CN102538631A - Bevel gear tooth thickness measurer - Google Patents

Abstract

The invention provides a bevel gear tooth thickness measurer, which comprises an operation table, a sine gauge, a mandrel, a right-angled curved ruler, a height gauge, a gauge block and a micrometer. The bevel gear tooth thickness measurer is characterized in that the sine gauge and the right-angled curved ruler are mounted at two ends of the operation table respectively, mounting angles of the sine gauge and the right-angled curved ruler are mutually parallel, the height gauge and an adjusting sleeve are arranged on the right-angled curved ruler and movably connected with the operation table, the micrometer with a holder, an anvil and a locking device removed is mounted on the adjusting sleeve, the micrometer is parallel to a basal plane of the operation table, an axillary steel ball is placed in the middle of a tooth space of the bevel gear to be measured and slightly close to a small end, and positioned in the middle of a contact area, and then relevant dimensional data are measured. The tooth thickness of a portion, where the steel is positioned, of the bevel gear is obtained by calculating, and the tooth thickness of a large end of the measured bevel gear is obtained. The bevel gear tooth thickness measurer can be used for measuring the thickness of optional-section teeth, especially in the middle of the contact area, and no back cone needs to be used as a measurement datum.

Description

Bevel gear transverse tooth thickness measuring instrument

Technical field

The invention belongs to mechanical field, relate to the gear measurement technology, particularly relate to a kind of bevel gear transverse tooth thickness measuring instrument.

Background technology

The measurement of bevel gear transverse tooth thickness relies on gear tooth calipers, optics transverse tooth thickness slide calliper rule, tool microscope or ball measuring head to cooperate back cone to make classic methods such as benchmark for a long time, is theoretical external diameter and tip distance but the measurement of bevel gear transverse tooth thickness must rely on measuring basis.Usually use gear tooth calipers to measure the bevel gear transverse tooth thickness in the prior art; Because general conical gear can not obtain after processing and theoretical external diameter, theoretical tip distance data agonic actual outside diameter in full accord, actual tip distance; And conical gear exactly with the cusp of theoretical external diameter as the benchmark of measuring; For being measured, transverse tooth thickness can obtain accurate data, and just must be with the theoretical external diameter actual deviation of the above-mentioned tooth base of analyzing Δ γ _αAnd the actual deviation Δ δ v of the actual deviation Δ H of tip distance and back cone angle gives corrected Calculation through certain geometric relationship.This makes measuring process very loaded down with trivial details, and impracticable.Because drawing given transverse tooth thickness be the transverse tooth thickness of back cone when being in theoretical position, if the existing chamfering of theoretical external diameter, this does not have benchmark in the time of will making measuring tooth thickness, difficulty and influence measuring accuracy very during measurement.

In addition, in bevel gear drive, overlap if will guarantee the vertex of a cone, then the engagement contact region of bevel gear should be positioned at tooth long tooth depth middle part end slightly less than normal, have in addition on drawing, promptly require barreled tooth flank.Therefore; Should the measuring position be selected in the engagement contact region for the measurement of bevel gear transverse tooth thickness and just be of practical significance; And because the limitation of measuring technique, often our the transverse tooth thickness value measured all is positioned at the big end of bevel gear, and such transverse tooth thickness value can not reflect the actual sideshake when gear pair meshes.

Summary of the invention

To the deficiency of prior art, the present invention provides a kind of novel bevel gear transverse tooth thickness measuring instrument, can measure the transverse tooth thickness value of arbitrary section, especially can be in the contact region center position measurement transverse tooth thickness value, and no longer rely on back cone to make to measure basal plane.

For solving the problems of the technologies described above; The technical scheme that the present invention adopts is: bevel gear transverse tooth thickness measuring instrument; Comprise worktable 11, sine gauge 1, mandrel 2, quarter bend chi, height gage 6, gauge block 10, milscale 5, it is characterized in that: said worktable 11 roughly is rectangle; Said sine gauge 1 and quarter bend chi are installed in the two ends of worktable 11 respectively, and guarantee that the setting angle of sine gauge 1 and quarter bend chi is parallel to each other; Move between said quarter bend chi and the worktable 11 and be connected; Said quarter bend chi upstanding portion is a height gage 6, and adjustment sleeve 7 is installed on the said height gage 6; After said milscale 5 sheds chi frame, gage button, locking device, be installed on the adjustment sleeve 7, and guarantee that milscale 5 is parallel with worktable 11 basal planes; Said sine gauge 1 is equipped with mandrel 2, support set 12 with the approaching end of quarter bend chi, and the other end is fixed on the worktable 11; Said mandrel 2 tops are shaped on standard ball, and mandrel 2 is installed in sine gauge 1 end, and support set 12 is sleeved on the mandrel 2, are installed in tested gear below, the height L of support set 12 and the locating distance K of tested gear ₁Sum equals sine gauge mounting plane height K; Said milscale 5 screw rod center lines pass through the mandrel 2 top centre ofs sphere, and drop on the central cross-section of mandrel 2, and said central cross-section is perpendicular to worktable 11 basal planes;

