發明方法之步驟順序。例如步驟S5並非一定在步驟S4之後;或是步驟S10係在步驟S7之前。 In the description of this specification, the sequence of each step will be described in words, and the sequence of the steps will be indicated by an arrow in the diagram. It should be noted that the numbers in the labels cannot be interpreted as the sequence of steps in the method of the present invention. For example, step S5 is not necessarily after step S4; or step S10 is before step S7.

請參閱圖1。圖1係繪示根據本發明時間序列訊號之分析方法之一具體實施例之流程圖。本發明之時間序列訊號之分析方法用以分析一包含有複數個零件之待測物所產生之一振動訊號。其步驟包含有:量測振動訊號S1;擷取振動訊號關於複數個時間資料及相應時間資料之複數個頻率資料S2;根據時間資料以及相對應的頻率資料以產生一相對應的頻率-頻率圖S3;分析頻率-頻率圖以產生一零件特徵頻率S4;模擬待測物之運作以獲得每一零件各自對應之一零件理論頻率S5;以及根據零件特徵頻率比對零件理論頻率,藉以確認零件特徵頻率所對應之零件S6。 See Figure 1. FIG. 1 is a flowchart illustrating a specific embodiment of a method for analyzing time series signals according to the present invention. The time-series signal analysis method of the present invention is used to analyze a vibration signal generated by a test object including a plurality of parts. The steps include: measuring the vibration signal S1; extracting the vibration signal with respect to the plurality of time data and the plurality of frequency data S2 corresponding to the time data; and generating a corresponding frequency-frequency diagram according to the time data and the corresponding frequency data. S3; analyze the frequency-frequency diagram to generate a characteristic frequency S4 of the part; simulate the operation of the test object to obtain a theoretical frequency S5 of each part corresponding to each part; and compare the theoretical frequency of the part according to the characteristic frequency of the part, thereby Confirm the part S6 corresponding to the characteristic frequency of the part.

習知技術中,應用振動分析方法於檢測時,係藉由觀察機器在異常狀態所引發振動的變化,與正常運轉時的振動作出比較,以找出振動的特性。再進一步地,對振動的起因進行推估。然而,將異常和正常待測物兩者在相同的測量條件與環境下測量振動並非輕易可達成。再者,後續之推估步驟仍需要人為的經驗判斷才能實現,難以做為通用標準,準確率亦有所上限。 In the conventional technique, the vibration analysis method is applied to the detection by observing the change of the vibration caused by the machine in an abnormal state and comparing it with the vibration during normal operation to find out the characteristics of the vibration. Further, the cause of the vibration is estimated. However, it is not easy to measure both abnormal and normal DUT under the same measurement conditions and environment. In addition, the subsequent estimation steps still need human experience to achieve, it is difficult to use as a general standard, and the accuracy rate is also limited.

請參閱圖1、圖7A及圖7B。圖7A係繪示根據本發明時間序 列訊號之分析方法之一具體實施例中模擬待測物之運作之示意圖。圖7B係繪示根據本發明時間序列訊號之分析方法之一具體實施例中呈現每一零件各自對應之一零件理論頻率之一示意圖。為解決上述痛點,本發明於電腦系統中建立一個待測物模型(如圖7A所示),模擬待測物的運作來獲得每一零件各自對應之一零件理論頻率(如圖7B所示)。待測物通常是一個包含有多個機械零件的機器。零件可以是齒輪、皮帶、軸承或鍊條等金屬或非金屬的機器元件。 Please refer to FIGS. 1, 7A and 7B. FIG. 7A illustrates a time sequence according to the present invention. Schematic diagram of the simulation of the operation of the DUT in one embodiment of the method for analyzing the signal. 7B is a schematic diagram showing a theoretical frequency of a part corresponding to each part in a specific embodiment of a method for analyzing time series signals according to the present invention. In order to solve the above-mentioned pain points, the present invention establishes a model of the object to be tested in the computer system (as shown in FIG. 7A), and simulates the operation of the object to be tested to obtain the theoretical frequency of each part corresponding to each part (see FIG. 7B As shown). The DUT is usually a machine containing multiple mechanical parts. Parts can be metal or non-metallic machine elements such as gears, belts, bearings or chains.

本發明方法可以從測量到的振動訊號中找出零件特徵頻率,接著將零件特徵頻率與零件理論頻率做比對。亦可以將正常運作的待測物產生的振動訊息預先進行此分析方法至步驟S3或步驟S4,產生視覺化的標準振動訊息。之後再從目標待測物進行此分析方法,並且與正常待測物的分析結果相比較,以找出兩者差異,此差異可視為零件特徵頻率。因此本發明可以標準化的判斷出待測物是否有不同於理論音訊的異音發生;還可以有效率地反推造成異音的零件。 The method of the invention can find the characteristic frequency of the part from the measured vibration signal, and then compare the characteristic frequency of the part with the theoretical frequency of the part. It is also possible to perform the analysis method to step S3 or step S4 in advance for the vibration information generated by the normal operation test object to generate a visual standard vibration message. This analysis method is then performed from the target test object and compared with the analysis results of the normal test object to find the difference between the two. This difference can be regarded as the characteristic frequency of the part. Therefore, the present invention can standardly determine whether the object under test has abnormal sounds different from the theoretical audio; it can also efficiently push back parts that cause abnormal sounds.

