CN102927887B - Pitch variation measuring device for large-size straight toothed spur gear - Google Patents

Pitch variation measuring device for large-size straight toothed spur gear Download PDF

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Publication number
CN102927887B
CN102927887B CN201210421101.7A CN201210421101A CN102927887B CN 102927887 B CN102927887 B CN 102927887B CN 201210421101 A CN201210421101 A CN 201210421101A CN 102927887 B CN102927887 B CN 102927887B
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China
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setting element
prelocalization
gauge outfit
rear setting
axis
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CN201210421101.7A
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CN102927887A (en
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李彬
徐白羽
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Southeast University
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Southeast University
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Abstract

The invention relates to a pitch variation measuring device for a large-size straight toothed spur gear, which comprises a front positioning element 11, a rear positioning element 12, a center distance measuring gauge outfit 13, a radial measuring gauge outfit 14, a lever mechanism 16 and a body 15, wherein the center distance between the front positioning element 11 and the rear positioning element 12 can be changed and measured by the center distance measuring gauge outfit 13. When measurement is carried out, the front positioning element 11 and the rear positioning element 12 are respectively clamped between two teeth of a measured gear, and the radial measuring gauge outfit 14 contacts with the addendum circle or dedendum circle of the measured gear, so that the readings of the center distance measuring gauge outfit 13 and the radial measuring gauge outfit 14 at the time can be read. In such a way, the pitch variation of the measured gear can be calculated according to the obtained readings around a circle of the measured gear. Compared with the traditional pitch measuring instrument based on different principles, the pitch variation measuring device disclosed by the invention has the characteristics of easiness for operation, stable contact, good repeatability, and the like, ensures the measurement accuracy and can be used for measuring the pitch variation of two side tooth surfaces simultaneously obtained once.

Description

A kind of large-scale straight spur gear circular pitch deviation measurement mechanism
Technical field
The present invention relates to the measuring appliance of large-scale straight spur gear circular pitch deviation, belong to length metering field.
Background technology
Circular pitch deviation is related to transmission accuracy and the stationarity of working gear, is important accuracy of gear parameter.Circular pitch deviation adopts a kind of tooth pitch instrument (circumferential pitch tester) to measure usually, while the point circle that this instrument is positioned tested gear at employing two legs or dedendum circle, make a face of a fixing measuring jaw and tested gear, another movable measuring jaw contacts with adjacent teeth corresponding flanks, a scale indicates the variation of movable measuring jaw position, can obtain circular pitch deviation by certain data processing.Because with tested Gear Contact while of needing two legs and a fixing measuring jaw, contact condition is unstable again, so action need is very careful, and the usual number of teeth of large gear is many, modulus is large, instrument weight, thus the repeatability of measurement result is often very poor, and measuring accuracy can not be guaranteed.
Summary of the invention
Technical matters: for solving the problem, the invention discloses a kind of large-scale straight spur gear circular pitch deviation measurement mechanism, circular pitch deviation for large-scale straight spur gear is measured, and its technical scheme is based on identical ultimate principle, but measuring method is slightly different and be divided into two schemes:
Technical scheme: one of the present invention large-scale straight spur gear circular pitch deviation measurement mechanism, in the first scheme, when measuring for odd number gear gears tooth pitch deviation, described device comprises a prelocalization element, setting element, a center distance measurement gauge outfit, radial measurement gauge outfit, a leverage and the body as reference for assembling after one, when measuring for even number gear circular pitch deviation, described device also comprises an independently between cog measurement annex, wherein, described prelocalization element is a right cylinder or a spheroid, described rear setting element is also a right cylinder or a spheroid, their diameter is identical, but is a spheroid when prelocalization element is different with rear setting element, described center distance measurement gauge outfit and radial measurement gauge outfit are all a linear displacement measurement device, described prelocalization element and rear setting element are positioned at body homonymy, and, when current setting element and rear setting element are all a right cylinder, their axis being parallel, described rear setting element is directly or indirectly fixedly connected on body, described leverage comprises a lever, lever one end of lever is fixedly connected with prelocalization element, by a revolute pair, lever and body are linked together, wherein, be cylindrical prelocalization element or rear setting element axis being parallel in revolute pair axis and prelocalization element and rear setting element, and, current setting element along with lever rotate around revolute pair axis thus change the centre distance of prelocalization element and rear setting element time, there is such position, the transient motion direction of prelocalization element axis or the centre of sphere is with now prelocalization element is identical with rear setting element centerline direction, the centre distance defining now prelocalization element and rear setting element is its zero-bit centre distance, described center distance measurement gauge outfit is fixedly connected on body, it is crossing with the lever other end of lever that it measures axis, and, when the centre distance of current setting element and rear setting element is its zero-bit centre distance, center distance measurement gauge outfit measures axes normal in the center line of now prelocalization element axis or the centre of sphere and revolute pair axis, can record prelocalization element and the centre distance knots modification of rear setting element near its zero-bit centre distance, described radial measurement gauge outfit to be directly or indirectly fixedly connected on body by locking mode and can to measure axis direction along it after locking is unclamped and changes position, radial measurement gauge outfit is between prelocalization element and rear setting element, it is measured axis and prelocalization element and in rear setting element is cylindrical prelocalization element or setting element axis antarafacial is vertical afterwards, and, when the centre distance of current setting element and rear setting element is its zero-bit centre distance, radial measurement gauge outfit measures intersect vertical axis in the mid point of now prelocalization element and rear setting element center line.
For adapting to different modulus, the number of teeth, modification coefficient, and the situation such as different measuring method adopts the needs of same set of measurement mechanism, the zero-bit centre distance of prelocalization element and rear setting element needs to adjust, for this reason, in the rear setting element is fixedly connected with a location survey seat afterwards, described radial measurement gauge outfit is fixedly connected with a radial survey seat, wherein, described rear location is surveyed seat and is become straight-line displacement sliding connection in the same direction also can lock with body with radial seat of surveying respectively with body, when herein afterwards location survey seat and radial survey to be described rear location and to survey seat and radial direction and survey seat and be indirectly fixed on a kind of mode on body when seat lock with body, prelocalization element when described straight-line displacement direction is its zero-bit centre distance with prelocalization element with rear setting element centre distance is identical with rear setting element centerline direction.
Adopt the needs of same set of measurement mechanism for adapting to different modulus and modification coefficient gear, described prelocalization element and rear setting element arrange the different right cylinder of a series of diameter or spheroid respectively as annex, can change.
