JP2012111020A - Vibration suppressing device for machining tool and method thereof - Google Patents

Vibration suppressing device for machining tool and method thereof Download PDF

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JP2012111020A
JP2012111020A JP2010264035A JP2010264035A JP2012111020A JP 2012111020 A JP2012111020 A JP 2012111020A JP 2010264035 A JP2010264035 A JP 2010264035A JP 2010264035 A JP2010264035 A JP 2010264035A JP 2012111020 A JP2012111020 A JP 2012111020A
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vibration
value
rotation speed
calculated
chatter vibration
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JP5683234B2 (en
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Hajime Ishii
肇 石井
Akihide Hamaguchi
顕秀 浜口
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Okuma Corp
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Okuma Machinery Works Ltd
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Abstract

PROBLEM TO BE SOLVED: To suitably suppress chattering vibration without decreasing the machining efficiency.SOLUTION: A controller 11 of a vibration suppressing device 10 includes: an NC unit 12; an arithmetic unit 13 for performing Fourier analysis based on vibration acceleration in a time domain detected by a vibration sensor 7; a storage unit 14 for storing a calculated value calculated by the arithmetic unit 13, chatter vibration suppression history, etc.; a display unit 15 for displaying a result calculated by the arithmetic unit 13, or a result of calculation based on the calculated result; and an operating device 16 for an operator to perform an input operation to the NC unit 12. When occurrence of chattering vibration is detected, the arithmetic unit 13 calculates a k' value by dividing a numerical value sixty times as many as a chatter vibration frequency by the product of the number of cutting edges of a tool and a rotation speed of a rotary shaft, and determines whether the calculated k' value is less than one. If the calculated k' value is less than one, the rotation speed is changed to a rising side to suppress the chatter vibration.

Description

本発明は、工具又はワークを回転させる回転軸を備えた工作機械において、回転軸の回転に伴って発生するびびり振動を抑制するための振動抑制装置及びその方法に関するものである。   The present invention relates to a vibration suppressing device and a method for suppressing chatter vibration generated with rotation of a rotating shaft in a machine tool including a rotating shaft that rotates a tool or a workpiece.

従来、回転軸である主軸に工具又はワークを支持させ、工具又はワークを送りながら相対運動させてワークに加工を施すといった工作機械が知られている。このような工作機械においては、切削加工における切込量を大きくしすぎると、加工中に「びびり振動」が発生して、加工面の仕上げ精度の悪化、急速な工具磨耗、工具欠損などの問題が生じる。このびびり振動抑制の対策として、特許文献1,2に記載されているように、びびり振動周波数を特定して、例えば特許文献2では以下の(1)(2)式を用いて、その結果から最適回転速度を導いて振動抑制処置を行う技術が考案されている。   2. Description of the Related Art Conventionally, a machine tool is known in which a tool or a work is supported on a main shaft that is a rotating shaft, and the work is processed by moving the tool or the work while moving the tool or the work. In such a machine tool, if the depth of cut in the cutting process is too large, chatter vibration will occur during machining, resulting in problems such as deterioration of the finishing accuracy of the machined surface, rapid tool wear, and tool chipping. Occurs. As a countermeasure against the chatter vibration suppression, as described in Patent Documents 1 and 2, the chatter vibration frequency is specified. For example, in Patent Document 2, the following formulas (1) and (2) are used. A technique has been devised that guides the optimum rotational speed and performs vibration suppression treatment.

n=60fc/{(k+1)N} ・・・(1)
k’=60fc/(nN) ・・・(2)
nは演算によって求めた最適回転速度、nは現在の回転速度、Nは工具の刃数、fcは検出されたびびり振動周波数、kはk’(被削面上に転写される振動の1刃ピッチ内の数)の整数部分である。
n = 60fc / {(k + 1) N} (1)
k ′ = 60fc / (n 0 N) (2)
n is the optimum rotational speed obtained by calculation, n 0 is the current rotational speed, N is the number of blades of the tool, fc is the detected vibration frequency, k is k ′ (one blade of vibration transferred onto the work surface The integer part of the number in the pitch).