其中,於量測振動訊號之步驟S1係為量測待測物之零件於實際運作時所產生之一綜合聲音訊號。並且,於根據零件特徵頻率比對零件理論頻率,藉以確認零件特徵頻率所對應之零件之步驟S6,係從眾多零件理論頻率中找出一個與零件特徵頻率相符的零件理論頻率,再從零件理論頻率回推發出零件特徵頻率之零件。 Among them, the step S1 of measuring the vibration signal is a comprehensive sound signal generated when measuring the parts of the object under test in actual operation. In addition, in step S6 of comparing the theoretical frequency of the part with the characteristic frequency of the part to confirm the part corresponding to the characteristic frequency of the part, a theoretical frequency of the part corresponding to the characteristic frequency of the part is found from the theoretical frequencies of the parts, and then the theoretical part Frequency recursive parts that give out the characteristic frequency of the part.

於一具體實施例中,步驟S1~步驟S4係依序的執行。步驟S5係獨立執行的另一程序。最終於步驟S6時,再比對步驟S4輸出的零件特徵頻率和步驟S5輸出的零件理論頻率。於另一具體實施例中,步驟S1~步驟S4 係依序的執行。步驟S5係以另一程序接續在步驟S2之後。步驟S2輸出的資料可作為步驟S5中用以模擬的校正資料,而步驟S5則輸出更為準確的零件理論頻率,使步驟S6的對比精確度提高。 In a specific embodiment, steps S1 to S4 are performed sequentially. Step S5 is another procedure executed independently. Finally, in step S6, the characteristic frequency of the part output in step S4 is compared with the theoretical frequency of the part output in step S5. In another specific embodiment, steps S1 to S4 They are executed sequentially. Step S5 is continued after step S2 by another procedure. The data output in step S2 can be used as the calibration data for simulation in step S5, and step S5 outputs a more accurate theoretical frequency of the part, so that the comparison accuracy of step S6 is improved.

請參閱圖2、圖7A及圖7B。圖2係繪示根據本發明時間序列訊號之分析方法之一具體實施例中模擬待測物之運作以獲得每一零件各自對應之一零件理論頻率之步驟S5之流程圖。於一具體實施例中,待測物為一工具機,工具機包含有一主軸。於模擬待測物之運作以獲得每一零件各自對應之零件理論頻率之步驟S5中,進一步包含有下列子步驟:建立一工具機模型S51;根據時間資料以及相對應的頻率資料以產生主軸之一主軸轉速S52;以及輸入主軸轉速以模擬待測物之運作而獲得每一零件之零件理論頻率S53。 Please refer to FIG. 2, FIG. 7A and FIG. 7B. FIG. 2 is a flowchart illustrating step S5 of simulating the operation of the object under test to obtain a theoretical frequency of each part corresponding to each part in a specific embodiment of a method for analyzing time series signals according to the present invention. In a specific embodiment, the object to be measured is a machine tool, and the machine tool includes a spindle. In step S5 of simulating the operation of the object under test to obtain the theoretical frequency of each part, the method further includes the following sub-steps: establishing a machine tool model S51; generating a spindle based on time data and corresponding frequency data One of the main shaft rotation speed S52; and inputting the main shaft rotation speed to simulate the operation of the object under test to obtain the theoretical frequency S53 of each part.

於工具機模型中,進一步可以輸入有每一零件的規格、齒數、安裝方式、安裝位置與作動關係等。安排好各個零件之後,輸入主軸轉速並且模擬待測物運作即可計算得每一零件之零件理論頻率。其中,主軸牽動相關的運轉零件,因此主軸轉速的數值亦影響著每一相關運轉零件的零件理論頻率。 In the machine tool model, the specifications of each part, the number of teeth, the installation method, the installation position and the operating relationship can be further input. After arranging each part, input the spindle speed and simulate the operation of the object under test to calculate the theoretical frequency of each part. Among them, the main shaft pulls the related running parts, so the value of the spindle speed also affects the theoretical frequency of the parts of each related running part.

於部分實施例中,使用者預先知道待測物中控制器預設的主軸轉速,並且,控制器預設的主軸轉速等同於實際的主軸轉速。此時每一零件之零件理論頻率可以簡單地被計算出來。 In some embodiments, the user knows in advance the spindle speed preset by the controller in the test object, and the spindle speed preset by the controller is equal to the actual spindle speed. At this time, the theoretical frequency of each part can be simply calculated.

於部分實施例中,零件特徵頻率沒有相符合的零件理論頻率。此時可能代表控制器預設的主軸轉速不等同於實際的主軸轉速,因此每一相關運轉零件的零件理論頻率不同於實際頻率。為解決這個衍生的問 題,本發明進一步包含有下述的解決手段。 In some embodiments, the characteristic frequency of the part does not match the theoretical frequency of the part. At this time, it may mean that the spindle speed preset by the controller is not equal to the actual spindle speed, so the theoretical frequency of each related running part is different from the actual frequency. To solve this derivative question The present invention further includes the following solutions.