When described prelocalization element and rear setting element are all a right cylinder, during for reducing to manufacture, prelocalization element and the parallelism error of rear setting element axis or tested gear teeth are to the impact of parallelism error on measurement result, one of them cylinder length is very short, and another right cylinder is relatively long.
When measuring for even number gear circular pitch deviation, between cog set by described device is measured accessory bag and is measured gauge outfit containing a tooth space positioning element and a between cog, wherein, described tooth space positioning element is a right cylinder, and it is a linear displacement measurement device that between cog measures gauge outfit; Described between cog is measured gauge outfit and is fixedly connected on tooth space positioning element, and it measures intersect vertical axis in tooth space positioning element axis.
In first scheme, described device comprises a prelocalization element, setting element after, center distance measurement gauge outfit, radial measurement gauge outfit, leverage, one afterwards location survey seat, one radially survey seat and a body as reference for assembling, wherein, described prelocalization element is a right cylinder or a spheroid, described rear setting element is also a right cylinder or a spheroid, their diameter is identical, but is a spheroid when prelocalization element is different with rear setting element, described center distance measurement gauge outfit and radial measurement gauge outfit are all a linear displacement measurement device, described prelocalization element and rear setting element are positioned at body homonymy, and, when current setting element and rear setting element are all a right cylinder, their axis being parallel, described rear setting element is fixedly connected on body indirectly, described leverage comprises a lever, lever one end of lever is fixedly connected with prelocalization element, by a revolute pair, lever and body are linked together, wherein, be cylindrical prelocalization element or rear setting element axis being parallel in revolute pair axis and prelocalization element and rear setting element, and, current setting element along with lever rotate around revolute pair axis thus change the centre distance of prelocalization element and rear setting element time, there is such position, the transient motion direction of prelocalization element axis or the centre of sphere is with now prelocalization element is identical with rear setting element centerline direction, the centre distance defining now prelocalization element and rear setting element is its zero-bit centre distance, described center distance measurement gauge outfit is fixedly connected on body, it is crossing with the lever other end of lever that it measures axis, and, when the centre distance of current setting element and rear setting element is its zero-bit centre distance, center distance measurement gauge outfit measures axes normal in the center line of now prelocalization element axis or the centre of sphere and revolute pair axis, can record prelocalization element and the centre distance knots modification of rear setting element near its zero-bit centre distance, described radial measurement gauge outfit to be indirectly fixedly connected on body by locking mode and can to measure axis direction along it after locking is unclamped and changes position, radial measurement gauge outfit is between prelocalization element and rear setting element, it is measured axis and prelocalization element and in rear setting element is cylindrical prelocalization element or setting element axis antarafacial is vertical afterwards, and, when the centre distance of current setting element and rear setting element is its zero-bit centre distance, radial measurement gauge outfit measures intersect vertical axis in the mid point of now prelocalization element and rear setting element center line,
In the rear setting element is fixedly connected with rear location and surveys seat, described radial measurement gauge outfit is fixedly connected with radial survey seat, wherein, described rear location is surveyed seat and is become straight-line displacement sliding connection in the same direction also can lock with body with radial seat of surveying respectively with body, when herein afterwards location survey seat and radial survey to be described rear location above and to survey seat and radial direction and survey seat and be indirectly fixed on mode on body when seat lock with body, prelocalization element when described straight-line displacement direction is its zero-bit centre distance with prelocalization element with rear setting element centre distance is identical with rear setting element centerline direction.
Described prelocalization element and rear setting element arrange the different right cylinder of a series of diameter or spheroid respectively as annex, can change.
When described prelocalization element and rear setting element are all a right cylinder, one of them cylinder length is very short, and another right cylinder is relatively long.
The difference one of technical scheme one and technical scheme two is that the latter does not have between cog to measure annex, two is that technical scheme one is passable, also rear location be can not comprise and seat and radial survey seat surveyed, rear setting element and radial measurement gauge outfit can be direct, also can indirectly be fixedly connected on body, and second technical scheme must comprise rear location survey seat and radial seat of surveying, and, rear setting element is surveyed seat be fixedly connected with rear location, survey seat and body by locking rear location rear setting element is fixedly connected on body indirectly, radial measurement gauge outfit is surveyed seat with radial direction and is fixedly connected with, radial seat is surveyed and body makes radial measurement gauge outfit indirectly be fixedly connected on body by locking.
The measuring method of measurement mechanism of the present invention belongs to indirect inspection, need the geometric relationship of measurement mechanism and the tested gear formed according to concrete adopted measuring method and this measuring method, by the parameter of measurement mechanism, the type of tested gear and parameter, and survey measurements sets up the circular pitch deviation that corresponding mathematical equation solves tested gear.
Beneficial effect: when measurement mechanism of the present invention is measured, no matter adopt what technical scheme and method, basic operation is all be stuck in two between cog of tested gear by two setting elements, contact condition is stable and even without the need to observing contact situation, direct reading, thus simple to operate, the repeatability of measurement data is greatly improved, and ensure that measuring accuracy.In addition, measurement mechanism of the present invention also has the advantage that one-shot measurement can obtain both sides transverse pitch deviation simultaneously.
Accompanying drawing explanation
Front elevation when Fig. 1 is embodiment of the present invention measurement annular wheel;
Fig. 2 is 2 times, Figure 1A-A cross section cut-open view;
Fig. 3 is 2 times, Figure 1B-B cross section cut-open view;
Fig. 4 is 2 times, Fig. 1 C-C cross section cut-open view;
Fig. 5 is 2 times, Fig. 1 D-D cross section cut-open view;
Front elevation when Fig. 6 is embodiment of the present invention between cog measurement annex measurement annular wheel;
Fig. 7 is 2 times, Fig. 6 A-A cross section cut-open view;
Fig. 8 is embodiment of the present invention measuring method example 1 instrumentation plan;
Fig. 9 is left flank tooth pitch schematic diagram;
Figure 10 is code name α in embodiment of the present invention measuring method example 1 formula q, α kand r qschematic diagram;
Figure 11 is that embodiment of the present invention measuring method example 1 between cog measures annex instrumentation plan;
Figure 12 is embodiment of the present invention measuring method example 2 instrumentation plan.