特表2001−517557号公報JP-T-2001-517557 特開2007−44852号公報JP 2007-44852 A

しかし、上記特許文献1,2による振動抑制処理は、上記(1)(2)に基づいて自動的に最適回転速度を算出するため、k’<1の場合には単純に回転速度を上げるだけで振動抑制効果が得られるにもかかわらず、最適回転速度nが現在の回転速度nよりも小さくなることがある。このように回転速度が小さくなることで加工効率の低下に繋がってしまう。 However, since the vibration suppression processing according to Patent Documents 1 and 2 automatically calculates the optimum rotation speed based on the above (1) and (2), when k ′ <1, the rotation speed is simply increased. in spite of the vibration suppression effect is obtained, there is the optimum rotational speed n is smaller than the current rotational speed n 0. Thus, the reduction in the rotational speed leads to a reduction in processing efficiency.

そこで、本発明は、加工効率を低下させることなくびびり振動の好適な抑制が可能となる工作機械の振動抑制装置及び方法を提供することを目的としたものである。   Accordingly, an object of the present invention is to provide a vibration suppression device and method for a machine tool that can suitably suppress chatter vibration without reducing machining efficiency.

上記目的を達成するために、請求項1に記載の発明は、工具又はワークを回転させる回転軸を備えた工作機械において、前記回転軸の回転に伴って発生するびびり振動を前記回転軸の回転速度の変更によって抑制する振動抑制装置であって、
前記びびり振動の発生を検出する振動検出手段と、前記びびり振動の発生が検出されると、びびり振動周波数の60倍の数値を工具刃数と前記回転軸の回転速度との積で除してk’値を算出するk’値算出手段と、算出された前記k’値が1未満か否かを判別する判別手段と、を備え、前記判別手段による判別で前記k’値が1未満であれば、前記回転速度を上昇側へ変更して前記びびり振動を抑制することを特徴とするものである。
請求項2に記載の発明は、請求項1の構成において、前記判別手段の判別結果を表示する表示手段を備えることを特徴とするものである。
上記目的を達成するために、請求項3に記載の発明は、工具又はワークを回転させる回転軸を備えた工作機械において、前記回転軸の回転に伴って発生するびびり振動を前記回転軸の回転速度の変更によって抑制する振動抑制方法であって、
前記びびり振動の発生を検出する振動検出ステップと、前記びびり振動の発生が検出されると、びびり振動周波数の60倍の数値を工具刃数と前記回転軸の回転速度との積で除してk’値を算出するk’値算出ステップと、算出された前記k’値が1未満か否かを判別する判別ステップと、前記判別ステップによる判別で前記k’値が1未満であれば、前記回転速度を上昇側へ変更する回転速度変更ステップと、を実行することを特徴とするものである。
請求項4に記載の発明は、請求項3の構成において、前記判別ステップと回転速度変更ステップとの間に、前記判別ステップでの判別結果を表示する表示ステップを実行することを特徴とするものである。
In order to achieve the above object, according to a first aspect of the present invention, there is provided a machine tool including a rotary shaft for rotating a tool or a workpiece, wherein chatter vibration generated with the rotation of the rotary shaft is subjected to rotation of the rotary shaft. A vibration suppression device that suppresses by changing speed,
Vibration detection means for detecting the occurrence of chatter vibration, and when the occurrence of chatter vibration is detected, a value 60 times the chatter vibration frequency is divided by the product of the number of tool blades and the rotation speed of the rotary shaft. k ′ value calculating means for calculating a k ′ value, and determining means for determining whether or not the calculated k ′ value is less than 1, wherein the k ′ value is less than 1 as determined by the determining means. If there is, the chatter vibration is suppressed by changing the rotational speed to the rising side.
According to a second aspect of the present invention, in the configuration of the first aspect of the present invention, the display unit displays a determination result of the determination unit.
In order to achieve the above object, according to a third aspect of the present invention, there is provided a machine tool including a rotary shaft for rotating a tool or a workpiece, wherein chatter vibration generated with the rotation of the rotary shaft is subjected to rotation of the rotary shaft. A vibration suppression method that suppresses by changing speed,
A vibration detection step for detecting occurrence of chatter vibration, and when occurrence of chatter vibration is detected, a value 60 times the chatter vibration frequency is divided by the product of the number of tool blades and the rotation speed of the rotary shaft. a k ′ value calculating step for calculating a k ′ value, a determining step for determining whether or not the calculated k ′ value is less than 1, and if the k ′ value is less than 1 in the determination by the determining step, And a rotation speed changing step for changing the rotation speed to the rising side.
According to a fourth aspect of the present invention, in the configuration of the third aspect, a display step for displaying a determination result in the determination step is executed between the determination step and the rotation speed changing step. It is.