請參閱圖8。圖8係繪示根據本發明時間序列訊號之分析方法之一具體實施例之流程圖。本發明之時間序列訊號之分析方法用以分析一待測物於運作時所產生之一時間序列訊號,其步驟包含有:量測時間序列訊號S10;將時間序列訊號進行頻率分析以產生一組頻譜資料S7;輸入待測物之一預估轉速頻率S8;比對預估轉速頻率與頻譜資料以輸出一實際轉速頻率S9。時間序列訊號可以是振動訊號、聲音訊號、電流訊號或電壓訊號等。 See Figure 8. FIG. 8 is a flowchart illustrating a specific embodiment of a method for analyzing time series signals according to the present invention. The time-series signal analysis method of the present invention is used to analyze a time-series signal generated by a DUT during operation. The steps include: measuring the time-series signal S10; frequency-analyzing the time-series signal to generate a group Spectral data S7; input one of the estimated speed frequency S8 of the object to be tested; compare the estimated speed frequency with the frequency spectrum data to output an actual speed frequency S9. The time series signal can be a vibration signal, a sound signal, a current signal or a voltage signal.

請再參閱圖2。於一具體實施例中,於根據時間資料以及相對應的頻率資料以產生主軸之主軸轉速之子步驟S52中,係將時間資料以及相對應的頻率資料進行傅立葉轉換而獲得一振幅-頻率圖。此時振幅-頻率圖可以呈現出主軸的實際轉速頻率。並且,實際轉速頻率通常略低於控制器預設的主軸轉速。因此,可以輕易地從振幅-頻率圖中擷取實際的主軸轉速。再於步驟S53中輸入實際的主軸轉速。 Please refer to Figure 2 again. In a specific embodiment, in the sub-step S52 of generating the spindle speed of the main shaft according to the time data and the corresponding frequency data, Fourier transform is performed on the time data and the corresponding frequency data to obtain an amplitude-frequency diagram. At this time, the amplitude-frequency diagram can show the actual rotational frequency of the spindle. And, the actual speed frequency is usually slightly lower than the spindle speed preset by the controller. Therefore, the actual spindle speed can be easily extracted from the amplitude-frequency diagram. Then, the actual spindle speed is input in step S53.

於一具體實施例中,待測物係為一車輛,時間序列訊號之分析方法用以檢測或監測車輛產生之振動訊號。車輛包含有一引擎曲軸,引擎曲軸的作用同等於工具機的主軸,曲軸轉速的計算同等於工具機的主軸轉速。而於步驟S5中,則是進一步包含有下列子步驟:建立一車輛模型;根據時間資料以及相對應的頻率資料以產生引擎曲軸之一曲軸轉速;以及輸入曲軸轉速以模擬車輛引擎之運作而獲得每一零件之零件理論頻率。 In a specific embodiment, the object to be measured is a vehicle, and the analysis method of the time series signal is used to detect or monitor the vibration signal generated by the vehicle. The vehicle includes an engine crankshaft. The function of the engine crankshaft is equivalent to that of the main shaft of the machine tool, and the calculation of the crankshaft speed is equivalent to the main shaft speed of the machine tool. In step S5, it further includes the following sub-steps: establishing a vehicle model; generating a crankshaft speed of the engine crankshaft according to the time data and corresponding frequency data; and inputting the crankshaft speed to simulate the operation of the vehicle engine to obtain The theoretical frequency of parts for each part.

請參閱圖9。圖9係繪示根據本發明時間序列訊號之分析方法之一具體實施例中比對預估轉速頻率與頻譜資料以輸出一實際轉速頻率S9 之流程圖。於比對預估轉速頻率與頻譜資料以獲得實際轉速頻率之步驟S9中,進一步包含有下列子步驟:根據預估轉速頻率於頻譜資料中之一預定範圍內擷取一特徵頻率S91;比對特徵頻率與該頻譜資料S92;若特徵頻率符合預估轉速頻率之一頻率對應規則,則將特徵頻率視為實際轉速頻率輸出S93。於某些狀況之下,使用者無法得知控制器預設的主軸轉速確切值,但是可以相對的改變主軸的轉速,例如下達啟動指令、關閉指令、加速指令或減速指令。主動頻率可以從觀察不同時間點的振幅-頻率圖判斷。當不同時間點主軸轉速也不同時,振幅-頻率圖中隨指令變化的頻率即可能為主動頻率。主動頻率可能是從主軸或是和主軸有連動關係之零件所發出;相對的,被動頻率則是不會隨主軸轉速變化的頻率,由和主軸無連動的零件所發出。因此,主軸轉速可以從這些主動頻率中做進一步地計算或篩選。 See Figure 9. FIG. 9 shows a comparison of the estimated rotational frequency and spectrum data to output an actual rotational frequency S9 in a specific embodiment of a method for analyzing time series signals according to the present invention. The flowchart. In step S9 of comparing the estimated rotational frequency with the spectrum data to obtain the actual rotational frequency, the method further includes the following sub-steps: obtaining a characteristic frequency S91 within a predetermined range in the spectral data according to the estimated rotational frequency; The characteristic frequency corresponds to the frequency spectrum data S92; if the characteristic frequency matches a frequency correspondence rule of the estimated rotational frequency, the characteristic frequency is regarded as the actual rotational frequency output S93. Under certain conditions, the user cannot know the exact value of the spindle speed preset by the controller, but can relatively change the spindle speed, such as issuing a start command, a shutdown command, an acceleration command, or a deceleration command. The active frequency can be judged by observing the amplitude-frequency graph at different time points. When the spindle speed is not the same at different time points, the frequency that changes with the command in the amplitude-frequency diagram may be the active frequency. The active frequency may be issued from the main shaft or a part that is in a linked relationship with the main shaft; in contrast, the passive frequency is a frequency that does not change with the main shaft speed and is issued by a part that is not linked to the main shaft. Therefore, the spindle speed can be further calculated or screened from these active frequencies.