Drawing reference numeral illustrates: 11-prelocalization element; Setting element after 12-; 13-center distance measurement gauge outfit; 131-center distance measurement gauge outfit installation shaft; 14-radial measurement gauge outfit; 141-radial measurement gauge outfit installation shaft; 15-body; 151-body square hole; 152-body rotates secondary orifices; 153-body shaft; 1531-body keyway; 1532-body shaft elongated hole; 16-leverage; 161-lever; 1611-lever one end; The 1612-lever other end; 1613-lever rotation secondary orifices; 162-lever rotation is secondary; 1621-lever rotation countershaft; The middle part axle of 16211-lever rotation countershaft 1621; Position, the both sides axle of 16212-lever rotation countershaft 1621; The secondary rolling bearing of 1622-lever rotation; After 17-, seat is surveyed in location; After 171-, seat ring is surveyed in location; After 1711-, seat slip hole is surveyed in location; After 1712-, seat keyway is surveyed in location; After 172-, seat feather key is surveyed in location; After 173-, seat lock-screw is surveyed in location; 18-radial direction surveys seat; 181-radial direction surveys seat ring; 1811-radial direction surveys seat slip hole; 1812-radial direction surveys seat keyway; 1813-radial measurement gauge outfit mounting hole; 182-radial direction surveys seat feather key; 183-radial direction surveys seat lock-screw; 184-radial measurement gauge outfit lock-screw; 19-center distance measurement gauge outfit bearing; 191-center distance measurement gauge outfit mounting hole; 192-center distance measurement gauge outfit lock-screw; 3-between cog measures annex; 31-tooth space positioning element; 311-between cog measures gauge outfit mounting hole; 32-between cog measures gauge outfit; 321-between cog measures gauge outfit installation shaft; 33-between cog measures gauge outfit lock-screw.
Embodiment
As shown in Figure 1, for technical scheme one, when measuring for odd number gear gears tooth pitch deviation, embodiment of the present invention device comprises setting element 12, center distance measurement gauge outfit 13, radial measurement gauge outfit 14, leverage 16 and a body 15 as reference for assembling after a prelocalization element 11, when measuring for even number gear circular pitch deviation, embodiment of the present invention device also comprises an independently between cog measurement annex 3, wherein, described prelocalization element 11 and rear setting element 12 are all that a right cylinder is (for the reason such as being connected, eliminate part to the inoperative periphery of measurement and positioning), their diameter is identical, described center distance measurement gauge outfit 3 and radial measurement gauge outfit 14 are all a digital display dial gauge, described prelocalization element 11 and rear setting element 12 are positioned at body 15 homonymy, their axis being parallel, described rear setting element 12 is directly or indirectly fixedly connected on body 15, described leverage 16 comprises a lever 161, lever one end 1611 of lever 161 is fixedly connected with prelocalization element 11, by a revolute pair 162, lever 161 and body 15 are linked together, wherein, revolute pair 162 axis and prelocalization element 11 and rear setting element 12 axis being parallel, and, current setting element 11 is along with lever 161 is around revolute pair 16) axis being when rotating thus change the centre distance of prelocalization element 11 and rear setting element 12, there is such position, the transient motion direction of prelocalization element 11 axis is with now prelocalization element 11 is identical with rear setting element 12 centerline direction, now the centre distance of prelocalization element 11 and rear setting element 12 is its zero-bit centre distance, described center distance measurement gauge outfit 13 is fixedly connected on body 15, it is crossing with the lever other end 1612 of lever 161 that it measures axis, and, when the centre distance of current setting element 11 and rear setting element 12 is its zero-bit centre distance, center distance measurement gauge outfit 13 measures axes normal in the center line of now prelocalization element 11 axis and revolute pair 162 axis, can record prelocalization element 11 and the centre distance knots modification of rear setting element 12 near its zero-bit centre distance, described radial measurement gauge outfit 14 to be directly or indirectly fixedly connected on body 15 by locking mode and can to measure axis direction along it after locking is unclamped and changes position, radial measurement gauge outfit 14 is between prelocalization element 11 and rear setting element 12, it is vertical with rear setting element 12 axis antarafacial with prelocalization element 11 that it measures axis, and, when the centre distance of current setting element 11 and rear setting element 12 is its zero-bit centre distance, radial measurement gauge outfit 14 measures intersect vertical axis in the mid point of now prelocalization element 11 and rear setting element 12 center line.
As shown in Figure 1,2 and 3, as structure and the relation that is described above and device other parts thereof of embodiment of the present invention device leverage 16, its specific implementation is: first, body 15 has the body square hole 151 that is square hole, the prelocalization element 11 of its axes normal when prelocalization element 11 and rear setting element 12 centre distance are its zero-bit centre distance and rear setting element 12 center line, lever 161 to be placed among body square hole 151 along body square hole 151 axis direction and to have enough large gap, the second, lever 161 middle part has a lever rotation secondary orifices 1613 being hole, and the middle part axle 16211 one-tenth interference fit being the lever rotation countershaft 1621 of multidiameter with are connected, 3rd, position, the both sides axle 16212 of the lever rotation countershaft 1621 of two same diameter is that secondary rolling bearing 1622 inner ring of lever rotation of identical rolling bearing becomes transition fit to connect respectively with two, 4th, the body that secondary rolling bearing 1622 outer ring of two lever rotation is coaxial hole with two on body 15 respectively rotates secondary orifices 152 one-tenth transition fit and is connected, wherein, two bodies rotate axis and body square hole 151 intersect vertical axis of secondary orifices 152, like this, lever rotation secondary orifices 1613, the secondary rolling bearing 1622 of lever rotation countershaft 1621, two lever rotation and two bodies rotate the common composition of secondary orifices 152 and rotate with two bodies the revolute pair 162 that secondary orifices 152 axis are axis, lever 161 and body 15 are linked together, 5th, prelocalization element 11 and lever 161 one end 1611 adopt thread connecting mode to be connected to such position, when the centre distance of current setting element 11 and rear setting element 12 is its zero-bit centre distance, the center line of itself and revolute pair 162 and body square hole 151 dead in line, 6th, digital display dial gauge as center distance measurement gauge outfit 13 there is one with its measurement axis coaxle, for the between cog of its installation shaft measures gauge outfit installation shaft 131, a center distance measurement gauge outfit bearing 19 adopting interference fit to be connected on body 15 has one as the center distance measurement gauge outfit mounting hole 191 in hole, when the centre distance of current setting element 11 and rear setting element 12 is its zero-bit centre distance, center distance measurement gauge outfit mounting hole 191 axis and now prelocalization element 11 and rear setting element 12 center line are in the same way, and, crossing with the lever 161 lever other end 1612, make between cog measurement gauge outfit installation shaft 131 with center distance measurement gauge outfit mounting hole 191 one-tenth clearance fit and center distance measurement gauge outfit 13 gauge head is contacted with lever 161 other end 1612, then by the center distance measurement gauge outfit lock-screw 192 as lock-screw, center distance measurement gauge outfit 13 is locked on center distance measurement gauge outfit bearing 19, thus be indirectly fixed on body 15.Obviously, when the centre distance of current setting element 11 and rear setting element 12 is its zero-bit centre distance, center distance measurement gauge outfit 13 measures axes normal in the center line of prelocalization element 11 and revolute pair 162, and, when lever 161 rotates around revolute pair 162 axis, because the existence in gap between lever 161 and body square hole 151, the centre distance of prelocalization element 11 and rear setting element 12 can change near its zero-bit centre distance, and this knots modification can be recorded by center distance measurement gauge outfit 13.
