JP4836161B2 - Rotary cutting tool - Google Patents

Rotary cutting tool Download PDF

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JP4836161B2
JP4836161B2 JP2004339536A JP2004339536A JP4836161B2 JP 4836161 B2 JP4836161 B2 JP 4836161B2 JP 2004339536 A JP2004339536 A JP 2004339536A JP 2004339536 A JP2004339536 A JP 2004339536A JP 4836161 B2 JP4836161 B2 JP 4836161B2
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circular saw
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悟 西尾
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Kanefusa KK
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Description

この発明は、回転切削工具に関するものであり、更に詳細には、各切削歯を不等ピッチ角で設けた回転切削工具に関するものである。   The present invention relates to a rotary cutting tool, and more particularly to a rotary cutting tool in which cutting teeth are provided at unequal pitch angles.

金属等の被切削物(ワーク)を切断・加工する際に使用される回転切削工具として、例えば、円形の本体外周部分に複数の切削歯が放射状に突出するよう配設された丸鋸が知られている。図5は、従来使用されている丸鋸10の一部を示す拡大図であって、夫々の切削歯12が、互いに一定間隔だけ離間した等ピッチ角θで本体外周縁に設けられている。また、前記切削歯12から丸鋸10の回転中心Oまでの離間距離(切削半径)R0は、何れの切削歯12においても一定となっている。 As a rotary cutting tool used when cutting and processing a workpiece such as metal, for example, a circular saw in which a plurality of cutting teeth are radially projected on the outer peripheral portion of a circular main body is known. It has been. FIG. 5 is an enlarged view showing a part of a circular saw 10 conventionally used, and each cutting tooth 12 is provided on the outer peripheral edge of the main body at an equal pitch angle θ spaced apart from each other by a fixed interval. Further, a separation distance (cutting radius) R 0 from the cutting tooth 12 to the rotation center O of the circular saw 10 is constant in any cutting tooth 12.

前記丸鋸10を使用して切削を行なう場合、前述のように、各切削歯12は等ピッチ角θで配設されているので、丸鋸10のワーク14を切削する相対送材速度(送り速度)を一定とし、かつワーク14を直線的に切削した場合、各切削歯12は一定の間隔毎に該ワーク14を切り込んでいく。すなわち、図6に示すように、歯数Z、回転数Nおよびピッチ角θ(平均ピッチ角360°/Z)の丸鋸10が一定の送り速度Fで水平方向直線的に移動してワーク14を切削するとした場合、任意の切削歯Tnが回転中心Oから水平方向に引いた線(以下、切削ラインLと云う)上にあったときから、該切削歯Tnから反回転方向に隣接する切削歯Tn+1が該切削ラインL上に到達するときまでに、丸鋸10が該ワーク14に送られる量(切削歯Tn+1の切込み量Sn+1)は、何れの切削歯12においても一定となっている。換言すれば、各切削歯12の切削半径は等しいので、前記切込み量は、1歯当たりの丸鋸10が移動する距離(送り量)l0と等しくなっていることから、回転数Nおよび送り速度Fが一定であれば、前記丸鋸10における切削歯12の1歯当たりの切込み量S0は一定となり
[式1]S0=l0=F/(N・Z)
と表される。なお、参考までに、切削歯に超硬合金チップが接合された丸鋸(超硬丸鋸)を用いてワークを切断する場合、一般的に、回転数N=50〜500rpm、送り速度F=300〜1500mm/min、1歯当たりの切込み量S0=0.03〜0.12mmとなっている。また、以下の説明では、この切削歯12を等ピッチ角θで設けた丸鋸10を基準丸鋸と称し、該丸鋸10による前記切込み量S0および送り量l0を、基準切込み量および基準送り量と夫々称することにする。
When cutting using the circular saw 10, as described above, the cutting teeth 12 are arranged at an equal pitch angle θ, so that the relative feed speed (feed) for cutting the work 14 of the circular saw 10 is set. When the speed is constant and the workpiece 14 is cut linearly, each cutting tooth 12 cuts the workpiece 14 at regular intervals. That is, as shown in FIG. 6, the circular saw 10 having the number of teeth Z, the rotational speed N, and the pitch angle θ (average pitch angle 360 ° / Z) moves linearly in the horizontal direction at a constant feed speed F to move the workpiece 14. If the cutting, any cutting teeth T n is a line drawn from the rotational center O in the horizontal direction from the time was over (hereinafter, referred to as the cutting line L), adjacent to the reverse rotation direction from該切Kezuha T n by the time the cutting teeth T n + 1 to reach on the cutting line L, the amount circular saw 10 is sent to the work 14 (the cutting teeth T n + 1 of the depth of cut S n + 1) is either The cutting teeth 12 are also constant. In other words, since the cutting radii of the cutting teeth 12 are equal, the cutting depth is equal to the distance (feed amount) l 0 that the circular saw 10 moves per tooth. If the speed F is constant, the cutting amount S 0 per tooth of the cutting tooth 12 in the circular saw 10 is constant and [Equation 1] S 0 = l 0 = F / (N · Z)
It is expressed. For reference, when cutting a workpiece using a circular saw (carbide circular saw) in which a cemented carbide chip is bonded to the cutting teeth, generally, the rotational speed N = 50 to 500 rpm, and the feed speed F = 300 to 1500 mm / min, cutting amount per tooth S 0 = 0.03 to 0.12 mm. Further, in the following description, the circular saw 10 provided with the cutting teeth 12 at an equal pitch angle θ is referred to as a reference circular saw, and the cutting amount S 0 and the feed amount l 0 by the circular saw 10 are defined as a reference cutting amount and These will be referred to as reference feed amounts.

