The computation of dimension catenary

Dimension catenary -- be assembled in the machine or in process of spare parts treatment, form the dimension group that close by mutual connective dimension, call dimension catenary. 5 dimension join becomes following graph clearance A0 and other close measure series, form dimension chain. 2.

Annulus -- each dimension in including dimension chain calls link. The A0 that as above pursues medium, A1, A2, A3, A4, A5 is annulus. Length annulus uses capitalization inclined system A of the Latin alphabet, b, c... express; Angle annulus uses inclined system of the ordinary form of a Chinese numeral Greek letter α , β express. 3.

Seal closed circuit -- the forms naturally one link after the process is being rigged in dimension catenary or machining a process, call a closed circuit. The A0 in as above graph. Next footmark that seal closed circuit " 0 " express. 4.

Form link -- the influential to sealing closed circuit complete ring in dimension catenary, call compositive link. The A1 in as above graph, A2, A3, A4, A5. Next footmark that form link express with the arabic numerals. 5.

Add annulus -- annulus of some kind of composition in dimension catenary, what form link as a result of this kinds is fluctuant cause a closed circuit to be the same as to fluctuant, this composition annulus is add annulus. The A3 that as above pursues medium. 6.

Decrease annulus -- annulus of some kind of composition in dimension catenary, what form link as a result of this kinds is fluctuant those who cause a closed circuit is retrorse and fluctuant, annulus of this kinds of composition is decrease annulus. The A1 that as above pursues medium, A2, A4, A5. 7.

Compensation annulus -- in dimension catenary beforehand some of make choice of forms link, can adopt a change its size or position, make seal closed circuit to achieve formulary requirement, this composition annulus is compensation annulus. The L2 in pursueing as follows. 2, what the form of dimension catenary becomes analysis and computational dimension chain is convenient, press the geometrical feature of dimension catenary normally, functional requirement, error property reachs the different point of view such as the correlation of annulus and mutual position, try to classify to dimension catenary, reach the different form of dimension catenary. 1.

Length dimension catenary and catenary of dimension of length of ① of angle dimension catenary -- the dimension catenary that complete ring is length dimension, if pursue catenary of dimension of 1 ② angle -- the dimension catenary that complete ring is angle dimension, if pursue 32.

Assemble dimension chain, catenary of spare parts dimension and ① of technology measure catenary assemble dimension chain -- the dimension chain that forms annulus to design dimension place to form for different spare parts entirely, if pursue catenary of dimension of 4 ② spare parts -- the dimension chain that forms annulus to design dimension place to form for same part entirely, if pursue catenary of measure of 5 ③ technology -- the dimension chain that forms annulus to be place of measure of same part technology to form entirely, if pursue 6. Technology measure points to technology measure, fixed position dimension and standard measure. Assemble dimension catenary and be called by a joint name of chain of spare parts dimension to be design dimension catenary. 3.

Catenary of basic measure of basic measure catenary and ① of derive dimension catenary -- the dimension chain that forms annulus to all affect a closed circuit directly entirely, if pursue 7 in dimension catenary β . Catenary of ② derive dimension -- the seals closed circuit to become another dimension catenary to form link dimension catenary of catenary of this one dimension, if pursue 7 in γ . 4.

Linear dimension catenary, catenary of linear dimension of planar dimension catenary and ① of dimensional size catenary -- parallel of all composition annulus shuts the dimension catenary of annulus at sealing, if pursue 1, graph 2, graph 5. Catenary of ② planar dimension -- all composition annulus is located in or inside a few parallel plane, but certain composition annulus is not parallel the dimension catenary at sealing closed circuit, if pursue 8. Catenary of ③ space size -- compositive annulus is located in the dimension catenary inside plane of a few rough travel, if pursue 9. 3, the algorithm of dimension catenary 1.

The analysis adds annulus to reach the ① that decrease annulus to use certainly add annulus and the definition that decrease annulus (those who form some kind of link in annulus is fluctuant cause those who seal closed circuit to be the same as to fluctuant to add annulus, the changes reversely annulus that causes a closed circuit is decrease annulus) affirmatory. If pursue 10 in, a3 is add annulus, a1, A2, A4, A5 is decrease annulus. ② uses " arrowhead law " affirmatory: Draw one-way arrowhead since either annulus first, the picture of the one after another, include to seal closed circuit, until the last form close loop, press the directional judgement of arrowhead next, always with seal closed circuit arrowhead to be the same as to to decrease annulus, retrorse to add annulus. If pursue 10 in A1, A2, A4, A5 and the arrowhead that seal closed circuit are the same as to, because this is to decrease annulus, the arrowhead of A3 and the arrowhead way that seal closed circuit are opposite, it is to add annulus so. 2.

The basic measure = that begs the basic measure that seals closed circuit to seal closed circuit is all add annulus all basic measure the sum is subtractive decreasing annulus is basic dimension the sum. A0=A3-(A1+A2+A4+A5) foregone A3=43, a1=30, a2=5, a4=3, a5=5 reason A0=43-(30+5+3+5)=0 seals the dimension A0=03 of closed circuit namely.