As Fig. 1, 2, shown in 4 and 5, embodiment of the present invention device arranges the rear location fixedly connected thereto of setting element 12 after and surveys seat 17 and radial measurement gauge outfit 14 radial direction fixedly connected thereto surveys seat 18, wherein, rear location is surveyed seat 17 and is become straight-line displacement sliding connection in the same direction also can lock with body 15 with radial seat 18 of surveying respectively with body 15, prelocalization element 11 when described straight-line displacement direction is its zero-bit centre distance with prelocalization element 11 with rear setting element 12 centre distance is identical with rear setting element 12 centerline direction, specific implementation is: first, rear location is surveyed seat 17 and is comprised rear location survey seat ring 171 and a radial survey seat ring 181 respectively with radial survey on seat 18, they have the rear location that is hole and survey the radial direction survey seat slip hole 1811 that seat slip hole 1711 and be hole, body 15 is shaped with the body shaft 153 that is axle, prelocalization element 11 when the axis of body shaft 153 is its zero-bit centre distance with prelocalization element 11 with rear setting element 12 centre distance is identical with rear setting element 12 centerline direction, rear location is surveyed seat slip hole 1711 and is connected with body shaft 153 one-tenth clearance fit with radial seat slip hole 1811 of surveying, second, rear location surveys seat 17 and radial survey seat 18 surveys respectively seat slip hole 1711 and radial survey seat slip hole 1811 has the rear location that is rectangle keyway and survey the radial direction survey seat keyway 1812 that seat keyway 1712 and be rectangle keyway in rear location, body shaft 153 has the body keyway 1531 that is rectangle keyway, it be that the radial direction of square key is surveyed seat feather key 182 and surveyed seat keyway 1712 survey seat keyway 1812 one-tenth interference fit and be connected with radial with rear location respectively that seat feather key 172 and is surveyed in the rear location adopting to be square key, and is connected with body keyway 1531 one-tenth clearance fit.Obviously, these two measures ensure that seat 17 is surveyed in rear location and radial seat 18 and the body 15 surveyed is in line displacement sliding connection, and the prelocalization element 11 when described straight-line displacement direction is its zero-bit centre distance with prelocalization element 11 with rear setting element 12 centre distance is identical with rear setting element 12 centerline direction; 3rd, rear location is surveyed the rear location be connected to as lock-screw on seat ring 171 and radial direction survey seat ring 181 and is surveyed seat lock-screw 173 and radial survey seat lock-screw 183, tightening them can be locked on body 15 by rear location survey seat 17 and radial seat 18 of surveying respectively, when position after locking needs to ensure the centre distance of current setting element 11 and rear setting element 12 for its zero-bit centre distance, radial measurement gauge outfit 14 measures intersect vertical axis in the mid point of now prelocalization element 11 and rear setting element 12 center line.Finally, after illustrating, setting element 12 and radial measurement gauge outfit 14 are connected respectively to rear location survey seat 17 and survey seat 18 thus the mode be indirectly fixedly attached on body 15 with radial: as shown in Figure 4, rear setting element 12 adopts thread connecting mode to be connected on rear location survey seat contiguous block 173, and rear location is surveyed seat contiguous block 173 and also adopted thread connecting mode to be connected on rear location survey seat ring 171, as shown in figures 2 and 5, digital display dial gauge as radial measurement gauge outfit 14 there is one with its measurement axis coaxle, for the radial measurement gauge outfit installation shaft 141 of its installation shaft, radial seat ring 181 of surveying has the radial measurement gauge outfit mounting hole 1813 that is hole, it is vertical that this axially bored line and radial direction survey seat keyway 1812 direction antarafacial, and survey seat slip hole 1811 intersect vertical axis with radial direction, radial measurement gauge outfit installation shaft 141 and radial measurement gauge outfit mounting hole 1813 one-tenth clearance fit are connected, radial measurement gauge outfit 14 can be locked by the radial measurement gauge outfit lock-screw 184 of locking as lock-screw and be fixed on radial survey seat ring 181 again, this structure makes radial measurement gauge outfit 14 measure axis direction at it can to adjust it and to survey position on seat 18 in radial direction.In addition, in order to ensure that radial measurement gauge outfit 14 is not interfering with body shaft 153 during slippage in body shaft 153 with radial direction survey seat 18, and body shaft 153 has the body shaft elongated hole 1532 that is elongated hole.
As shown in Figures 2 and 3, axial length L1 is very short for embodiment of the present invention device prelocalization element 11, and then setting element 12 axial length L2 is relatively long.
According to the rules, require when circular pitch deviation is measured that setting element and tooth contact are at tooth depth near middle, therefore, for the gear of different modulus and modification coefficient, the diameter of prelocalization element 11 and rear setting element 12 needs to change, in order to adopt same set of measurement mechanism, embodiment of the present invention device prelocalization element 11 and rear setting element 12 are provided with the different right cylinder of a series of diameter as annex, in order to changing.