前述の如く丸鋸10を使用してワーク14を切削すると、該ワーク14を切り込んでゆく間隔が周期的になるのであるが、この周期的な切削のために丸鋸10やワーク14には共振的な振動が発生しやすい。そして、この振動がワーク加工面での加工品質を低下させたり、極端な場合には切削歯12が欠損して丸鋸寿命を低下させる等の原因になっていた。   When the workpiece 14 is cut using the circular saw 10 as described above, the interval at which the workpiece 14 is cut becomes periodic. Due to this periodic cutting, the circular saw 10 and the workpiece 14 resonate. Vibration is likely to occur. Then, this vibration causes a reduction in machining quality on the workpiece machining surface, and in an extreme case, the cutting teeth 12 are lost to reduce the circular saw life.

そこで、このような問題に対処すべく開発されたものとして、特許文献1に示す丸鋸が知られている。この丸鋸16は、図7に示すように、任意の切削歯Tnのピッチ角θnと、切削歯Tn+1のピッチ角θn+1との値を異ならせると共に、全ての切削歯12における切削半径が、前記基準丸鋸10と同様、等しく構成されている。すなわち、任意の切削歯Tnの切込み量Snは、そのピッチ角θnの関数として
[式2]Sn=(F/N)・(θn/360°)
と表され、図8に示すように、前記丸鋸16はワーク14を非周期的に切削することになる。従って、特許文献1の丸鋸16は、従来の丸鋸10で生じていた共振的な振動が抑制され、切削面の向上を図り得るものである。なお、特許文献1の丸鋸16は、各切削歯12の切削半径R0が何れも等しいので、任意の切削歯Tnの送り量lnは、該切削歯Tnの切込み量Snと同じである。また、以下の説明で、この丸鋸16を、不等ピッチ丸鋸と称する。
特公昭60−8163号公報
Therefore, a circular saw shown in Patent Document 1 is known as one developed to deal with such a problem. The circular saw 16, as shown in FIG. 7, the varied values of the pitch angle theta n, the pitch angle theta n + 1 of the cutting teeth T n + 1 of any cutting teeth T n, all cutting The cutting radius of the teeth 12 is the same as that of the reference circular saw 10. That is, the depth of cut S n of any cutting teeth T n, the [Equation 2] as a function of the pitch angle θ n S n = (F / N) · (θ n / 360 °)
As shown in FIG. 8, the circular saw 16 cuts the workpiece 14 aperiodically. Therefore, the circular saw 16 of Patent Document 1 is capable of suppressing the resonance vibration generated in the conventional circular saw 10 and improving the cutting surface. Incidentally, circular saw 16 of the Patent Document 1, since the cutting radius R 0 of each cutting tooth 12 are both equal, feed amount l n of an arbitrary cutting teeth T n is the depth of cut S n of該切Kezuha T n The same. In the following description, the circular saw 16 is referred to as an unequal pitch circular saw.
Japanese Patent Publication No. 60-8163