Also comprise steel ball 4, when measuring, the position of slightly being partial to small end in the middle of steel ball 4 places in the tested bevel gear teeth groove as aid falls within the middle of the contact region;

Also comprise gauge block 10, when measuring, gauge block 10 is arranged on the sine gauge below, makes the calibration element of cone of tested gear be horizontal;

Further, said milscale 5 links to each other with the quarter bend chi through web joint 13.

Further, move with the feather key clearance fit through gathering sill between said quarter bend chi and the worktable and be connected, and through knurled nut 8 and T type nut 9 location.

A kind of method of measuring the bevel gear transverse tooth thickness may further comprise the steps:

1. the calibration element of cone of tested bevel gear is adjusted to horizontal level; Between the vertex of a cone and measurement basal plane, set the subsidiary face, said subsidiary face and horizontal plane angle are the reference cone angle of tested bevel gear for δ; Set subsidiary point Q, said Q is the intersection point of the vertex of a cone at the subsidiary face; Measure Q to the distance h of measuring basal plane, measure Q to the vertex of a cone apart from K;

2. according to pitch cone bus length of tested bevel gear and the long R of pitch cone bus of tested bevel gear transverse tooth thickness to be measured position p _P1, set auxiliary steel ball radius

Wherein: R _P1For the pitch cone bus of transverse tooth thickness to be measured position p long; R is that the calibration element of cone of tested bevel gear is long; M is the tested bevel gear big end modulus corresponding with R;

3. will assist steel ball to place the position p in the tested bevel gear teeth groove, fall within the middle of the contact region; Steel ball must be tangent with flank profil, and the peak of steel ball must be higher than face cone; As measuring basal plane, use survey instrument to measure the long R of pitch cone bus of steel ball central cross-section with the worktable basal plane _p, measure steel ball peak A apart from measuring basal plane height M ';

4. calculate principle according to the bevel gear transverse tooth thickness, calculate the transverse tooth thickness S at p place, bevel gear position _p,

$S_p=2r_{\mathrm{Vp}}({\mathrm{Inv\α}}_p-\mathrm{Inv\α}-\frac{2r_p}{m_p{z}_v\mathrm{Cos}\mathrm{\α}}+\frac{\mathrm{\π}}{z_v}),$ Wherein: ${\mathrm{\α}}_p=\mathrm{Arccos}\left(\frac{m_p{z}_p\mathrm{Cos}\mathrm{\α}}{2({\mathrm{AO}}_v-r_p)}\right),$ ${\mathrm{AO}}_{\mathrm{\υ}}=M^{\′}-(R-R_p)\mathrm{Tan}\mathrm{\δ}-[h-(\frac{R}{\mathrm{Cos}\mathrm{\δ}}-K)\mathrm{Sin}\mathrm{\δ}];$ In the formula:

m _p---steel ball central cross-section bevel gear modulus;

α _p---the steel ball center O _pThe pressure angle of position involute urve;

Z _p---the steel ball central cross-section bevel gear back cone virtual gear number of teeth

Z _v---the tested bevel gear back cone virtual gear number of teeth;

α---tested bevel gear pressure angle of graduated circle;

AO _υ---steel ball central cross-section bevel gear back cone vertex of a cone O _υAnd the distance between the steel ball peak A;

r _Vp---the steel ball center O _pCross section back cone virtual gear reference radius.

Further, also comprise step 5, according to S _pObtain the thick S of the big end tooth of tested bevel gear, wherein

Further, use sine gauge 1, mandrel 2, height gage 6, gauge block 10, milscale 5 as survey instrument, said sine gauge 1 one ends are fixed, and the other end is equipped with mandrel 2 as the mobile terminal, and mandrel 2 tops are shaped on standard ball; Said height gage 6 is provided with adjustment sleeve 7, and said milscale 5 is installed on the adjustment sleeve after shedding chi frame, gage button, locking device.