請求項1及び3に記載の発明によれば、k’<1であれば回転速度を上昇側へ変更して振動抑制を行うので、加工効率を低下させることなくびびり振動の好適な抑制が可能となる。
請求項2及び4に記載の発明によれば、上記効果に加えて、k’<1であるか否かが確実に判別でき、オペレータによる回転速度の変更も簡単に可能となる。
According to the first and third aspects of the present invention, if k ′ <1, the rotational speed is changed to the higher side to suppress the vibration, and thus the chatter vibration can be suitably suppressed without reducing the processing efficiency. It becomes.
According to the second and fourth aspects of the invention, in addition to the above effect, whether or not k ′ <1 can be reliably determined, and the rotation speed can be easily changed by the operator.

工作機械の振動抑制装置のブロック構成を示した説明図である。It is explanatory drawing which showed the block structure of the vibration suppression apparatus of a machine tool. びびり振動の抑制制御に係るフローチャートである。It is a flowchart which concerns on suppression control of chatter vibration. 安定限界線図の説明図である。It is explanatory drawing of a stability limit diagram. びびり振動の抑制制御の変更例に係るフローチャートである。It is a flowchart which concerns on the example of a change of suppression control of chatter vibration.

以下、本発明の実施の形態を図面に基づいて説明する。
図1は、工作機械の一例である立形マシニングセンタ及び立形マシニングセンタに設けられる振動抑制装置を概略で示した構成図である。
まず、立形マシニングセンタ1は、上方に設けた主軸頭2にC軸回りで回転自在な回転軸としての主軸3を設け、その主軸3に取り付けた工具4によって、下方の加工テーブル5上にセットされたワーク6を加工する周知の構成で、NC装置12が、NCプログラムに従って主軸3の回転を制御すると共に、図示しない自動工具交換装置によって工具4を自動交換可能となっている。
Hereinafter, embodiments of the present invention will be described with reference to the drawings.
FIG. 1 is a configuration diagram schematically showing a vertical machining center as an example of a machine tool and a vibration suppressing device provided in the vertical machining center.
First, the vertical machining center 1 is provided with a spindle 3 as a rotary shaft that is rotatable around a C axis on a spindle head 2 provided above, and is set on a machining table 5 below by a tool 4 attached to the spindle 3. The NC device 12 controls the rotation of the spindle 3 in accordance with the NC program, and the tool 4 can be automatically changed by an automatic tool changer (not shown).

振動抑制装置10は、主軸3に生じる「びびり振動」を制御するためのものであって、回転中の主軸3に生じる時間領域の振動加速度を検出するための振動センサ7と、該振動センサ7による検出値をもとにして主軸3の回転速度を制御する制御装置11とを備えている。
制御装置11は、NC装置12と、振動センサ7から検出される時間領域の振動加速度をもとにしたフーリエ解析を行う演算装置13と、演算装置13で演算された演算値やびびり振動の抑制履歴等を記憶する記憶装置14と、演算装置13にて演算された結果、もしくはその結果を基にした計算結果を表示する表示手段としての表示装置15と、NC装置12にオペレータが入力操作する操作装置16とを備えている。演算装置13が振動センサ7と共に振動検出手段を構成すると共に、k’値算出手段及び判別手段としても機能する。
The vibration suppressing device 10 is for controlling “chatter vibration” generated on the main shaft 3, and includes a vibration sensor 7 for detecting vibration acceleration in the time domain generated on the rotating main shaft 3, and the vibration sensor 7. And a control device 11 for controlling the rotational speed of the main shaft 3 based on the detected value obtained by the above.
The control device 11 includes an NC device 12, a calculation device 13 that performs Fourier analysis based on vibration acceleration in the time domain detected by the vibration sensor 7, and suppression of calculation values and chatter vibrations calculated by the calculation device 13. An operator performs an input operation on the storage device 14 for storing the history, the display device 15 as a display means for displaying the result calculated by the arithmetic device 13 or the calculation result based on the result, and the NC device 12. And an operating device 16. The arithmetic device 13 constitutes a vibration detection means together with the vibration sensor 7 and also functions as a k ′ value calculation means and a discrimination means.