しかしながら、特許文献1に示す不等ピッチ丸鋸16を用いてワーク14を切削した場合、新たな別の問題が生じている。前述したように、不等ピッチ丸鋸16の各切削歯12における切込み量は異なるので、該切込み量が大きな切削歯12、すなわちピッチ角の大きい切削歯12に加わる切削抵抗は増大することになる。従って、ピッチ角の大きい切削歯12に過度に強い切削抵抗が加わると、該切削歯12の先端がチッピングしたり、折損したりすることがあった。また、各切削歯12としてチップを固着した所謂チップソーでは、該チップが大きな切削抵抗によって脱落してしまう欠点が指摘される。また、切削抵抗の増大によりワーク14の切断箇所のバリが大きくなったり、切断面が粗くなったりして、切断品質が低下する問題も生じてしまう。   However, when the workpiece 14 is cut using the unequal pitch circular saw 16 shown in Patent Document 1, another new problem occurs. As described above, since the cutting amount of each cutting tooth 12 of the unequal pitch circular saw 16 is different, the cutting resistance applied to the cutting tooth 12 having a large cutting amount, that is, the cutting tooth 12 having a large pitch angle, increases. . Therefore, when an excessively strong cutting resistance is applied to the cutting teeth 12 having a large pitch angle, the tip of the cutting teeth 12 may be chipped or broken. In addition, a so-called tip saw in which a tip is fixed as each cutting tooth 12 has a disadvantage that the tip is dropped due to a large cutting resistance. Moreover, the burr | flash of the cutting | disconnection location of the workpiece | work 14 will become large by cutting force increase, or a cut surface will become rough, and the problem that cutting quality will fall also arises.

そこで、前記不等ピッチ丸鋸16の送り速度を小さくすることで、切削歯12に加わる負荷を低減させることも可能であるが、これでは切削効率が低下して、ワーク14の加工コストが嵩んでしまう。   Therefore, it is possible to reduce the load applied to the cutting teeth 12 by reducing the feed speed of the unequal pitch circular saw 16, but this reduces the cutting efficiency and increases the machining cost of the workpiece 14. I'm going to stop.

すなわち本発明は、前述した従来技術に係る回転切削工具が内在している欠点に鑑み開発されたものであって、切削時に共振的な振動の抑制が図られると共に切削歯のチッピングや折損を回避でき、しかも加工効率を低下させることのない回転切削工具を提供することを目的とする。   That is, the present invention was developed in view of the above-mentioned drawbacks inherent in the rotary cutting tool according to the prior art, and suppresses resonance vibration during cutting and avoids chipping and breakage of cutting teeth. An object of the present invention is to provide a rotary cutting tool that can be used and that does not reduce the processing efficiency.