Further, step 1 realizes through following steps:

1. mandrel 2 is installed in sine gauge 1 mobile terminal, and the mandrel top is shaped on standard ball;

2. tested bevel gear is loaded on the mandrel 2 of sine gauge 1, calculates the height H that should fill up gauge block 10 according to the reference cone angle δ of tested bevel gear, pad is established gauge block 10 below sine gauge, makes the calibration element of cone be horizontal;

3. support set 12 is installed on mandrel, and the height L of support set 12 equals the tested bevel gear vertex of a cone deducts tested bevel gear to sine gauge level K locating distance K ₁, guarantee that the tested bevel gear vertex of a cone overlaps with the mandrel 12 top centre ofs sphere;

4. measure on the sine gauge mandrel center Q point and confirm that through h the vertex of a cone is to basal plane height h to the distance h of basal plane ₁

Further, step 3 realizes through following steps:

1. measure the vertex of a cone to measuring basal plane height h ₁

2. adjust the milscale 5 micrometric screw center line height and the vertex of a cone apart from basal plane height h ₁Consistent; Milscale 5 micrometric screw center lines are aimed at the mandrel 2 top centre ofs sphere;

3. take out tested bevel gear, be moved to the left milscale 5 convergence mandrels 2 top spheres along milscale 5 micrometric screw center lines, rotation micrometric screw sleeve contacts up to micrometric screw, takes reading, and deducts the mandrel nose-circle radius of a ball again, is vertex of a cone directions X coordinate X ₁, vertex of a cone position just;

4. along the milscale 5 micrometric screw center lines milscale 5 that moves right, on mandrel, put into tested bevel gear, place steel ball in the tested bevel gear teeth groove in the middle of the position of small end slightly relatively; Fall within the middle of the contact region; Be moved to the left milscale 5 along milscale 5 micrometric screw center lines, rotation micrometric screw sleeve is lived steel ball 4 up to micrometric screw end face location, at this moment; Read the reading of milscale 5, deduct the steel ball radius r _p, obtain steel ball center directions X coordinate figure X ₂The pitch cone bus that calculates the steel ball central cross-section at last is long: R _p=X ₂-X ₁

5. measure steel ball peak A to the height M ' that measures basal plane.

Further, step 4 is calculated through following method:

1. obtain the distance A O between the steel ball peak and the big end back cone of tested gear summit in the actual measurement _υ, ${\mathrm{AO}}_{\mathrm{\υ}}=M^{\′}-(R-R_p)\mathrm{Tan}\mathrm{\δ}-[h-(\frac{R}{\mathrm{Cos}\mathrm{\δ}}-K)\mathrm{Sin}\mathrm{\δ}];$

2. obtain the steel ball center O _pThe pressure angle α of position involute urve _p,

3. obtain the transverse tooth thickness S of steel ball central cross-section position _p,

$S_p=2r_{\mathrm{vp}}({\mathrm{inv\α}}_p-\mathrm{inv\α}-\frac{2r_p}{m_p{z}_v\cos \mathrm{\α}}+\frac{\mathrm{\π}}{z_v});$

The invention has the beneficial effects as follows:

1, can measure the transverse tooth thickness value of arbitrary section, especially can be in the contact region center position measurement transverse tooth thickness value, and no longer rely on back cone to make to measure basal plane.

2, behind the auxiliary steel ball of use, utilize instruments such as existing instrument such as sine gauge, height gage, milscale to measure.

Description of drawings

Fig. 1 is a structural representation of the present invention

Fig. 2 is the vertical view of Fig. 1

Fig. 3 is the relevant size marking synoptic diagram of the present invention

Fig. 4 is steel ball central cross-section back cone virtual gear and each relative dimensions synoptic diagram

Among the figure:

1. sine gauge 2. mandrels 3. tested gears

4. steel ball 5. milscales 6. height gages

7. adjust sleeve 8. knurled nut 9.T type nuts

10. gauge block 11. worktable 12. support sets

13. web joint

Embodiment

Like Fig. 1,2, shown in 3, this bevel gear transverse tooth thickness measuring instrument mainly is made up of sine gauge 1 (belt carcass axle 2), the quarter bend chi of being with milscale sleeve and reading device 5, height gage 6, gauge block 10, steel ball 4, milscale 5 (having shed chi frame, gage button, locking device) etc.

