What is the computational method of circular arc of numerical control machine tool?

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The part between 2 o'clock calls the random on the circle circular arc Portant; Overflow-wrap: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: The derivation process of the ＝ of computational formula L of 15px;"> arc length: Portant; Overflow-wrap: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: The arc length that 15px;"> is opposite because of the place of horn of the centre of a circle of 360° is 2πR of ＝ of round circumference C (R is round radius) Portant; Overflow-wrap: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: The arc length that so the place of horn of the centre of a circle of 1° is opposite 15px;"> is 2πR/360, namely. Portant; Overflow-wrap: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: The computational formula of the arc length with the right place of horn of the centre of a circle of such 15px;"> N° is L ＝ N*2πR/360portant; Overflow-wrap: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: 15px;"> cites a case: Portant; Overflow-wrap: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: 15px;"> foregone circular arc is linear at 2 o'clock span is 5285MM, round radius R=3359MM, beg arc length? Portant; Overflow-wrap: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: 15px;"> connects a line between 2 o'clock, length 5285, the half is 2642.

5portant; Overflow-wrap: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: 15px;"> takes the midpoint that connect a line, this midpoint, the centre of a circle, form a right-angled triangle with aleatoric end points. Portant; Overflow-wrap: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: 15px;"> the centre of a circle is in horn to be the half of diagonal of circular arc place, portant; Overflow-wrap: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: The Sin value of 15px;"> this horn is 2642.

5/3359=0.

7867portant; Overflow-wrap: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: Degree of 15px;"> this horn is Arcsin0.

7867=51.

88 degrees of Portant; Overflow-wrap: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: So diagonal of circular arc place is 15px;"> 51.

87*2=103.

76 degrees of Portant; Overflow-wrap: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: =2 of 15px;"> arc length sends R×103.

76/360portant; Overflow-wrap: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: 15px;">=2*3.

14*103.

76/360portant; Overflow-wrap: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: 15px;">=6083MMinkMacSystemFont, "Helvetica Neue" , "PingFang SC" , "Hiragino Sans GB" , "Microsoft YaHei UI" , "Microsoft YaHei" , arial, sans-serif; Font-size: 16px; Letter-spacing: 0.

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Circular arc arranges the judgement Portant; Overflow-wrap that go against: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: Interpolation of 15px;"> circular arc dictates cent is G03 of instruction of G02 of instruction of clockwise arc interpolation and interpolation of anticlockwise circular arc. Portant; Overflow-wrap: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: Lathe of 15px;"> numerical control is the machine tool of two coordinate, have X axis and Z axis only, the method that presses right hand formula also adds Y axis will consider. Portant; Word-wrap: Break-word! Important; Font-size: 15px;"> observer lets Y axis to point to oneself (see) along the negative direction of Y axis namely, the station is in such what can judge the circular arc on X-Z plane correctly locally is suitable anticlockwise. Portant; Overflow-wrap: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: 15px;"> circular arc arranges the judgement Portant; Overflow-wrap that go against: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: When 15px;"> ① uses absolute value process designing, coordinate of circular arc terminus is circular arc terminus to tie medium coordinate cost in workpiece coordinate, express with X, Z. Portant; Word-wrap: Break-word! Important; Font-size: When 15px;"> should use increment size process designing; Portant; Word-wrap: Break-word! Important; Font-size: Coordinate of terminus of 15px;"> circular arc is circular arc terminus the increment size of start of arc of opposite Yu Yuan, express with U, W. Portant; Overflow-wrap: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: The cent vector that I of coordinate of 15px;"> ② the centre of a circle, K is circular arc start to make vector part to go up in direction of reference axis of X, Z to institute of circular arc center (vector direction points to) of the centre of a circle. Portant; Word-wrap: Break-word! Important; Font-size: This systematic I, K is 15px;"> increment size, contain “±” number, take “ when the direction of the way that parts vector and reference axis is abhorrent - ” date. Portant; Overflow-wrap: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: When 15px;"> ③ should appoint position of the centre of a circle only with radius, because be in same radius below the circumstance, have the possibility of two circular arc to terminus from the start of circular arc, to distinguish both, when setting ≤180° of horn of the centre of a circle, with “ ＋ R” expresses. Portant; Word-wrap: Break-word! Important; Font-size: 15px;"> is like horn of circular arc the centre of a circle > when 180° , with “ - R” expresses. Portant; Overflow-wrap: Break-word! Important;">portant; Word-wrap: Break-word! Important; Font-size: When 15px;"> ④ appoints position of the centre of a circle only with radius, cannot describe full circle CNC Milling