前記課題を克服し、所期の目的を達成するため、本発明に係る回転切削工具は、
円形の本体外周部分に切削歯が放射状に不等ピッチ角で突出し、歯数がZとなる回転切削工具において、
平均ピッチ角360°/Zをθとし、
任意の切削歯を基準切削歯T0とし、
前記基準切削歯T0の切削半径を基準切削半径R0とし、
前記基準切削歯T0から反回転方向へn番目に位置する切削歯をTnとし、
回転中心Oに対して前記基準切削歯T0と切削歯Tnとがなす中心角をΘnとし、
相対角度差αnをαn=Θn−nθと定義した際に、
前記切削歯Tnにおける切削半径Rnを、前記相対角度差αnの値が正であれば前記基準切削半径R0に対して減少させ、相対角度差α の値が負であれば基準切削半径R 0 に対して増大させることで、
一定の送り速度でかつ直線的にワークを切削した際に、全ての切削歯におけるワークに対する切込み量が略等しくなるようにしたことを特徴とする。
In order to overcome the above-mentioned problems and achieve the intended purpose, the rotary cutting tool according to the present invention includes:
In a rotary cutting tool in which cutting teeth protrude radially at an irregular pitch angle on the outer peripheral portion of the circular main body and the number of teeth is Z,
An average pitch angle of 360 ° / Z is θ,
An arbitrary cutting tooth is defined as a reference cutting tooth T 0 ,
The cutting radius of the reference cutting tooth T 0 is a reference cutting radius R 0 ,
The cutting teeth positioned on the n-th counter-rotation direction from the reference cutting teeth T 0 and T n,
The center angle formed by the reference cutting tooth T 0 and the cutting tooth T n with respect to the rotation center O is Θ n ,
When the relative angle difference α n is defined as α n = Θ n −nθ,
The cutting radius R n of the cutting teeth T n, the relative if positive value of the angular difference alpha n decreases with respect to the reference cutting radius R 0, the reference if the value of the relative angular difference alpha n is negative by increasing against the cutting radius R 0,
When the workpiece is cut linearly at a constant feed rate, the cutting amount for the workpiece in all the cutting teeth is made substantially equal.

本発明に係る回転切削工具によれば、各切削歯を不等ピッチ角で設けたことで切削時の共振的な振動が防止されると共に、全ての切削歯における切込み量が略等しくなって、加工効率を低下させることなく、切削歯の先端のチッピング、折損あるいは固着チップの脱落を回避することが可能となる。   According to the rotary cutting tool according to the present invention, by providing each cutting tooth with an unequal pitch angle, resonance vibration during cutting is prevented, and the cutting amount in all cutting teeth is substantially equal, It is possible to avoid chipping, breaking or dropping of the fixed tip of the cutting tooth without lowering the processing efficiency.

次に、本発明に係る回転切削工具につき、好適な実施例を挙げて、添付図面を参照して以下に説明する。なお、実施例では、回転切削工具として丸鋸を使用した場合を示すが、これに限定される訳でなく、種々のフライス等の回転切削工具であってもよい。また、以下の説明において、丸鋸は、送り速度F、回転数Nでワークを直線的に切削するものとする。   Next, a preferred embodiment of the rotary cutting tool according to the present invention will be described below with reference to the accompanying drawings. In addition, although the Example shows the case where a circular saw is used as a rotary cutting tool, it is not necessarily limited to this and rotary cutting tools, such as various milling machines, may be sufficient. In the following description, it is assumed that a circular saw cuts a workpiece linearly at a feed rate F and a rotation speed N.

実施例に係る丸鋸18は、図1に示すように、歯数がZとなる切削歯12が、円形の本体外周部分に不等ピッチ角で放射状に配設されている。また、各切削歯12における先端から回転中心Oまでの離間距離、すなわち、切削半径が、基準切削歯T0の基準切削半径R0を基準に増減させて、夫々が異なるように設定されている。以下において、この切削半径の設定方法について説明する。 In the circular saw 18 according to the embodiment, as shown in FIG. 1, cutting teeth 12 having a number of teeth of Z are radially arranged at unequal pitch angles on a circular outer peripheral portion of the main body. Further, the separation distance from the tip of each cutting tooth 12 to the rotation center O, that is, the cutting radius, is set so as to be different from each other by increasing or decreasing the reference cutting radius R 0 of the reference cutting tooth T 0 as a reference. . Hereinafter, a method for setting the cutting radius will be described.

先ず、図2(a)に示すように、基準切削半径R0、歯数Z(=6)、切削歯T0を基準切削歯とする基準丸鋸10を想定して説明を行なう。前述したように、基準丸鋸10の各切削歯12の切込み量および送り量は一定であって、S0=l0である(式1参照)。 First, as shown in FIG. 2A, description will be made assuming a reference circular saw 10 having a reference cutting radius R 0 , the number of teeth Z (= 6), and a cutting tooth T 0 as a reference cutting tooth. As described above, the cutting amount and the feeding amount of each cutting tooth 12 of the reference circular saw 10 are constant and S 0 = l 0 (see Equation 1).