The worktable of this bevel gear transverse tooth thickness measuring instrument roughly is rectangle, and said sine gauge 1 and quarter bend chi are installed in the two ends of worktable respectively, and guarantees that the setting angle of sine gauge 1 and quarter bend chi is parallel to each other; Move through gathering sill and feather key clearance fit between said quarter bend chi and the worktable, and by knurled nut 8 and T type nut 9 location; Said quarter bend chi upstanding portion is a height gage 6, and adjustment sleeve 7 is installed on the said height gage 6; After said milscale 5 sheds chi frame, gage button, locking device, link to each other with the quarter bend chi through web joint 13.

Said sine gauge 1 one ends are fixed on the worktable, and the other end is equipped with mandrel 2, support set 12, and said mandrel 2 tops are shaped on standard ball; Mandrel 2 is installed in the sine gauge end; Support set 12 is sleeved on the mandrel, is installed in tested gear below, the height L of support set 12 and the locating distance K of tested gear ₁Sum equals the height K of tested cone of gears apex distance from the sine gauge plane.Said milscale 5 screw rod center lines are approximate through the mandrel 2 top centre ofs sphere.

The end below that said sine gauge is installed mandrel is provided with gauge block, and said gauge block makes the calibration element of cone of tested gear be horizontal.

Should carry out following adjustment work before measuring.

1. tested bevel gear is loaded on the mandrel 2 of sine gauge, calculates the height H that to fill up gauge block 10, make the calibration element of cone be horizontal according to the reference cone angle δ of gear.

2. according to the locating distance K of tested gear ₁And the vertex of a cone guarantees that to the height L that sine gauge mounting plane height K confirms support set 12 the measured workpiece vertex of a cone overlaps with the mandrel centre of sphere.

3. Q point in mandrel center confirms that to the distance h of basal plane the vertex of a cone is apart from basal plane height h1 on the sine gauge.

4. putting into measured workpiece, is r with radius _pSteel ball place in the tested gear tooth slot in the middle of the position of small end slightly relatively, locate with the micrometric screw small end face and the steel ball of milscale, determine the long R of steel ball center pitch cone bus _PConcrete grammar: the micrometric screw centre-height h of milscale on the adjustment quarter bend chi ₁Consistent as far as possible with the vertex of a cone, be moved to the left quarter bend chi convergence mandrel top sphere, turnbarrel contacts up to micrometric screw, takes reading, and deducts the mandrel end standard radius of a ball again, is vertex of a cone directions X coordinate X ₁, vertex of a cone position just.Move right milscale after guarantee that workpiece can be put into the position of sleeve, workpiece is put into sleeve, in the workpiece teeth groove, put into steel ball and fall within the middle of the contact region, (selection of steel ball size is by following three conditional decisions:

The pitch cone radius R at centre of sphere place _P1,

Steel ball must be tangent with flank profil, The peak of steel ball must be higher than face cone) milscale micrometric screw end face location lives steel ball.At this moment, read the reading of milscale, deduct the steel ball radius r _p, obtain steel ball center directions X coordinate figure X ₂It is long to calculate the pitch cone bus of measuring cross section (being the steel ball central cross-section) at last: R _p=X ₂-X ₁

The steel ball radius r _pBe chosen on the Theoretical Calculation can be with reference to following formula:

$r_p=\frac{{1.68m}_p}{2}---\left(1\right)$

Can be according to the pitch cone radius R at steel ball centre of sphere place _P1Modulus m _pSelect,

$m_p=\frac{R_{p1}m}{R}---\left(2\right)$

So $r_p=\frac{{1.68R}_{p1}m}{2R}---\left(3\right)$

In the formula (3): R _P1For long according to the pitch cone bus of the long R of pitch cone bus of tested bevel gear, choose reasonable transverse tooth thickness to be measured position p, R _P1Being calculated value, is not the R that actual measurement obtains _p=X ₂-X ₁M is the tested bevel gear big end modulus corresponding with R.Aforesaid choose reasonable should meet the following conditions: slightly be partial to the position of small end in the middle of 1, steel ball places in the tested gear tooth slot, and drop in the middle of the contact region; 2, steel ball must be tangent with flank profil, and 3, the peak of steel ball must be higher than face cone.