其中該頻率對應規則係指特徵頻率於頻譜資料中具有相對應的一次頻、一邊頻或一倍頻。例如當一實際主軸轉速頻率為40Hz,於頻譜資料中可以觀察到80Hz和120Hz有大於雜訊值振幅(noise level)的特徵頻率,此振幅即可能是頻率對應規則中的兩倍頻及三倍頻。若於頻譜資料中可以觀察到20Hz和10Hz亦有大於雜訊值振幅的特徵頻率,此振幅即可能是頻率對應規則中的1/2次頻及1/4次頻。 The frequency correspondence rule means that the characteristic frequency has a corresponding primary frequency, one side frequency, or one octave in the spectrum data. For example, when an actual spindle rotation frequency is 40Hz, it can be observed in the spectrum data that 80Hz and 120Hz have a characteristic frequency greater than the noise level amplitude (noise level). This amplitude may be twice and three times the frequency corresponding to the rule. frequency. If it can be observed in the spectrum data that 20Hz and 10Hz also have characteristic frequencies greater than the amplitude of the noise value, this amplitude may be the 1/2 frequency and 1/4 frequency in the frequency correspondence rule.

請參閱圖3。圖3係繪示根據本發明時間序列訊號之分析方法之一具體實施例中根據預估轉速頻率於頻譜資料中之預定範圍內擷取特徵頻率S91之流程圖。於根據預估轉速頻率於頻譜資料中之預定範圍內擷取特徵頻率之子步驟S91中,進一步包含有下列次步驟:從頻譜資料擷取預估轉速頻率對應之預定範圍S911;從頻譜資料之預定範圍內分離出一主動頻率 S912;輸出主動頻率作為特徵頻率S913。 See Figure 3. FIG. 3 is a flowchart illustrating a method for acquiring a characteristic frequency S91 within a predetermined range in the spectrum data according to the estimated rotational frequency in a specific embodiment of a method for analyzing time series signals according to the present invention. The sub-step S91 of extracting a characteristic frequency in a predetermined range in the spectrum data according to the estimated rotational frequency further includes the following steps: extracting a predetermined range S911 corresponding to the estimated rotational frequency from the spectrum data; Active frequency S912; output the active frequency as the characteristic frequency S913.

於某些狀況之下,於鄰近(約±15%)主軸轉速的頻率間會出現多個振幅相近或起伏的尖峰,難以判斷何者為主軸轉速。但此些尖峰頻率符合頻率對應規則中的邊頻,此時可擷取主軸轉速附近的邊頻以做計算與比對。於另一具體實施例中,於根據時間資料以及相對應的頻率資料以產生主軸之主軸轉速之子步驟S52中,係從振幅-頻率圖中擷取尖峰頻率後,從尖峰頻率中計算出主軸轉速。此時主軸轉速即為複數個尖峰頻率的平均轉速ωave。當ω為尖峰頻率值,F(ω2)為該尖峰頻率在頻譜上對應的振幅值,平均轉速ωave的算式如下:ωave=ʃF(ω2)* ω *d ω Under certain conditions, there may be multiple peaks with similar or fluctuating amplitudes between adjacent (about ± 15%) frequencies of the spindle speed, making it difficult to determine which is the spindle speed. However, these peak frequencies are consistent with the side frequencies in the frequency correspondence rules. At this time, the side frequencies near the spindle speed can be captured for calculation and comparison. In another specific embodiment, in the sub-step S52 of generating the spindle speed of the main shaft according to the time data and the corresponding frequency data, the main shaft speed is calculated from the peak frequency after the peak frequency is extracted from the amplitude-frequency diagram. . At this time, the spindle speed is the average speed ω ave of a plurality of peak frequencies. When ω is the peak frequency value, F (ω 2 ) is the corresponding amplitude value of the peak frequency in the frequency spectrum, and the average rotation speed ω ave is calculated as follows: ω ave = ʃF (ω 2 ) * ω * d ω

於另一具體實施例中,比對預估轉速頻率與頻譜資料以獲得實際轉速頻率之步驟中,進一步包含有一子步驟:若預定範圍中每一特徵頻率皆不符合預估轉速頻率之頻率對應規則,則根據頻率對應規則以頻譜資料計算而獲得實際轉速頻率。意即為根據主動頻率、倍頻、次頻及邊頻的規則重新計算或驗算出實際轉速頻率。 In another embodiment, the step of comparing the estimated rotational frequency with the spectrum data to obtain the actual rotational frequency further includes a sub-step: if each characteristic frequency in the predetermined range does not correspond to the frequency corresponding to the estimated rotational frequency Rule, the actual rotational frequency is obtained from the spectrum data calculation according to the frequency correspondence rule. It means to recalculate or verify the actual speed frequency according to the rules of active frequency, frequency multiplication, secondary frequency and side frequency.