また、図2(b)に示すように、基準切削半径R0、歯数Z(=6)で、切削歯T0を基準切削歯とする不等ピッチ丸鋸16を想定する。この不等ピッチ丸鋸16は、前述したように、任意の切削歯Tnにおける切込み量Snはその送り量lnに等しく、ピッチ角θnの関数で表される。ここで、Z・θ=360°、S0=F/(N・Z)を式2に代入して、
[式3]Sn=ln=S0・(θn/θ)
となる。ここで、不等ピッチ丸鋸16の各切削歯12の切削半径を変更させて、各切削歯12における切込み量を一定にする(すなわち、各切削歯12における切込み量が前記基準切込み量S0となるよう、各切削歯12の切削半径を基準切削半径R0から増減させる)ことを考える。
Further, as shown in FIG. 2B, an unequal pitch circular saw 16 having a reference cutting radius R 0 and the number of teeth Z (= 6) and a cutting tooth T 0 as a reference cutting tooth is assumed. The unequal pitch circular saw 16, as described above, the depth of cut S n at an arbitrary cutting teeth T n equal to the feed amount l n, is expressed by a function of the pitch angle theta n. Here, Z · θ = 360 °, S 0 = F / (N · Z) is substituted into Equation 2, and
[Formula 3] S n = l n = S 0 · (θ n / θ)
It becomes. Here, the cutting radius of each cutting tooth 12 of the unequal pitch circular saw 16 is changed to make the cutting amount in each cutting tooth 12 constant (that is, the cutting amount in each cutting tooth 12 is the reference cutting amount S 0). It is considered that the cutting radius of each cutting tooth 12 is increased or decreased from the reference cutting radius R 0 ).

前記基準切削歯T0から反回転方向に隣接する切削歯T1の送り量l1は、式3より、
[式4]l1=l0・(θ1/θ)
となる。図2(b)に示すように、不等ピッチ丸鋸16における切削歯T1の送り量l1は、前記基準送り量l0よりl0−l1だけ小さいので、該切削歯T1の切削半径を基準切削半径R0よりl0−l1だけ大きくすることで、切削歯T1の切込み量S1が基準切込み量S0と等しくなる。従って、
[式5]R1=R0+l0−l1=R0+l0・{1−(θ1/θ)}
となる。ここで、基準送り量l0は、前記基準切込み量S0と等しいので、
[式6]R1=R0+S0・{1−(θ1/θ)}
と表される。
The feed amount l 1 of the cutting tooth T 1 adjacent in the counter-rotating direction from the reference cutting tooth T 0 is expressed by the following equation (3):
[Formula 4] l 1 = l 0 · (θ 1 / θ)
It becomes. As shown in FIG. 2 (b), the feed amount l 1 of the cutting tooth T 1 of the unequal pitch circular saw 16, so than the reference feeding amount l 0 l 0 -l 1 only small, of該切Kezuha T 1 By making the cutting radius larger by l 0 −l 1 than the reference cutting radius R 0 , the cutting amount S 1 of the cutting tooth T 1 becomes equal to the reference cutting amount S 0 . Therefore,
[Formula 5] R 1 = R 0 + l 0 −l 1 = R 0 + l 0 · {1− (θ 1 / θ)}
It becomes. Here, since the reference feed amount l 0 is equal to the reference cut amount S 0 ,
[Formula 6] R 1 = R 0 + S 0. {1- (θ 1 / θ)}
It is expressed.