The tolerancepublic errand = that begs the public errand that seals closed circuit to seal closed circuit is all the T0=T1+T2+T3+T4+T5 of tolerancepublic errand the sum that forms link is foregone T1=0.

1, t2=0.

05, t3=0.

1, t4=0.

05, t5=0.

05 reason T0=0.

1+0.

05+0.

1+0.

05+0.

05=0.

35mm4.

The extreme deviation that begs a closed circuit seals = of the deviation on closed circuit all adding all the sum of the deviation on annulus is subtractive decreasing the sum of the deviation below annulus seals = of the deviation below closed circuit all adding all the sum of the deviation below annulus is subtractive decreasing the sum of the deviation on annulus is foregone: Add ESiy of the deviation on annulus to be: + 0.

20; Decrease Eliz of the deviation below annulus to be: - 0.

10, - 0.

05, - 0.

05, 0.

05; Add Eliy of the deviation below annulus to be: + 0.

10; Decrease ESiz of the deviation on annulus to be: 0, 0, 0, 0. Reason: Seal ES0=+0 of the deviation on closed circuit.

20-(-0.

10-0.

05-0.

05-0.

05)=+0.

45mm seals E10=+0 of the deviation below closed circuit.

10-(0+0+0+0)=+0.

10mm namely: Seal ES0=+0 of the deviation on closed circuit.

45mm; Issue deviation E10=+0.

10mm; Seal closed circuit A0=O+0.

45+value=" .

1" HasSpace="False" Negative="False" NumberType="1" TCSC="0" W:sT="on">0.

10mm, meantime unoccupied place size is + 0.

1 ～ 0.

45mm. Exemple 1: If the graph is shown 11 times, there is N of an axial clearance between roller and axis, try beg the biggest with clearance of the least activity. Solution: Add certainly annulus and decrease annulus from the graph 10 arrowhead law judges 30 ± 0.

1 with 30+0.

5+0.

3 to add annulus, 60 ± 0.

1 to decrease annulus, n is a closed circuit. Beg a closed circuit the extreme deviation that basic measure N=30+30-60=0 begs a closed circuit, the basis is formulary: ESo=(+0.

1+0.

5)-(-0.

1)=+0.

7E1o=(-0.

1+0.

3)-(+0.

1)=+0.

1 namely: N=0+0.

7+value=" .

1" HasSpace="False" Negative="False" NumberType="1" TCSC="0" W:sT="on">0.

1mm answers: The biggest gap is 0.

7mm, the least space is 0.

1mm. Exemple 2: If the graph shows a part 12 times, cannot measure foot directly 6 ± 0.

1, change measure dimension X, beg the basic measure of X and extreme deviation. Solution: Close certainly annulus and increasing annulus and the size that reduce annulus to assure finally is 6 ± 0.

1, so 6 ± 0.

1 it is a closed circuit; 100-0.

1 it is to decrease annulus, x is to add annulus. The extreme deviation that begs the basic measure 6=X-10X=16 of X to beg X + 0.

1=ESX- (-0.

Of 1)X go up deviation ESX=0-0.

Next deviation E1X=-0 of 1=E1X-0X.

1X160value=" .

1" HasSpace="False" Negative="True" NumberType="1" TCSC="0" W:sT="on">-0.

1mmvalue=" .

1" HasSpace="False" Negative="True" NumberType="1" TCSC="0" W:sT="on"> exemple 3: If the graph shows a part 13 times, if the coaxial of circle of inside and outside spends tolerancepublic errand,be Φ 0.

5mm, try the basic measure that seeks mural thick N and extreme deviation. Value=" .

1" HasSpace="False" Negative="True" NumberType="1" TCSC="0" W:sT="on">value=" .

1" HasSpace="False" Negative="True" NumberType="1" TCSC="0" W:sT="on"> solution: Turn into the dimension of diametical direction radius direction size, paint dimension catenary picture, if pursue 13 right. Decide N mixes a closed circuit the 350-0 that add annulus.

2 with the 30+0 that decrease annulus.

250. Value=" .

1" HasSpace="False" Negative="True" NumberType="1" TCSC="0" W:sT="on"> begs Value=" of basic measure of mural thick N.

1" HasSpace="False" Negative="True" NumberType="1" TCSC="0" W:sT="on">N=35-(30+0)=5mmvalue=" .

1" HasSpace="False" Negative="True" NumberType="1" TCSC="0" W:sT="on"> begs the extreme deviation Value=" of mural thick N.

1" HasSpace="False" Negative="True" NumberType="1" TCSC="0" W:sT="on">ESo=0-(0+0)=0value=" .

1" HasSpace="False" Negative="True" NumberType="1" TCSC="0" W:sT="on">E1o=-0.

2-(+0.

2+0.

25)=-0.

65value=" .

1" HasSpace="False" Negative="True" NumberType="1" TCSC="0" W:sT="on"> wall thick N=50-0.

65 CNC Milling