As shown in Figures 6 and 7, between cog set by embodiment of the present invention device is measured annex 3 and is comprised a tooth space positioning element 31 and a between cog measurement gauge outfit 32, wherein, tooth space positioning element 31 is that a right cylinder is (for reasons such as connections, eliminate part to the inoperative periphery of measurement and positioning), it is a digital display dial gauge that between cog measures gauge outfit 32, between cog is measured gauge outfit 32 and is fixedly connected on tooth space positioning element 31, it measures intersect vertical axis in tooth space positioning element 31 axis, specific implementation is: measuring the digital display dial gauge of gauge outfit 32 as between cog has one with its measurement axis coaxle, for the between cog of its installation shaft measures gauge outfit installation shaft 321, tooth space positioning element 31 has the between cog measurement gauge outfit mounting hole 311 that is hole, its intersect vertical axis is in tooth space positioning element 31 axis, like this, make this between cog measurement gauge outfit installation shaft 321 measure gauge outfit mounting hole 311 one-tenth clearance fit with between cog and can ensure that between cog is measured gauge outfit 32 and measured intersect vertical axis in tooth space positioning element 31 axis.In addition, measure gauge outfit lock-screw 33 by locking as the between cog of lock-screw between cog to be measured gauge outfit 32 and be fixed on tooth space positioning element 31, this structure makes between cog measure gauge outfit 32 to measure axis direction at it and can adjust its position on tooth space positioning element 31.
For the embodiment of the present invention device of technical scheme two, measure except annex 3 except not comprising between cog, identical with the embodiment of the present invention device for technical scheme one.
The measuring method of embodiment of the present invention device belongs to indirect inspection, need the geometric relationship of measurement mechanism and the tested gear formed according to concrete adopted measuring method and this measuring method, by the parameter of measurement mechanism, the type of tested gear and parameter, and survey measurements sets up the circular pitch deviation that corresponding mathematical equation solves tested gear.Be explained with two examples for technical scheme one and technical scheme two respectively below.
First example is for technical scheme one, tested gear is standard involute straight tooth column outer rotor, measure and calculate its left flank (for convenience of describing, specify herein, when just gear being observed, be the left flank of gear with the left flank of the uppermost gear teeth along the gear teeth flank of tooth of pinion rotation direction homonymy) circular pitch deviation.Schematic diagram as shown in Figure 8, method of operating is: first, is sorted by tested gear tooth, is 1,2 ..., n, wherein n is the number of teeth of tested gear, secondly, diameter is set to d pprelocalization element 11 be stuck between tested gear n-th tooth and the 1st tooth, diameter is also d prear setting element 12 be stuck between the 1st tooth and the 2nd tooth, make the adjacent flank of tooth of prelocalization element 11 face of cylinder and the n-th tooth and the 1st tooth tangent, the adjacent flank of tooth of rear setting element 12 face of cylinder and the 1st tooth and the 2nd tooth is tangent, after adjustment, location is surveyed seat 17 and is surveyed the position of seat 18 on body 15 with radial, the centre distance of now prelocalization element 11 and rear setting element 12 is made to be its zero-bit centre distance, the centre distance that radial measurement gauge outfit 14 measures axis and prelocalization element 11 axis is then this zero-bit centre distance half, after locking, location is surveyed seat 17 and is surveyed seat 18 with radial, then, adjustment radial measurement gauge outfit 14 measures the position of axis direction at it, its gauge head is contacted with tested gear teeth tip circle, locking radial measurement gauge outfit 14, read the reading of now center distance measurement gauge outfit 13 and radial measurement gauge outfit 14, be designated as Δ l respectively t1with Δ h t1, again, prelocalization element 11 is stuck between tested gear the 1st tooth and the 2nd tooth, rear setting element 12 is stuck between the 2nd tooth and the 3rd tooth, make the adjacent flank of tooth of prelocalization element 11 face of cylinder and the 1st tooth and the 2nd tooth tangent, the adjacent flank of tooth of rear setting element 12 face of cylinder and the 2nd tooth and the 3rd tooth is tangent, radial measurement gauge outfit 14 gauge head contacts with tested gear teeth tip circle, reads the reading of now center distance measurement gauge outfit 13 and radial measurement gauge outfit 14, is designated as Δ l respectively t2with Δ h t2, by that analogy, finally, prelocalization element 11 is stuck between tested gear (n-1)th tooth and the n-th tooth, rear setting element 12 is stuck between the n-th tooth and the 1st tooth, make the adjacent flank of tooth of prelocalization element 11 face of cylinder and the (n-1)th tooth and the n-th tooth tangent, the adjacent flank of tooth of rear setting element 12 face of cylinder and the n-th tooth and the 1st tooth is tangent, and radial measurement gauge outfit 14 gauge head contacts with tested gear teeth tip circle, read the reading of now center distance measurement gauge outfit 13 and radial measurement gauge outfit 14, be designated as Δ l respectively tnwith Δ h tn.If tested module is m, the number of teeth is z, and pressure angle is α, note ΔL t = Δl t 1 Δl t 2 . . . Δl tn , ΔH t = Δh t 1 Δh t 2 . . . Δh tn , I = 1 0 . . . 0 0 1 . . . 0 . . . . . . . . . . . . 0 0 . . . 1 , I ↓ 1 = 0 0 . . . 0 1 1 0 . . . 0 0 0 1 . . . 0 0 . . . . . . . . . . . . . . . 0 0 . . . 1 0 n × n
As shown in Figure 9, remember again
ΔP L = Δp L 1,2 Δp L 2,3 . . . . . . Δp Ln , 1
Wherein, p l1,2be the 1st tooth and the tooth pitch of the 2nd tooth left flank on reference circle, Δ p l1,2for its circular pitch deviation, p l2,3be the 2nd tooth and the tooth pitch of the 3rd tooth left flank on reference circle, Δ p l2,3for its circular pitch deviation, by that analogy, finally, p ln, 1be the n-th tooth and the tooth pitch of the 1st tooth left flank on reference circle, Δ p ln, 1for its circular pitch deviation, then can be obtained the circular pitch deviation of the tested gear left flank when number of teeth is odd number by following equation:
ΔP L = ΔP L ′ - ( 1,2 , . . . , n ) ΔP L ′ n - - - ( 1 )
Wherein,
ΔP L ′ = ΔQ t - ( I ↓ 1 - I ) ΔE 2 - - - ( 2 )
ΔE = - 2 sin α q cos α Δ R q - - - ( 3 )
ΔQ t = - mz tan π z 2 r q ( I ↓ 1 + I ) ΔR q + mz 2 r q cos π z ΔL t - - - ( 4 )
ΔR q = - ( I ↓ 1 + I ) - 1 ( 2 cos π z ΔH t - sin π z ΔL t ) - - - ( 5 )
Wherein, as shown in Figure 10, α qfor with between angle, r qfor length, wherein, Q is that to be stuck between any two teeth of tested gear that supposition do not exist circular pitch deviation, diameter be d pthe center of circle of circle, this circle is tangent with the adjacent flank of tooth of two teeth be stuck in wherein, and K is one of them point of contact, and O is the tested rolling circle center of circle, for tested rolling circle tangent line, B is point of contact, wherein, and α qand r qfollowing system of equations can be separated obtain:
r q = mz cos α 2 cos α q - - - ( 6 )
α q = tan α k - tan α + α + π 2 z - - - ( 7 )
mzcosαtanα q-d p=mzcosαtanα k(8)
Wherein, as shown in Figure 10, α kfor with between angle.