進一步地,頻譜資料中包含有複數個頻率值以及分別對應該等頻率值之複數個振幅值。於根據預估轉速頻率於頻譜資料中之預定範圍內擷取特徵頻率之子步驟中,係為擷取頻譜資料之預定範圍中振幅值大於一雜訊值振幅之頻率值作為特徵頻率。 Further, the frequency spectrum data includes a plurality of frequency values and a plurality of amplitude values corresponding to the frequency values. In the sub-step of acquiring a characteristic frequency within a predetermined range in the spectrum data according to the estimated rotational frequency, a frequency value whose amplitude value is greater than a noise value amplitude in the predetermined range of the spectrum data is acquired as the characteristic frequency.

其中,預定範圍係介於預估轉速頻率之頻率值之85%至預估轉速頻率之頻率值之115%之間。雜訊值振幅係從頻譜資料中每一頻率值對 應的振幅值計算計算訊號均方根值所獲得。計算訊號均方根值XRMS計算式如下:

Figure TWI680370B_D0001
The predetermined range is between 85% of the frequency value of the estimated speed frequency and 115% of the frequency value of the estimated speed frequency. The noise value amplitude is obtained by calculating and calculating the root mean square value of the signal from the amplitude value corresponding to each frequency value in the spectrum data. The calculation formula of the signal rms value X RMS is as follows:
Figure TWI680370B_D0001

接著,再用訊雜比SNRdB找出大於雜訊值振幅的頻率。訊雜比計算式如下:

Figure TWI680370B_D0002
Then, the noise-to-noise ratio SNR dB is used to find the frequency greater than the amplitude of the noise value. The noise-to-noise ratio is calculated as follows:
Figure TWI680370B_D0002

於一具體實施例中,將該時間序列訊號進行頻率分析以產生該組頻譜資料之步驟中,進一步包含有一子步驟:利用微調轉速頻方法以提升該等頻譜資料之一解析度。於一具體實施例中,於測量環境之限制下,量測時間過短(例如不足十秒),使得呈現出相對的振幅-頻率圖中沒有明確的尖峰頻率。本發明於根據時間資料以及相對應的頻率資料以產生主軸之主軸轉速之子步驟中,係利用微調轉速頻方法以提升頻率資料之一解析度(頻率分辨率)。微調轉速頻方法可以係重疊相加摺積法(zero padding)或是邱普變換(Chirp z-transform)法。於一具體實施例中,將不足十秒的振動訊號補至超過十秒,再繼續進行傅立葉轉換。當原振動訊號超過十秒時,解析度可以達到0.1Hz,因此提高了頻率分辨率。 In a specific embodiment, the step of performing frequency analysis on the time-series signal to generate the set of spectrum data further includes a sub-step: using a method of fine-tuning the rotation frequency to improve one of the spectrum data resolutions. In a specific embodiment, due to the limitation of the measurement environment, the measurement time is too short (for example, less than ten seconds), so that there is no clear peak frequency in the relative amplitude-frequency diagram. In the present invention, in the sub-step of generating the spindle speed of the main shaft according to the time data and the corresponding frequency data, the fine-tuning speed-frequency method is used to improve one resolution (frequency resolution) of the frequency data. The fine-tuning speed-frequency method may be an overlap-add-convolution method (zero padding) or a Chirp z-transform method. In a specific embodiment, the vibration signal of less than ten seconds is supplemented to more than ten seconds, and then the Fourier transform is continued. When the original vibration signal exceeds ten seconds, the resolution can reach 0.1Hz, thus improving the frequency resolution.

於一具體實施例中,待測物為一工具機,工具機包含有一主軸以及複數個零件,時間序列訊號係為主軸及該等零件所共同產生,預估轉速頻率係為主軸之一預估主軸轉速頻率,實際轉速頻率係為主軸之一實 際主軸轉速頻率,時間序列訊號之分析方法進一步包含有下列步驟:建立一工具機模型;輸入實際主軸轉速頻率以模擬工具機之運作;計算每一零件之一理論頻率。 In a specific embodiment, the object to be measured is a machine tool. The machine tool includes a main shaft and a plurality of parts. The time series signal is generated by the main shaft and the parts. The estimated speed and frequency are estimated by one of the main shafts. Spindle speed frequency, the actual speed frequency is one of the actual spindle speed The analysis method of the international spindle speed and frequency and time series signal further includes the following steps: establishing a machine tool model; inputting the actual spindle speed and frequency to simulate the operation of the machine tool; and calculating a theoretical frequency of each part.

上述之方法皆為本發明中,精確求得主軸轉速之方法。每種方法可以單獨使用或是合理的合併使用。其目的皆在於使步驟S5中輸入的主軸轉速相等於實際主軸轉速,才能輸出準確的零件零件理論頻率,後續於步驟S6的比對才有判斷的憑藉。 The above methods are all methods for accurately obtaining the spindle speed in the present invention. Each method can be used alone or reasonably combined. The purpose is to make the spindle rotation speed input in step S5 equal to the actual spindle rotation speed in order to output the accurate theoretical frequency of the part. Only after the comparison in step S6 can there be a judgment.