以下、制御装置11における「びびり振動」の抑制制御について、図2のフローチャートに基づいて説明する。
まず、S1で任意の初期回転速度を設定し、S2で加工を開始する。加工中には、振動センサ7から得られる加工中の振動加速度を検出して、演算装置13で周波数領域の加速度に変換し(S3)、S4でびびり振動の発生を判別する(振動検出ステップ)。この判別は、S3で得られた最大加速度の値を予め設定した閾値と比較することで行い、最大加速度が閾値を越えた場合には、びびり振動が発生したと判断して、S5でそのときの回転速度とびびり周波数とを記憶装置14に記憶する。
Hereinafter, suppression control of “chatter vibration” in the control device 11 will be described based on the flowchart of FIG. 2.
First, an arbitrary initial rotation speed is set in S1, and machining is started in S2. During machining, vibration acceleration during machining obtained from the vibration sensor 7 is detected and converted into acceleration in the frequency domain by the arithmetic unit 13 (S3), and occurrence of chatter vibration is determined at S4 (vibration detection step). . This determination is performed by comparing the maximum acceleration value obtained in S3 with a preset threshold value. If the maximum acceleration exceeds the threshold value, it is determined that chatter vibration has occurred, and then in S5, Are stored in the storage device 14.

次に、S6で演算装置13は、S5で記憶した回転速度と振動状態とを関連付けた結果を演算して、その演算結果として、図3に示すような回転速度と加工の安定限界との関係を表す安定限界線図を作成して表示装置15に表示する(S7)。同時に演算装置13は、先の背景技術で示した式(2)を用いてk’値を演算し(k’値算出ステップ)、算出されたk’値が1未満であるか否かを判別して(判別ステップ)表示装置15に表示する(表示ステップ)。
安定限界線図は、横軸が回転速度、縦軸が限界切込量で、曲線の下側が安定領域であり、上側が不安定領域であることを示している。また、点線Aは、k’=1となる回転速度で、点線Aの右側がk’<1、左側がk’>1の領域となる。さらに、点線Bは初期回転速度、点線Cは工具限界回転速度である。
Next, in S6, the computing device 13 computes the result of associating the rotational speed stored in S5 with the vibration state, and the relation between the rotational speed and machining stability limit as shown in FIG. Is created and displayed on the display device 15 (S7). At the same time, the arithmetic device 13 calculates the k ′ value using the equation (2) shown in the background art above (k ′ value calculation step), and determines whether or not the calculated k ′ value is less than 1. (Determination step) is displayed on the display device 15 (display step).
The stability limit diagram shows that the horizontal axis is the rotational speed, the vertical axis is the limit cut amount, the lower side of the curve is the stable region, and the upper side is the unstable region. The dotted line A is a rotational speed at which k ′ = 1, and the right side of the dotted line A is an area where k ′ <1 and the left side is k ′> 1. Further, the dotted line B is the initial rotational speed, and the dotted line C is the tool limit rotational speed.

よって、オペレータは、S8においてk’<1であるか否かを確認し、k’<1(S8でYES)であれば、操作装置16の入力により、S9で右側領域内での工具の限界周速を考慮した安定回転速度(点線D)まで回転速度を上昇させる(回転速度変更ステップ)。この安定回転速度では回転速度が上昇側へ移行すると共に、限界切込量も大きくなるため、加工効率を向上させることができる。
一方、k’≧1(S8でNO)であれば、オペレータは安定限界線図を参照しながら左側領域内で回転速度を選択して操作装置16に入力し、回転速度を変更する(S10)。
Therefore, the operator checks whether or not k ′ <1 in S8, and if k ′ <1 (YES in S8), the limit of the tool in the right region in S9 is input by the operation device 16. The rotational speed is increased to a stable rotational speed (dotted line D) considering the peripheral speed (rotational speed changing step). At this stable rotational speed, the rotational speed shifts to the rising side and the limit cutting amount increases, so that the machining efficiency can be improved.
On the other hand, if k ′ ≧ 1 (NO in S8), the operator selects the rotational speed in the left region while referring to the stability limit diagram, inputs it to the operating device 16, and changes the rotational speed (S10). .