When the tested gear number of teeth is even number, because the matrix I in formula (5) ↓ 1+ I order is n-1, and it is against not existing, so without solution.For addressing this problem, need to use between cog to measure annex 3.As shown in figure 11, a kind of method is: diameter is also taken as d ptooth space positioning element 31 be stuck in tested gear by between aforementioned gear teeth sequence number n-th tooth and the 1st tooth, make the adjacent flank of tooth of itself and the n-th tooth and the 1st tooth tangent, simultaneously, adjustment between cog measures gauge outfit 32 measures axis direction position at it, its gauge head is contacted with tested Gear Root circle, between locking teeth, measures gauge outfit 32, around about tooth space positioning element 31 axis, rotate whole between cog measurement annex 3 slightly, read between cog and measure gauge outfit 32 least count during this period, be designated as Δ h en, 1; Then, tooth space positioning element 31 is stuck between tested gear the 1st tooth and the 2nd tooth, make the adjacent flank of tooth of itself and the 1st tooth and the 2nd tooth tangent, simultaneously, make between cog measure gauge outfit 32 gauge head to contact with tested Gear Root circle, around about tooth space positioning element 31 axis, rotate whole between cog measurement annex 3 slightly, read between cog and measure gauge outfit 32 least count during this period, be designated as Δ h e1,2, remember again
C = - 2 0 . . . 0 0 0 . . . 0 . . . . . . . . . . . . 0 0 . . . 0 n × n , D = 0 0 . . . 0 0 1 . . . 0 . . . . . . . . . . . . 0 0 . . . 1 n × n , v = 1 0 . . . 0 n × 1
The circular pitch deviation of the tested gear left flank when number of teeth is even number then can be obtained with following formula alternate form (5):
ΔR q = - ( I ↓ 1 + I + C ) - 1 ( 2 cos π z DΔH t - sin π z DΔL t - ( Δh en , 1 - Δh el , 2 ) v ) - - - ( 9 )
Second example is for technical scheme two, and tested gear is also standard involute straight tooth column outer rotor, measures and calculates the circular pitch deviation of its left flank.Schematic diagram as shown in figure 12, method of operating is: first, is sorted by tested gear tooth, is 1,2 ..., n, wherein n is the number of teeth of tested gear, secondly, prelocalization element 11 is stuck between tested gear n-th tooth and the 1st tooth, rear setting element 12 is stuck between the 2nd tooth and the 3rd tooth, make the adjacent flank of tooth of prelocalization element 11 face of cylinder and the n-th tooth and the 1st tooth tangent, the adjacent flank of tooth of rear setting element 12 face of cylinder and the 2nd tooth and the 3rd tooth is tangent, after adjustment, location is surveyed seat 17 and is surveyed the position of seat 18 on body 15 with radial, the centre distance of now prelocalization element 11 and rear setting element 12 is made to be its zero-bit centre distance, the centre distance that radial measurement gauge outfit 14 measures axis and prelocalization element 11 axis is then this zero-bit centre distance half, after locking, location is surveyed seat 17 and is surveyed seat 18 with radial, then, adjustment radial measurement gauge outfit 14 measures the position of axis direction at it, its gauge head is contacted with tested Gear Root circle, locking radial measurement gauge outfit 14, read the reading of now center distance measurement gauge outfit 13 and radial measurement gauge outfit 14, be designated as Δ l respectively 2t1,2with Δ h 2t1,2, again, prelocalization element 11 is stuck between tested gear the 1st tooth and the 2nd tooth, rear setting element 12 is stuck between the 3rd tooth and the 4th tooth, make the adjacent flank of tooth of prelocalization element 11 face of cylinder and the 1st tooth and the 2nd tooth tangent, the adjacent flank of tooth of rear setting element 12 face of cylinder and the 3rd tooth and the 4th tooth is tangent, radial measurement gauge outfit 14 gauge head contacts with tested Gear Root circle, reads the reading of now center distance measurement gauge outfit 13 and radial measurement gauge outfit 14, is designated as Δ l respectively 2t2,3with Δ h 2t2,3, by that analogy, finally, prelocalization element 11 is stuck between tested gear (n-1)th tooth and the n-th tooth, rear setting element 12 is stuck between the 1st tooth and the 2nd tooth, make the adjacent flank of tooth of prelocalization element 11 face of cylinder and the (n-1)th tooth and the n-th tooth tangent, the adjacent flank of tooth of rear setting element 12 face of cylinder and the 1st tooth and the 2nd tooth is tangent, and radial measurement gauge outfit 14 gauge head contacts with tested Gear Root circle, read the reading of now center distance measurement gauge outfit 13 and radial measurement gauge outfit 14, be designated as Δ l respectively 2tn, 1with Δ h 2tn, 1.Note ΔL 2 t = Δl 2 t 1,2 Δl 2 t 2,3 . . . . . . Δl 2 tn , 1 , ΔH 2 t = Δh 2 t 1,2 Δh 2 t 2,3 . . . . . . Δh 2 tn , 1 , I ↑ 1 = 0 1 0 . . . 0 0 0 0 1 . . . 0 0 . . . . . . . . . . . . . . . . . . 0 0 0 . . . 0 1 1 0 0 . . . 0 0 n × n ,
The circular pitch deviation of the tested gear left flank when number of teeth is odd number can be obtained by following formula:
ΔP L = ΔP L ′ - ( 1,2 , . . . , n ) ΔP L ′ n - - - ( 10 )
Wherein,
ΔP L ′ = ( I ↑ 1 + I ) - 1 ( ΔQ 2 t - ( I ↓ 1 - I ↑ 1 ) ΔE 2 ) - - - ( 11 )
ΔE = - 2 sin α q cos α ΔR q - - - ( 12 )
ΔQ 2 t = - mz tan 2 π z 2 r q ( I ↓ 1 + I ↑ 1 ) ΔR q + mz 2 r q cos 2 π z ΔL 2 t - - - ( 13 )
ΔR q = - ( I ↓ 1 + I ↑ 1 ) - 1 ( 2 cos 2 π z Δ H 2 t - sin 2 π z Δ L 2 t ) - - - ( 14 )
Wherein, Δ P l, I, I ↓ 1, m, z, α, α qand r qdeng identical with aforementioned first example corresponding code name meaning and expression formula.It may be noted that the circular pitch deviation of the tested gear left flank when embodiment of the present invention in technical scheme one adopts that also can to obtain the number of teeth be in this way odd number.