Visible by Fig. 1, the steel ball peak is apart from measuring the basal plane height

M′＝AO _υ+O _υB (4)

Be AO _υ=M '-O _υB (5)

Can obtain by Fig. 1 $O_{\mathrm{\υ}}B=(R-R_p)\mathrm{Tan}\mathrm{\δ}+[h-(\frac{R}{\mathrm{Cos}\mathrm{\δ}}-K)\mathrm{Sin}\mathrm{\δ}]---\left(6\right)$

Like Fig. 1, shown in 4, O among Fig. 1 _υBe the center O of back cone virtual gear among Fig. 4 _υ, therefore:

As shown in Figure 4, AO _υ=r _p+ O _υO _p(7)

$O_{\mathrm{\&upsi;}}{O}_p=\frac{r_{\mathrm{vbp}}}{\cos {\mathrm{\&alpha;}}_p}=\frac{m_p{\mathrm{<figure-callout\; id="2"\; label="z\; v\; cos"\; filenames="HDA0000124940540000011.png"\; state="\{\{state\}\}">z</figure-callout>}}_v\cos }{2\cos {\mathrm{\&alpha;}}_p}---\left(8\right)$

R in the formula _Vbp---the steel ball center O _pCross section back cone virtual gear base radius;

m _p---steel ball central cross-section conical gear modulus;

α _p---the steel ball center O _pThe pressure angle of position involute urve;

Z _v---the conical gear back cone virtual gear number of teeth;

α---pressure angle of graduated circle

The O that will calculate according to formula (6) _υThe value substitution formula (5) of B and the actual M ' that records can be tried to achieve AO _υ, substitution formula again (7) is obtained O _υO _ρ, and then try to achieve α by formula (8) _p

Can find out by Fig. 3,

invα _p＝invα+v-η(9)

According to principle of forming involute:

So $v=\frac{d_p}{m_p{z}_v\mathrm{Cos}\mathrm{\&alpha;}}---\left(11\right)$

$\mathrm{\&eta;}=\frac{\mathrm{\&pi;}}{2z_v}---\left(12\right)$

With formula (9), (10) substitution (7);

$\mathrm{inv}{\mathrm{\&alpha;}}_p=\mathrm{inv\&alpha;}+\frac{d_p}{m_p{z}_v\cos \mathrm{\&alpha;}}-\frac{\mathrm{\&pi;}}{2z_v}---\left(13\right)$

When not waiting for our measured displacement conical gear transverse tooth thickness and between cog, formula (12) should be:

$\mathrm{\&eta;}=\frac{\mathrm{\&pi;}}{2z_v}=\frac{S_p}{2r_{\mathrm{vp}}}---\left(14\right)$

R in the formula _Vp---the steel ball center O _pCross section back cone virtual gear reference radius;

S _p---the theoretical circular tooth thickness of steel ball central cross-section position, it and the given theoretical circular tooth thickness relation of big end of drawing are: $S_p=\frac{{\mathrm{SR}}_p}{R}---\left(15\right)$

Thus, formula (9) can be changed into:

$\mathrm{inv}{\mathrm{\&alpha;}}_p=\mathrm{inv\&alpha;}+\frac{d_p}{m_p{z}_v\cos \mathrm{\&alpha;}}-\frac{\mathrm{\&pi;}}{z_v}+\frac{S_p}{2r_{\mathrm{vp}}}---\left(16\right)$

So far, we have obtained transverse tooth thickness S _pSize, and can calculate the thick S of big end tooth according to formula (15), the S given with drawing compares, and judges whether the transverse tooth thickness of tested gear qualified.

Claims (10)

1. bevel gear transverse tooth thickness measuring instrument comprises worktable (11), sine gauge (1), mandrel (2), quarter bend chi, height gage (6), gauge block (10), milscale (5), and it is characterized in that: said worktable (11) roughly is rectangle; Said sine gauge (1) and quarter bend chi are installed in the two ends of worktable (11) respectively, and guarantee that the setting angle of sine gauge (1) and quarter bend chi is parallel to each other; Move between said quarter bend chi and the worktable (11) and be connected; Said quarter bend chi upstanding portion is height gage (6), and adjustment sleeve (7) is installed on the said height gage (6); After said milscale (5) sheds chi frame, gage button, locking device, be installed on the adjustment sleeve (7), and guarantee that milscale (5) is parallel with worktable (11) basal plane; Said sine gauge (1) is equipped with mandrel (2), support set (12) with the approaching end of quarter bend chi, and the other end is fixed on the worktable (11); Said mandrel (2) top is shaped on standard ball, and mandrel (2) is installed in sine gauge (1) end, and support set (12) is sleeved on the mandrel (2), is installed in tested gear below, the height L of support set (12) and the locating distance K of tested gear ₍₁₎Sum equals sine gauge mounting plane height K; Said milscale (5) screw rod center line passes through mandrel (2) the top centre of sphere, and drops on the central cross-section of mandrel (2), and said central cross-section is perpendicular to worktable (11) basal plane;