また、前記不等ピッチ丸鋸16における切削歯T2の切込み量S2が前記基準切込み量S0と等しくなるには、前記切削ラインL上において、初期の基準切削歯T0の位置(以下、原点Oとする)から距離2S0だけ離れた位置(すなわち、基準丸鋸10の切削歯T2が切削する位置)を該切削歯T2が切削するよう切削半径R2を増減させればよい。すなわち、前記切削歯T2が切削ラインL上に到達したときに、前記不等ピッチ丸鋸16はl1+l2だけ移動しているので、該切削歯T2の切削半径R2を、基準切削半径R0から2S0−(l1+l2)だけ大きくすれば、該切削歯T2は原点Oから距離2S0の位置を切削することとなる。従って、
[式7]R2=R0+2S0−(l1+l2)=R0+S0・{2−((θ1+θ2)/θ)}
となる。
In order for the cutting depth S 2 of the cutting teeth T 2 in the unequal pitch circular saw 16 to be equal to the reference cutting depth S 0 , the position of the initial reference cutting teeth T 0 on the cutting line L (hereinafter referred to as the origin). O to) from a distance 2S 0 position apart (i.e.,該切Kezuha T 2 cutting teeth T 2 is the position) of cutting of the reference circular saw 10 may be increased or decreased cutting radius R 2 to the cutting. That is, when the cutting teeth T 2 arrives onto the cutting line L, since the irregular pitch circular saw 16 is moved by l 1 + l 2, the cutting radius R 2 of該切Kezuha T 2, reference If the cutting radius R 0 is increased by 2S 0 − (l 1 + l 2 ), the cutting tooth T 2 cuts at a distance 2S 0 from the origin O. Therefore,
[Expression 7] R 2 = R 0 + 2S 0 − (l 1 + l 2 ) = R 0 + S 0. {2-((θ 1 + θ 2 ) / θ)}
It becomes.

以下同様にして、切削半径R3,R4,・・・について求めていくと、不等ピッチ丸鋸16の任意の切削歯Tnにおける切削半径Rnは、
[式8]Rn=R0+S0・{n−((θ1+θ2+・・・+θn)/θ)}
と表される。ここで、図3に示すように、θ1+θ2+・・・+θnは、回転中心Oに対して基準切削歯T0と切削歯Tnとがなす中心角であるから、これをΘnとすると、
[式9]Rn=R0+S0・{n−(Θn/θ)}
と表すことができる。更に、図3に示すように、Θn=nθ+αnなる相対角度差αnを定義し、式9に代入すると、
[式10]Rn=R0+S0・{n−(nθ+αn)/θ}=R0−(S0/θ) αn
と表すことができる。
Similarly, when the cutting radii R 3 , R 4 ,... Are obtained, the cutting radius R n at any cutting tooth T n of the unequal pitch circular saw 16 is
[Equation 8] R n = R 0 + S 0. {N − ((θ 1 + θ 2 +... + Θ n ) / θ)}
It is expressed. Here, as shown in FIG. 3, θ 1 + θ 2 +... + Θ n is a central angle formed by the reference cutting tooth T 0 and the cutting tooth T n with respect to the rotation center O. If n ,
[Formula 9] R n = R 0 + S 0. {N− (Θ n / θ)}
It can be expressed as. Furthermore, as shown in FIG. 3, to define the Θ n = nθ + α n becomes a relative angular difference alpha n, it is substituted into Equation 9,
[Formula 10] R n = R 0 + S 0. {N− (nθ + α n ) / θ} = R 0 − (S 0 / θ) α n
It can be expressed as.

このように、前記不等ピッチ丸鋸16における夫々の切削半径を、基準切削半径R0に対して増減させて決定することで、図4に示すように、各切削歯の送り量は異なるものの、夫々の切込み量を基準切込み量S0と等しくすることができる。言い換えると、実施例に係る丸鋸18は、式10に表されるように、各切削歯12における切削半径が、前記基準切削半径R0を切片とし、−S0/θを傾きとする前記相対角度差αnの一次関数として規定されている。このように切削半径を設定することで、一定の送り速度でかつ直線的にワーク14を切削した場合に、該ワーク14に対する切込み量を何れの切削歯においても一定値とすることができる。すなわち、各切削歯を不等ピッチ角で設けていても、前記各切込み量を基準切込み量S0とすることができる。従って、実施例に係る丸鋸18を用いてワーク14を切削すれば、従来問題となっていた切削時での共振的な振動が抑制されて、切削歯12の先端のチッピング、折損あるいは固着チップの脱落が生じることがない。 Thus, by determining the respective cutting radii in the unequal pitch circular saw 16 by increasing / decreasing with respect to the reference cutting radius R 0 , the feed amount of each cutting tooth is different as shown in FIG. The respective cutting amounts can be made equal to the reference cutting amount S 0 . In other words, in the circular saw 18 according to the embodiment, as expressed in Expression 10, the cutting radius of each cutting tooth 12 has the reference cutting radius R 0 as an intercept and −S 0 / θ as an inclination. It is defined as a linear function of the relative angle difference α n . By setting the cutting radius in this way, when the workpiece 14 is cut linearly at a constant feed rate, the depth of cut with respect to the workpiece 14 can be made constant for any cutting tooth. That is, even if the cutting teeth are provided at unequal pitch angles, the respective cutting amounts can be set as the reference cutting amount S 0 . Therefore, if the work 14 is cut using the circular saw 18 according to the embodiment, the resonance vibration at the time of cutting, which has been a problem in the past, is suppressed, and the tip of the cutting tooth 12 is chipped, broken, or fixed chip. No dropout occurs.