When the number of teeth of tested gear is even number, because the matrix I in formula (11) ↑ 1+ I order is n-1, and it is against not existing, so without solution.For addressing this problem, with reference to figure 8, one method is: first, prelocalization element 11 is stuck in tested gear by between aforementioned gear teeth sequence number n-th tooth and the 1st tooth, rear setting element 12 is stuck between the 1st tooth and the 2nd tooth, make the adjacent flank of tooth of prelocalization element 11 face of cylinder and the n-th tooth and the 1st tooth tangent, the adjacent flank of tooth of rear setting element 12 face of cylinder and the 1st tooth and the 2nd tooth is tangent, after adjustment, location is surveyed seat 17 and is surveyed the position of seat 18 on body 15 with radial, the centre distance of now prelocalization element 11 and rear setting element 12 is made to be its zero-bit centre distance, after locking, location is surveyed seat 17 and is surveyed seat 18 with radial, read the reading of now center distance measurement gauge outfit 13, be designated as Δ l t1, secondly, prelocalization element 11 is stuck between tested gear the 1st tooth and the 2nd tooth, rear setting element 12 is stuck between the 2nd tooth and the 3rd tooth, make the adjacent flank of tooth of prelocalization element 11 face of cylinder and the 1st tooth and the 2nd tooth tangent, the adjacent flank of tooth of rear setting element 12 face of cylinder and the 2nd tooth and the 3rd tooth is tangent, read the reading of now center distance measurement gauge outfit 13, be designated as Δ l t2.The circular pitch deviation of the tested gear left flank when number of teeth is even number can be obtained with following formula alternate form (11):
ΔP L ′ = ( I ↑ 1 + I + C ) - 1 ( DΔQ 2 t - ( I ↓ 1 - I ↑ 1 ) DΔE 2 + ( Δp L 2,3 ′ - Δp L 1,2 ′ ) v ) - - - ( 15 )
Wherein,
Δp L 1,2 ′ = Δq t 1 - Δe n , 1 2 + Δe 1,2 2 - - - ( 16 )
Δp L 2,3 ′ = Δq t 2 - Δe 1,2 2 + Δe 2,3 2 - - - ( 17 )
Δq t 1 = - mz tan π z 2 π q ( Δr qn , 1 + Δr q 1 , 2 ) + mz 2 r q cos π z - - - ( 18 )
Δq t 2 = - mz tan π z 2 r q ( Δr q 1,2 + Δr q 2,3 ) + mz 2 r q cos π z Δl t 2 - - - ( 19 )
Wherein, C, D are identical with aforementioned first example corresponding code name expression formula with v etc., Δ e 1,2, Δ e 2,3with Δ e n, 1be respectively the 1st, 2 and n item in the Δ E array calculated by formula (12), Δ r q1,2, Δ r q2,3with Δ r qn, 1be respectively the Δ R calculated by formula (14) qin array the 1st, 2 and n item.
Visible, technical scheme two solves even number tooth problem does not need between cog to measure annex 3, but device must have rear location to survey seat 17 and radial survey seat 18, because the zero-bit centre distance of prelocalization element 11 and rear setting element 12 needs to change.

Claims (7)

1. the device measured for large-scale straight spur gear circular pitch deviation, it is characterized in that, when measuring for odd number gear gears tooth pitch deviation, this device comprises a prelocalization element (11), setting element (12), center distance measurement gauge outfit (13), a radial measurement gauge outfit (14), a leverage (16) and the body as reference for assembling (15) after one, when measuring for even number gear circular pitch deviation, this device also comprises independently between cog measurement annex (3), wherein, described prelocalization element (11) is a right cylinder or a spheroid, described rear setting element (12) is also a right cylinder or a spheroid, their diameter is identical, but is a spheroid when prelocalization element (11) is different with rear setting element (12), described center distance measurement gauge outfit (13) and radial measurement gauge outfit (14) are all a linear displacement measurement device, described prelocalization element (11) and rear setting element (12) are positioned at body (15) homonymy, and, when current setting element (11) and rear setting element (12) they are all a right cylinder, their axis being parallel, described rear setting element (12) is directly or indirectly fixedly connected on body (15), described leverage (16) comprises a lever (161), lever one end (1611) of lever (161) is fixedly connected with prelocalization element (11), by a revolute pair (162), lever (161) and body (15) are linked together, wherein, be cylindrical prelocalization element (11) or rear setting element (12) axis being parallel in revolute pair (162) axis and prelocalization element (11) and rear setting element (12), and, current setting element (11) along with lever (161) rotate around revolute pair (162) axis thus change prelocalization element (11) and the centre distance of rear setting element (12) time, there is such position, the transient motion direction of prelocalization element (11) axis or the centre of sphere is with now prelocalization element (11) is identical with rear setting element (12) centerline direction, the centre distance defining now prelocalization element (11) and rear setting element (12) is its zero-bit centre distance, described center distance measurement gauge outfit (13) is fixedly connected on body (15), it is crossing with the lever other end (1612) of lever (161) that it measures axis, and, when the centre distance of current setting element (11) and rear setting element (12) is its zero-bit centre distance, center distance measurement gauge outfit (13) measures axes normal in the center line of now prelocalization element (11) axis or the centre of sphere and revolute pair (162) axis, prelocalization element (11) and the centre distance knots modification of rear setting element (12) near its zero-bit centre distance can be recorded, described radial measurement gauge outfit (14) is directly or indirectly fixedly connected on body (15) by locking mode and goes up and can measure axis direction change position along it after locking is unclamped, radial measurement gauge outfit (14) is positioned between prelocalization element (11) and rear setting element (12), it is measured axis and prelocalization element (11) and in rear setting element (12) is cylindrical prelocalization element (11) or setting element (12) axis antarafacial is vertical afterwards, and, when the centre distance of current setting element (11) and rear setting element (12) is its zero-bit centre distance, radial measurement gauge outfit (14) measures intersect vertical axis in the mid point of now prelocalization element (11) and rear setting element (12) center line,
In the rear setting element (12) is fixedly connected with location survey seat (17) afterwards, described radial measurement gauge outfit (14) is fixedly connected with radial survey seat (18), wherein, described rear location is surveyed seat (17) and is become straight-line displacement sliding connection in the same direction also can lock with body (15) with radial seat (18) of surveying respectively with body (15), when herein afterwards location survey seat (17) and radial survey to be described rear location and to survey seat (17) and radial direction and survey seat (18) and be indirectly fixed on a kind of mode on body (15) when seat (18) is locked with body (15), prelocalization element (11) when described straight-line displacement direction is its zero-bit centre distance with prelocalization element (11) with rear setting element (12) centre distance is identical with rear setting element (12) centerline direction.