そして、S9,10で回転速度を変更した後、S11の判別で加工終了でなければ、再びS3に戻って振動加速度を検出する。そして、続くS4の判別でびびりが発生していなければ、S11で加工終了となるまで変更した回転速度で加工が行われる。S4でびびり発生が確認されれば、S5〜S10の処理を繰り返して回転速度の変更を行う。   Then, after changing the rotation speed in S9 and S10, if the processing is not finished in the determination of S11, the process returns to S3 again to detect the vibration acceleration. If chatter does not occur in the subsequent determination of S4, the machining is performed at the changed rotation speed until the machining is finished in S11. If chattering is confirmed in S4, the processing of S5 to S10 is repeated to change the rotation speed.

このように、上記形態の振動抑制装置10及び振動抑制方法によれば、びびり振動の発生が検出されると、k’値を算出してこれが1未満か否かを判別し、1未満であれば回転速度を上昇側へ変更してびびり振動を抑制するようにしているので、加工効率を低下させることなくびびり振動の好適な抑制が可能となる。
特にここでは、k’<1か否かの判別結果を表示装置15に表示させているので、k’値が1未満であるか否かが確実に判別でき、オペレータによる回転速度の変更も簡単に行える。
As described above, according to the vibration suppression device 10 and the vibration suppression method of the above embodiment, when occurrence of chatter vibration is detected, the k ′ value is calculated to determine whether this is less than 1 or not. For example, since the chatter vibration is suppressed by changing the rotation speed to the increasing side, the chatter vibration can be suitably suppressed without reducing the machining efficiency.
In particular, here, since the determination result of whether k ′ <1 is displayed on the display device 15, it is possible to reliably determine whether the k ′ value is less than 1, and the operator can easily change the rotation speed. Can be done.

なお、上記形態では、k’<1であるか否かを確認した後、その表示結果を受けてオペレータが任意に回転速度を変更するようにしているが、図4のフローチャートで示すように、S8でk’<1の場合は、演算装置13が工具の限界周速を考慮した上昇側の回転速度を演算して当該回転速度を表示させ(S9)、S8でk’≧1の場合は、先の背景技術で示した式(1)を用いて回転速度を演算して当該回転速度を表示させて(S10)、それぞれの表示に従ってオペレータがS11で回転速度を変更するようにしてもよい。
また、オペレータの入力指令による回転速度の変更に限らず、S8の判別結果に基づいて演算装置13が自動的に変更すべき回転速度を演算し、NC装置12に変更させるようにしても差し支えない。
In the above embodiment, after confirming whether k ′ <1 or not, the operator arbitrarily changes the rotation speed in response to the display result. However, as shown in the flowchart of FIG. If k ′ <1 in S8, the calculation device 13 calculates the rotational speed on the ascending side in consideration of the limit peripheral speed of the tool and displays the rotational speed (S9). If k ′ ≧ 1 in S8, Then, the rotational speed may be calculated using the equation (1) shown in the background art and the rotational speed is displayed (S10), and the operator may change the rotational speed in S11 according to each display. .
Further, the rotation speed is not limited to the change by the operator's input command, and the calculation device 13 may automatically calculate the rotation speed to be changed based on the determination result of S8, and the NC device 12 may change the rotation speed. .

一方、工作機械からの振動の検出には、振動センサの他、マイク、位置・回転検出器、主軸・送り軸モータの電流を用いることができ、回転速度と振動状態とを関連付けた結果の表示も、安定限界線図に限らず、回転速度と振動加速度との関係のグラフにしたり、振動周波数や切削速度、送り速度、回転軸トルク等を使用して表示したりしても差し支えない。勿論このような図やグラフの表示を省略して、k’<1であるか否かのみを表示することもできるし、先述したように判別結果に基づいて演算装置が回転速度を自動変更させるのであれば、k’<1であるかの表示自体も省略することができる。
その他、工作機械としては立形マシニングセンタに限らず、回転軸に装着したワークを回転させて加工を行うNC旋盤等の他の工作機械であっても本発明は適用可能である。
On the other hand, in addition to the vibration sensor, the current of the microphone, position / rotation detector, spindle / feed shaft motor can be used to detect vibration from the machine tool, and the result of associating the rotational speed with the vibration state is displayed. However, the graph is not limited to the stability limit diagram, and may be a graph showing the relationship between the rotational speed and the vibration acceleration, or may be displayed using the vibration frequency, the cutting speed, the feed speed, the rotation shaft torque, or the like. Of course, it is possible to omit the display of such figures and graphs and display only whether k ′ <1 or not, and the arithmetic unit automatically changes the rotation speed based on the determination result as described above. In this case, the display of k ′ <1 can be omitted.
In addition, the machine tool is not limited to a vertical machining center, and the present invention can be applied to other machine tools such as an NC lathe that performs machining by rotating a workpiece mounted on a rotary shaft.