於一具體實施例中,請參閱圖1、圖4、圖6A、圖6B及圖6C。圖6A係繪示根據本發明時間序列訊號之分析方法之一具體實施例中時間資料以及頻率資料經由短時傅立葉轉換計算獲得的一次頻譜圖。圖6B係繪示根據本發明時間序列訊號之分析方法之一具體實施例中的一次頻譜圖經由快速傅立葉轉換計算獲得的二次頻譜圖。圖6C係繪示根據本發明時間序列訊號之分析方法之一具體實施例中的二次頻譜圖經由積分計算獲得的振幅頻率圖。在步驟S3中,時間資料以及相對應的頻率資料係先經由短時傅立葉轉換(short-time Fourier transform)做出一次頻譜圖(圖6A),再用快速傅立葉轉換(fast Fourier transform)將一次頻譜圖重新計算成二次頻譜圖(圖6B)。此時的二次頻譜圖即可以用來分析或擷取零件特徵頻率;或是二次頻譜圖進一步地積分產生振福頻率圖(圖6C),再從中分析或擷取零件特徵頻率。 In a specific embodiment, please refer to FIGS. 1, 4, 6A, 6B, and 6C. FIG. 6A is a primary spectrum diagram obtained by calculating time data and frequency data through short-time Fourier transform calculation in a specific embodiment of a method for analyzing time series signals according to the present invention. FIG. 6B is a diagram illustrating a secondary spectrum obtained by performing a fast Fourier transform calculation on a primary spectrum diagram in a specific embodiment of a method for analyzing a time series signal according to the present invention. FIG. 6C is an amplitude-frequency diagram obtained through integral calculation of a secondary spectrum diagram in a specific embodiment of a method for analyzing a time-series signal according to the present invention. In step S3, the time data and the corresponding frequency data are firstly subjected to a short-time Fourier transform to make a spectrogram (FIG. 6A), and then a fast Fourier transform is used to transform the frequency spectrum once. The figure is recalculated into a quadratic spectrum (Figure 6B). At this time, the secondary spectrum diagram can be used to analyze or extract the characteristic frequency of the part; or the secondary spectrum diagram can be further integrated to generate the vibration frequency diagram (Figure 6C), and then the component characteristic frequency can be analyzed or extracted from it.

於習知技術中,通常是將資料以快速傅立葉轉換做出一次頻譜圖後,即開始進行積分產生振福頻率圖(圖4)並從中分析擷取零件特徵頻率。考量到多數的異音頻率是低於50Hz,將資料直接進行一次傅立葉轉換的方法在展現低頻訊號時卻較為雜亂不顯著(如圖4之區域B所示)。因此,本 發明方法的優點在於低頻的異音分析更為清楚可辨,利於自動性、程序性地判斷異音之質性。 In the conventional technology, usually after the data is converted into a frequency spectrum by a fast Fourier transform, the integration is started to generate a vibration frequency diagram (Figure 4), and the characteristic frequency of the part is extracted from the analysis. Considering that most of the abnormal sound frequencies are lower than 50Hz, the method of directly performing a Fourier transform on the data is more cluttered and inconspicuous when displaying low-frequency signals (as shown in area B in FIG. 4). So this The advantage of the method of the invention is that the analysis of the low-frequency abnormal sound is more clear and distinguishable, which is conducive to judging the quality of the abnormal sound automatically and programmatically.

請參閱圖圖6A、圖6B、圖6C及圖7B。於本實施例中,相較於圖4之區域B,圖6C中的區域C則是可以顯著的呈現出位於9.84Hz時具有一尖峰頻率。擷取此尖峰頻率作為零件特徵頻率,並且於模型中找尋零件理論頻率為9.84Hz的零件。如圖7B中所示,結果發現乘載元件G0和G1的位置S1會產生相同的零件理論頻率。因此,可以推斷此振動訊號中偵測到的低頻異音係來自於S1與S1上的元件G0、G1。若未使用本發明的方法找到正確的主軸轉速,而是於圖7B中輸入預設的1800rpm,則乘載元件G0和G1的位置S1之頻率會是10.0Hz,造成模型中找不到與零件特徵頻率9.84Hz相符的零件。 Please refer to FIGS. 6A, 6B, 6C and 7B. In this embodiment, compared to the area B in FIG. 4, the area C in FIG. 6C can obviously show a peak frequency at 9.84 Hz. This peak frequency is captured as the characteristic frequency of the part, and a part with a theoretical frequency of 9.84 Hz is found in the model. As shown in FIG. 7B, it was found that the position S1 of the riding elements G0 and G1 would produce the same theoretical frequency of the part. Therefore, it can be inferred that the low-frequency abnormal sound detected in this vibration signal comes from the components G0 and G1 on S1 and S1. If the method of the present invention is not used to find the correct spindle speed, but the preset 1800 rpm is entered in FIG. 7B, the frequency of the position S1 of the load components G0 and G1 will be 10.0 Hz, causing no parts and parts to be found in the model The characteristic frequency matches 9.84Hz.