なお、実施例においては、前記丸鋸18の各切削半径を、前記基準切削半径R0を基準に、これを増減させて決定したものであったが、任意の切削歯Tn-1の切削半径Rn-1から、反回転方向に隣接する切削歯Tnの切削半径Rnを決定することも可能である。すなわち、式8より切削歯Tn-1の切削半径Rn-1を求めると、
[式11]Rn-1=R0+S0・{(n−1)−((θ1+θ2+・・・+θn-1)/θ)}
と表される。式8と式10との差をとると、
[式12]Rn−Rn-1=S0・(θ−θn)/θ
となる。従って、任意の切削歯Tnにおける切削半径Rnは、
[式13]Rn=Rn-1+S0・(θ−θn)/θ
と表すことができる。この式13より、前記丸鋸18の各切削歯12における切削半径を、回転方向に隣接する切削歯12の切削半径を基準にして決定することができる。勿論、式13から各切削半径が設定された前記丸鋸18を用いた場合でも、各切削歯におけるワークに対する切込み量は一定(すなわち、基準切込み量S0)となって、上記と同一の効果が得られる。
In the embodiment, each cutting radius of the circular saw 18 is determined by increasing or decreasing the cutting radius with respect to the reference cutting radius R 0 , but the cutting of any cutting tooth T n-1 is performed. It is also possible to determine the cutting radius R n of the cutting teeth T n adjacent in the counter-rotating direction from the radius R n−1 . That is, when the cutting radius R n-1 of the cutting tooth T n-1 is obtained from Equation 8,
[Formula 11] R n-1 = R 0 + S 0. {(N-1)-((θ 1 + θ 2 +... + Θ n-1 ) / θ)}
It is expressed. Taking the difference between Equation 8 and Equation 10,
[Formula 12] R n −R n−1 = S 0 · (θ−θ n ) / θ
It becomes. Thus, the cutting radius R n at an arbitrary cutting teeth T n,
[Formula 13] R n = R n−1 + S 0 · (θ−θ n ) / θ
It can be expressed as. From this equation 13, the cutting radius of each cutting tooth 12 of the circular saw 18 can be determined with reference to the cutting radius of the cutting tooth 12 adjacent in the rotational direction. Of course, even when the circular saw 18 with each cutting radius set according to Equation 13 is used, the cutting amount for the workpiece at each cutting tooth is constant (that is, the reference cutting amount S 0 ), and the same effect as above. Is obtained.

実施例に係る丸鋸の一部拡大図である。It is a partial enlarged view of the circular saw which concerns on an Example. 基準丸鋸および不等ピッチ丸鋸の切削の様子を表す説明図であって、(a)は基準丸鋸を示し、(b)は不等ピッチ丸鋸を示している。It is explanatory drawing showing the mode of cutting of a reference | standard circular saw and an unequal pitch circular saw, (a) shows the reference | standard circular saw and (b) has shown the unequal pitch circular saw. 実施例に係る丸鋸を示す説明図である。It is explanatory drawing which shows the circular saw which concerns on an Example. 実施例に係る丸鋸の切削の様子を示す説明図である。It is explanatory drawing which shows the mode of the cutting of the circular saw which concerns on an Example. 基準丸鋸を示す一部拡大図である。It is a partially enlarged view showing a reference circular saw. 基準丸鋸が切削する様子を示す説明図である。It is explanatory drawing which shows a mode that a reference | standard circular saw cuts. 不等ピッチ丸鋸を示す一部拡大図である。It is a partially expanded view which shows an unequal pitch circular saw. 不等ピッチ丸鋸が切削する様子を示す説明図である。It is explanatory drawing which shows a mode that an unequal pitch circular saw cuts.