1・・立形マシニングセンタ、2・・主軸頭、3・・主軸、4・・工具、6・・ワーク、7・・振動センサ、10・・振動抑制装置、11・・制御装置、12・・NC装置、13・・演算装置、14・・記憶装置、15・・表示装置、16・・操作装置。   1 .. Vertical machining center 2... Spindle head 3.. Spindle 4. NC device, 13 ... arithmetic device, 14 ... storage device, 15 ... display device, 16 ... operation device.

Claims (4)

工具又はワークを回転させる回転軸を備えた工作機械において、前記回転軸の回転に伴って発生するびびり振動を前記回転軸の回転速度の変更によって抑制する振動抑制装置であって、
前記びびり振動の発生を検出する振動検出手段と、
前記びびり振動の発生が検出されると、びびり振動周波数の60倍の数値を工具刃数と前記回転軸の回転速度との積で除してk’値を算出するk’値算出手段と、
算出された前記k’値が1未満か否かを判別する判別手段と、を備え、
前記判別手段による判別で前記k’値が1未満であれば、前記回転速度を上昇側へ変更して前記びびり振動を抑制することを特徴とする工作機械の振動抑制装置。
In a machine tool provided with a rotating shaft for rotating a tool or a workpiece, a vibration suppressing device that suppresses chatter vibration generated with rotation of the rotating shaft by changing the rotation speed of the rotating shaft,
Vibration detecting means for detecting occurrence of chatter vibration;
When the occurrence of chatter vibration is detected, k ′ value calculating means for calculating a k ′ value by dividing a numerical value 60 times the chatter vibration frequency by the product of the number of tool blades and the rotational speed of the rotary shaft;
Discriminating means for discriminating whether or not the calculated k ′ value is less than 1;
If the k ′ value is less than 1 as determined by the determination means, the rotation speed is changed to an increase side to suppress the chatter vibration, and a vibration suppression device for a machine tool.
前記判別手段の判別結果を表示する表示手段を備えることを特徴とする請求項1に記載の工作機械の振動抑制装置。   2. The machine tool vibration suppression device according to claim 1, further comprising display means for displaying a discrimination result of the discrimination means. 工具又はワークを回転させる回転軸を備えた工作機械において、前記回転軸の回転に伴って発生するびびり振動を前記回転軸の回転速度の変更によって抑制する振動抑制方法であって、
前記びびり振動の発生を検出する振動検出ステップと、
前記びびり振動の発生が検出されると、びびり振動周波数の60倍の数値を工具刃数と前記回転軸の回転速度との積で除してk’値を算出するk’値算出ステップと、
算出された前記k’値が1未満か否かを判別する判別ステップと、
前記判別ステップによる判別で前記k’値が1未満であれば、前記回転速度を上昇側へ変更する回転速度変更ステップと、
を実行することを特徴とする工作機械の振動抑制方法。
In a machine tool provided with a rotating shaft for rotating a tool or a workpiece, a vibration suppressing method for suppressing chatter vibration generated with rotation of the rotating shaft by changing the rotation speed of the rotating shaft,
A vibration detecting step for detecting occurrence of the chatter vibration;
When the occurrence of chatter vibration is detected, a k ′ value calculating step of calculating a k ′ value by dividing a numerical value 60 times the chatter vibration frequency by the product of the number of tool blades and the rotation speed of the rotary shaft;
A determination step of determining whether or not the calculated k ′ value is less than 1;
If the k ′ value is less than 1 in the determination in the determination step, a rotation speed changing step for changing the rotation speed to the rising side;
A vibration suppression method for machine tools, characterized in that
前記判別ステップと回転速度変更ステップとの間に、前記判別ステップでの判別結果を表示する表示ステップを実行することを特徴とする請求項3に記載の工作機械の振動抑制方法。   4. The vibration suppression method for a machine tool according to claim 3, wherein a display step for displaying a determination result in the determination step is executed between the determination step and the rotation speed changing step.
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