習知技術中,由於零件的轉速受限於主軸轉速,而主軸實際轉速又通常不同於控制器輸出的預估轉速,使得模擬工具機運作獲得的零件轉速經常存有偏差。業界中認為因此模擬工具機以推測零件並不可靠,此方法理論可行但是難以推廣。 In the conventional technology, because the rotation speed of a part is limited by the rotation speed of the spindle, and the actual rotation speed of the spindle is usually different from the estimated rotation speed output by the controller, the rotation speed of the part obtained by the simulation of the machine tool operation often has deviations. The industry believes that it is not reliable to simulate machine tools to infer parts, and this method is theoretically feasible but difficult to generalize.

相較於習知技術,為了達成精準的模擬待測物運作來獲得每一零件各自對應之一零件理論頻率,本發明提出了計算實際主軸轉速的方法。本方法將該時間序列訊號進行數據化分析或視覺化分析已得到頻譜資料。輸入的預估轉速頻率需比對頻譜資料,用物理性的頻率規則推算及驗算,才能輸出精確的實際轉速頻率。因此,利用本發明之方法找到的實際轉速頻率代入待測物模型中,可以找出發出時間序列訊號的零件。本發明應用在異音訊號分析時,可使判斷不再依賴人力與經驗,而是系統化並且 有效率的建立一個異音判斷標準,解決了此領域中,品管、交貨、檢測、監測、維修等多個面向的習知問題。 Compared with the conventional technology, in order to achieve accurate simulation of the operation of the test object to obtain the theoretical frequency of each part corresponding to each part, the present invention proposes a method for calculating the actual spindle speed. In this method, the time series signals are subjected to data analysis or visual analysis to obtain spectrum data. The input estimated rotational frequency needs to be compared with the frequency spectrum data, and the physical frequency rule is used to estimate and check the calculation to output the accurate actual rotational frequency. Therefore, the actual rotational frequency found by the method of the present invention is substituted into the model of the object to be tested, and the parts emitting time series signals can be found. When the invention is applied to the analysis of abnormal sound signals, the judgment can no longer rely on manpower and experience, but can be systematic and Efficiently establish a standard for different sound judgments, and solve many problems in this field, such as quality control, delivery, testing, monitoring, and maintenance.

藉由以上較佳具體實施例之詳述,係希望能更加清楚描述本發明之特徵與精神,而並非以上述所揭露的較佳具體實施例來對本發明之範疇加以限制。相反地,其目的是希望能涵蓋各種改變及具相等性的安排於本發明所欲申請之專利範圍的範疇內。因此,本發明所申請之專利範圍的範疇應該根據上述的說明作最寬廣的解釋,以致使其涵蓋所有可能的改變以及具相等性的安排。 With the above detailed description of the preferred embodiments, it is hoped that the features and spirit of the present invention can be more clearly described, and the scope of the present invention is not limited by the preferred embodiments disclosed above. On the contrary, the intention is to cover various changes and equivalent arrangements within the scope of the patents to be applied for in the present invention. Therefore, the scope of the patent scope of the present invention should be interpreted in the broadest sense according to the above description, so that it covers all possible changes and equal arrangements.

Claims (10)