Also comprise steel ball (4), when measuring, the position of slightly being partial to small end in the middle of steel ball (4) places in the tested bevel gear teeth groove as aid falls within the middle of the contact region;

Also comprise gauge block (10), when measuring, gauge block (10) is arranged on the sine gauge below, makes the calibration element of cone of tested gear be horizontal.

2. bevel gear transverse tooth thickness measuring instrument according to claim 1 is characterized in that: said milscale (5) links to each other with the quarter bend chi through web joint (13).

3. bevel gear transverse tooth thickness measuring instrument according to claim 1 is characterized in that: move with the feather key clearance fit through gathering sill between said quarter bend chi and the worktable and be connected, and locate through knurled nut (8) and T type nut (9).

4. method of measuring the bevel gear transverse tooth thickness may further comprise the steps:

1. the calibration element of cone of tested bevel gear is adjusted to horizontal level; Between the vertex of a cone and measurement basal plane, set the subsidiary face, said subsidiary face and horizontal plane angle are the reference cone angle of tested bevel gear for

δ; Set subsidiary point Q, said Q is the intersection point of the vertex of a cone at the subsidiary face; Measure Q to the distance h of measuring basal plane, measure Q to the vertex of a cone apart from K;

2. according to pitch cone bus length of tested bevel gear and the long R of pitch cone bus of tested bevel gear transverse tooth thickness to be measured position p _P1, set auxiliary steel ball radius Wherein: R _P1For the pitch cone bus of transverse tooth thickness to be measured position p long; R is that the calibration element of cone of tested bevel gear is long; M is the tested bevel gear big end modulus corresponding with R;

3. will assist steel ball to place the position p in the tested bevel gear teeth groove, fall within the middle of the contact region; Steel ball must be tangent with flank profil, and the peak of steel ball must be higher than face cone; As measuring basal plane, use survey instrument to measure the long R of pitch cone bus of steel ball central cross-section with the worktable basal plane _p, measure steel ball peak A apart from measuring basal plane height M ';

4. calculate principle according to the bevel gear transverse tooth thickness, calculate the transverse tooth thickness S at p place, bevel gear position _p,

$S_p=2r_{\mathrm{Vp}}({\mathrm{Inv\&alpha;}}_p-\mathrm{Inv\&alpha;}-\frac{2r_p}{m_p{z}_v\mathrm{Cos}\mathrm{\&alpha;}}+\frac{\mathrm{\&pi;}}{z_v}),$ Wherein: ${\mathrm{\&alpha;}}_p=\mathrm{Arccos}\left(\frac{m_p{z}_p\mathrm{Cos}\mathrm{\&alpha;}}{2({\mathrm{AO}}_v-r_p)}\right),$ ${\mathrm{AO}}_{\mathrm{\&upsi;}}=M^{\&prime;}-(R-R_p)\mathrm{Tan}\mathrm{\&delta;}-[h-(\frac{R}{\mathrm{Cos}\mathrm{\&delta;}}-K)\mathrm{Sin}\mathrm{\&delta;}];$ In the formula:

m _p---steel ball central cross-section bevel gear modulus;

α _p---the steel ball center O _pThe pressure angle of position involute urve;

Z _p---the steel ball central cross-section bevel gear back cone virtual gear number of teeth

Z _v---the tested bevel gear back cone virtual gear number of teeth;

α---tested bevel gear pressure angle of graduated circle;

AO _υ---steel ball central cross-section bevel gear back cone vertex of a cone O _υAnd the distance between the steel ball peak A;

r _Vp---the steel ball center O _pCross section back cone virtual gear reference radius.