符号の説明Explanation of symbols

12 切削歯
14 ワーク
18 丸鋸(回転切削工具)
12 Cutting teeth 14 Workpiece 18 Circular saw (Rotary cutting tool)

Claims (2)

円形の本体外周部分に切削歯(12)が放射状に不等ピッチ角で突出し、歯数がZとなる回転切削工具(18)において、
平均ピッチ角360°/Zをθとし、
任意の切削歯(12)を基準切削歯T0とし、
前記基準切削歯T0の切削半径を基準切削半径R0とし、
前記基準切削歯T0から反回転方向へn番目に位置する切削歯をTnとし、
回転中心Oに対して前記基準切削歯T0と切削歯Tnとがなす中心角をΘnとし、
相対角度差αnをαn=Θn−nθと定義した際に、
前記切削歯Tnにおける切削半径Rnを、前記相対角度差αnの値が正であれば前記基準切削半径R0に対して減少させ、相対角度差α の値が負であれば基準切削半径R 0 に対して増大させることで、
一定の送り速度でかつ直線的にワーク(14)を切削した際に、全ての切削歯(12)におけるワーク(14)に対する切込み量が略等しくなるようにした
ことを特徴とする回転切削工具。
In the rotary cutting tool (18) in which the cutting teeth (12) protrude radially at unequal pitch angles on the outer peripheral part of the circular main body and the number of teeth is Z,
An average pitch angle of 360 ° / Z is θ,
An arbitrary cutting tooth (12) is defined as a reference cutting tooth T 0 ,
The cutting radius of the reference cutting tooth T 0 is a reference cutting radius R 0 ,
The cutting teeth positioned on the n-th counter-rotation direction from the reference cutting teeth T 0 and T n,
The center angle formed by the reference cutting tooth T 0 and the cutting tooth T n with respect to the rotation center O is Θ n ,
When the relative angle difference α n is defined as α n = Θ n −nθ,
The cutting radius R n of the cutting teeth T n, the relative if positive value of the angular difference alpha n decreases with respect to the reference cutting radius R 0, the reference if the value of the relative angular difference alpha n is negative by increasing against the cutting radius R 0,
A rotary cutting tool characterized in that, when a workpiece (14) is cut linearly at a constant feed rate, the cutting depths of all the cutting teeth (12) with respect to the workpiece (14) are substantially equal.
前記回転切削工具(18)における回転数をN、送り速度をFとした場合に、平均的な1歯当たりの切込み量S0はS0=F/(N・Z)と表され、前記任意の切削歯Tnにおける切削半径Rnは、前記基準切削半径R0を切片とし、−S0/θを傾きとする前記相対角度差αnの一次関数Rn=R0−(S0/θ) ・αnとして規定される請求項1記載の回転切削工具。 When the rotational speed of the rotary cutting tool (18) is N and the feed rate is F, the average cutting depth S 0 per tooth is expressed as S 0 = F / (N · Z) cutting radius R n of the cutting teeth T n of the reference cutting a radius R 0 sectioned, a linear function of the relative angular difference alpha n to tilt the -S 0 / θ R n = R 0 - (S 0 / The rotary cutting tool according to claim 1, defined as θ) · α n .
JP2004339536A 2004-11-24 2004-11-24 Rotary cutting tool Expired - Fee Related JP4836161B2 (en)

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JP2011240417A (en) * 2010-05-14 2011-12-01 Kobe Steel Ltd Side cutter
DE102013201291A1 (en) * 2013-01-28 2014-07-31 Albert Knebel Gmbh & Co. Kg Holding Saw blade with integrated chip space
CN112088063B (en) * 2018-08-08 2023-03-28 兼房株式会社 Circular saw
WO2021182213A1 (en) * 2020-03-13 2021-09-16 兼房株式会社 Tip saw and method for manufacturing same

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