一種時間序列訊號之分析方法,用以分析一待測物於運作時所產生之一時間序列訊號,其步驟包含有:量測該時間序列訊號;將該時間序列訊號進行頻率分析以產生一組頻譜資料;輸入該待測物之一預估轉速頻率;以及比對該預估轉速頻率與該頻譜資料以輸出一實際轉速頻率。A time series signal analysis method is used to analyze a time series signal generated by a DUT during operation. The steps include: measuring the time series signal; performing frequency analysis on the time series signal to generate a group Spectrum data; input one of the estimated rotational frequency of the object to be tested; and compare the estimated rotational frequency with the spectral data to output an actual rotational frequency. 如申請專利範圍第1項所述之時間序列訊號之分析方法,其中於比對該預估轉速頻率與該頻譜資料以獲得該實際轉速頻率之步驟中,進一步包含有下列子步驟:根據該預估轉速頻率於該頻譜資料中之一預定範圍內擷取一特徵頻率;比對該特徵頻率與該頻譜資料;以及若該特徵頻率符合該預估轉速頻率之一頻率對應規則,則將該特徵頻率視為該實際轉速頻率輸出。According to the method of analyzing the time series signal as described in item 1 of the scope of patent application, the step of comparing the estimated rotational frequency with the spectrum data to obtain the actual rotational frequency further includes the following sub-steps: The estimated rotational frequency is used to extract a characteristic frequency within a predetermined range in the spectrum data; compare the characteristic frequency with the spectral data; and if the characteristic frequency matches a frequency correspondence rule of the estimated rotational frequency, the characteristic is The frequency is regarded as the actual rotational frequency output. 如申請專利範圍第2項所述之時間序列訊號之分析方法,其中該頻率對應規則係指該特徵頻率於該頻譜資料中具有相對應的一次頻、一邊頻或一倍頻。The analysis method of the time-series signal according to item 2 of the scope of patent application, wherein the frequency correspondence rule means that the characteristic frequency has a corresponding primary frequency, one side frequency, or one octave in the spectrum data. 如申請專利範圍第2項所述之時間序列訊號之分析方法,其中於根據該預估轉速頻率於該頻譜資料中之該預定範圍內擷取該特徵頻率之子步驟中,進一步包含有下列次步驟:從該頻譜資料擷取該預估轉速頻率前後之該預定範圍;從該頻譜資料之該預定範圍內分離出一主動頻率;以及輸出該主動頻率作為該特徵頻率。The method for analyzing a time series signal as described in item 2 of the scope of patent application, wherein the sub-step of acquiring the characteristic frequency in the predetermined range in the spectrum data according to the estimated rotational frequency further includes the following steps : Extracting the predetermined range before and after the estimated rotational frequency from the spectrum data; separating an active frequency from the predetermined range of the spectrum data; and outputting the active frequency as the characteristic frequency. 如申請專利範圍第2項所述之時間序列訊號之分析方法,其中於根據該預估轉速頻率於該頻譜資料中之一預定範圍內擷取一特徵頻率之子步驟中,係從該預定範圍中擷取一尖峰頻率,並從該尖峰頻率中計算出該特徵頻率。The method for analyzing a time-series signal according to item 2 of the scope of patent application, wherein in the sub-step of extracting a characteristic frequency within a predetermined range in the spectrum data according to the estimated rotational frequency, it is from the predetermined range. A spike frequency is captured, and the characteristic frequency is calculated from the spike frequency. 如申請專利範圍第2項所述之時間序列訊號之分析方法,其中於比對該預估轉速頻率與該頻譜資料以獲得該實際轉速頻率之步驟中,進一步包含有一子步驟:若該預定範圍中每一該特徵頻率皆不符合該預估轉速頻率之該頻率對應規則,則根據該頻率對應規則以該頻譜資料計算而獲得該實際轉速頻率。According to the method of analyzing the time-series signal described in item 2 of the scope of patent application, the step of comparing the estimated rotational frequency with the spectrum data to obtain the actual rotational frequency further includes a sub-step: if the predetermined range Each of the characteristic frequencies does not conform to the frequency corresponding rule of the estimated rotational frequency, and then the actual rotational frequency is obtained by calculating from the frequency spectrum data according to the frequency corresponding rule. 如申請專利範圍第2項所述之時間序列訊號之分析方法,其中該頻譜資料中包含有複數個頻率值以及分別對應該等頻率值之複數個振幅值,於根據該預估轉速頻率於該頻譜資料中之該預定範圍內擷取該特徵頻率之子步驟中,係為擷取該頻譜資料之該預定範圍中該振幅值大於一雜訊值振幅(noise level)之該頻率值作為該特徵頻率。The analysis method of the time-series signal as described in the second item of the patent application scope, wherein the frequency spectrum data includes a plurality of frequency values and a plurality of amplitude values corresponding to the frequency values, respectively. In the sub-step of acquiring the characteristic frequency in the predetermined range in the spectrum data, the frequency value in which the amplitude value in the predetermined range of the spectrum data is greater than a noise level amplitude is used as the characteristic frequency. . 如申請專利範圍第7項所述之時間序列訊號之分析方法,其中該預定範圍係介於該預估轉速頻率之該頻率值之85%至該預估轉速頻率之該頻率值之115%之間,且該雜訊值振幅係從該頻譜資料中每一該頻率值對應的該振幅值計算訊號均方根值。The method for analyzing a time-series signal as described in item 7 of the patent application range, wherein the predetermined range is between 85% of the frequency value of the estimated speed frequency and 115% of the frequency value of the estimated speed frequency And the noise value amplitude is calculated from the amplitude value corresponding to each of the frequency values in the spectrum data. 如申請專利範圍第1項所述之時間序列訊號之分析方法,其中於將該時間序列訊號進行頻率分析以產生該組頻譜資料之步驟中,進一步包含有一子步驟:利用微調轉速頻方法以提升該等頻譜資料之一解析度;其中該微調轉速頻方法係重疊相加摺積法(zero padding)或是邱普變換法(Chirp z-transform)。According to the method for analyzing time series signals as described in item 1 of the scope of patent application, the step of performing frequency analysis on the time series signals to generate the set of spectrum data further includes a sub-step: fine-tuning the speed-frequency method to improve One of the resolutions of the spectral data; wherein the fine-tuning speed-frequency method is an overlap-and-add method (zero padding) or a Chirp z-transform method. 如申請專利範圍第1項所述之時間序列訊號之分析方法,其中該待測物為一工具機,該工具機包含有一主軸以及複數個零件,該時間序列訊號係為該主軸及該等零件所共同產生,該預估轉速頻率係為該主軸之一預估主軸轉速頻率,該實際轉速頻率係為該主軸之一實際主軸轉速頻率,時間序列訊號之分析方法進一步包含有下列步驟:建立一工具機模型;輸入該實際主軸轉速頻率以模擬該工具機之運作;以及計算每一零件之一零件理論頻率。According to the method of analyzing the time-series signals described in item 1 of the scope of patent application, wherein the object to be measured is a machine tool, the machine tool includes a spindle and a plurality of parts, and the time-series signals are the spindle and the parts As a result, the estimated rotation speed frequency is an estimated rotation speed frequency of one of the spindles, the actual rotation speed frequency is an actual rotation speed frequency of one of the spindles, and the analysis method of the time series signal further includes the following steps: Machine tool model; input the actual spindle speed frequency to simulate the operation of the machine tool; and calculate the theoretical frequency of one part for each part.
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