5. the method for measurement bevel gear transverse tooth thickness according to claim 4 is characterized in that: also comprise step 5., according to S _pObtain the thick S of the big end tooth of tested bevel gear, wherein

6. according to the method for claim 4 or 5 any described measurement bevel gear transverse tooth thickness, it is characterized in that: use sine gauge (1), mandrel (2), height gage (6), gauge block (10), milscale (5) as survey instrument; Said sine gauge (1) one end is fixed, and the other end is equipped with mandrel (2) as the mobile terminal, and mandrel (2) top is shaped on standard ball; Said height gage (6) is provided with adjustment sleeve (7), and said milscale (5) is installed on the adjustment sleeve after shedding chi frame, gage button, locking device.

7. the method for measurement bevel gear transverse tooth thickness according to claim 6, it is characterized in that: 1. step realizes through following steps:

1.1) in sine gauge (1) mobile terminal mandrel (2) is installed, the mandrel top is shaped on standard ball;

1.2) tested bevel gear is loaded on the mandrel (2) of sine gauge (1), calculating the height H that should fill up gauge block (10) according to the reference cone angle δ of tested bevel gear, pad is established gauge block (10) below sine gauge, makes the calibration element of cone be horizontal;

1.3) support set (12) is installed on mandrel, the height L of support set (12) equals the tested bevel gear vertex of a cone deducts tested bevel gear to sine gauge level K locating distance K ₁, guarantee that the tested bevel gear vertex of a cone overlaps with mandrel (12) the top centre of sphere;

1.4) measure on the sine gauge mandrel center Q point and confirm that through h the vertex of a cone is to basal plane height h to the distance h of basal plane ₁

8. the method for measurement bevel gear transverse tooth thickness according to claim 7, it is characterized in that: 3. step realizes through following steps:

3.1) measure the vertex of a cone to measuring basal plane height h ₁

3.2) adjustment milscale (5) micrometric screw center line height and the vertex of a cone be apart from basal plane height h ₁Consistent; Milscale (5) micrometric screw center line is aimed at mandrel (2) the top centre of sphere;

3.3) take out tested bevel gear; Be moved to the left milscale (5) convergence mandrel (2) top sphere along milscale (5) micrometric screw center line, rotation micrometric screw sleeve contacts up to micrometric screw, takes reading; Deduct the mandrel nose-circle radius of a ball again, be vertex of a cone directions X coordinate X ₁, vertex of a cone position just;

3.4) along milscale (5) the micrometric screw center line milscale (5) that moves right, on mandrel (2), put into tested bevel gear, place steel ball (4) in the tested bevel gear teeth groove in the middle of the position of small end slightly relatively; Fall within the middle of the contact region; Be moved to the left milscale (5) along milscale (5) micrometric screw center line, rotation micrometric screw sleeve is lived steel ball (4) up to micrometric screw end face location, at this moment; Read the reading of milscale (5), deduct the steel ball radius r _p, obtain steel ball center directions X coordinate figure X ₂The pitch cone bus that calculates the steel ball central cross-section at last is long: R _p=X ₂-X ₁

3.5) measure steel ball peak A to the height M ' that measures basal plane.

9. the method for measurement bevel gear transverse tooth thickness according to claim 8, it is characterized in that: 4. step realizes through following steps:

4.1) obtain the distance A O between the steel ball peak and the big end back cone of tested gear summit in the actual measurement _υ, ${\mathrm{AO}}_{\mathrm{\&upsi;}}=M^{\&prime;}-(R-R_p)\mathrm{Tan}\mathrm{\&delta;}-[h-(\frac{R}{\mathrm{Cos}\mathrm{\&delta;}}-K)\mathrm{Sin}\mathrm{\&delta;}];$

4.2) obtain the steel ball center O _pThe pressure angle α of position involute urve _p,

4.3) obtain the transverse tooth thickness S of steel ball central cross-section position _p,

$S_p=2r_{\mathrm{vp}}({\mathrm{inv\&alpha;}}_p-\mathrm{inv\&alpha;}-\frac{2r_p}{m_p{z}_v\cos \mathrm{\&alpha;}}+\frac{\mathrm{\&pi;}}{z_v}).$

10. auxiliary steel ball that is used to measure the bevel gear transverse tooth thickness, it is characterized in that: said steel ball radius does

R _P1For the pitch cone bus of transverse tooth thickness to be measured position p long; R is that the calibration element of cone of tested bevel gear is long; M is the tested bevel gear big end modulus corresponding with R.

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