2. as claimed in claim 1 for the device of large-scale straight spur gear circular pitch deviation measurement, it is characterized in that, described prelocalization element (11) and rear setting element (12) arrange the different right cylinder of a series of diameter or spheroid respectively as annex, can change.
3. as claimed in claim 1 for the device of large-scale straight spur gear circular pitch deviation measurement, it is characterized in that, when described prelocalization element (11) and rear setting element (12) are all a right cylinder, one of them cylinder length is very short, and another right cylinder is relatively long.
4. as claimed in claim 1 for the device of large-scale straight spur gear circular pitch deviation measurement, it is characterized in that, described between cog is measured annex (3) and is comprised a tooth space positioning element (31) and between cog measurement gauge outfit (32), wherein, described tooth space positioning element (31) is a right cylinder, and it is a linear displacement measurement device that between cog measures gauge outfit (32); Described between cog is measured gauge outfit (22) and is fixedly connected on tooth space positioning element (31), and it measures intersect vertical axis in tooth space positioning element (31) axis.
5. the device measured for large-scale straight spur gear circular pitch deviation, it is characterized in that, this device comprises a prelocalization element (11), setting element (12) after one, a center distance measurement gauge outfit (13), a radial measurement gauge outfit (14), a leverage (16), locate afterwards for one and survey seat (17), radial survey seat (18) and a body as reference for assembling (15), wherein, described prelocalization element (11) is a right cylinder or a spheroid, described rear setting element (12) is also a right cylinder or a spheroid, their diameter is identical, but be a spheroid when prelocalization element (11) is different with rear setting element (12), described center distance measurement gauge outfit (13) and radial measurement gauge outfit (14) are all a linear displacement measurement device, described prelocalization element (11) and rear setting element (12) are positioned at body (15) homonymy, and, when current setting element (11) and rear setting element (12) they are all a right cylinder, their axis being parallel, described rear setting element (12) is fixedly connected on body (15) indirectly, described leverage (16) comprises a lever (161), lever one end (1611) of lever (161) is fixedly connected with prelocalization element (11), by a revolute pair (162), lever (161) and body (15) are linked together, wherein, be cylindrical prelocalization element (11) or rear setting element (12) axis being parallel in revolute pair (162) axis and prelocalization element (11) and rear setting element (12), and, current setting element (11) along with lever (161) rotate around revolute pair (162) axis thus change prelocalization element (11) and the centre distance of rear setting element (12) time, there is such position, the transient motion direction of prelocalization element (11) axis or the centre of sphere is with now prelocalization element (11) is identical with rear setting element (12) centerline direction, the centre distance defining now prelocalization element (11) and rear setting element (12) is its zero-bit centre distance, described center distance measurement gauge outfit (13) is fixedly connected on body (15), it is crossing with the lever other end (1612) of lever (161) that it measures axis, and, when the centre distance of current setting element (11) and rear setting element (12) is its zero-bit centre distance, center distance measurement gauge outfit (13) measures axes normal in the center line of now prelocalization element (11) axis or the centre of sphere and revolute pair (162) axis, prelocalization element (11) and the centre distance knots modification of rear setting element (12) near its zero-bit centre distance can be recorded, described radial measurement gauge outfit (14) is directly or indirectly fixedly connected on body (15) by locking mode and goes up and can measure axis direction change position along it after locking is unclamped, radial measurement gauge outfit (14) is positioned between prelocalization element (11) and rear setting element (12), it is measured axis and prelocalization element (11) and in rear setting element (12) is cylindrical prelocalization element (11) or setting element (12) axis antarafacial is vertical afterwards, and, when the centre distance of current setting element (11) and rear setting element (12) is its zero-bit centre distance, radial measurement gauge outfit (14) measures intersect vertical axis in the mid point of now prelocalization element (11) and rear setting element (12) center line,
In the rear setting element (12) is fixedly connected with rear location and surveys seat (17), described radial measurement gauge outfit (14) is fixedly connected with radial survey seat (18), wherein, described rear location is surveyed seat (17) and is become straight-line displacement sliding connection in the same direction also can lock with body (15) with radial seat (18) of surveying respectively with body (15), when herein afterwards location survey seat (17) and radial survey to be described rear location above and to survey seat (17) and radial direction and survey seat (18) and be indirectly fixed on mode on body (15) when seat (18) is locked with body (15), prelocalization element (11) when described straight-line displacement direction is its zero-bit centre distance with prelocalization element (11) with rear setting element (12) centre distance is identical with rear setting element (12) centerline direction.
6. as claimed in claim 5 for the device of large-scale straight spur gear circular pitch deviation measurement, it is characterized in that, described prelocalization element (11) and rear setting element (12) arrange the different right cylinder of a series of diameter or spheroid respectively as annex, can change.
7. as claimed in claim 5 for the device of large-scale straight spur gear circular pitch deviation measurement, it is characterized in that, when described prelocalization element (11) and rear setting element (12) are all a right cylinder, one of them cylinder length is very short, and another right cylinder is relatively long.
CN201210421101.7A 2012-10-29 2012-10-29 Pitch variation measuring device for large-size straight toothed spur gear Expired - Fee Related CN102927887B (en)

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CN103353270B (en) * 2013-07-24 2015-10-28 东南大学 A kind of flank of tooth is from benchmark large-scale straight spur gear circular pitch deviation measurement mechanism
CN103453817A (en) * 2013-08-27 2013-12-18 镇江索达联轴器有限公司 Internal tooth opposite tooth adjustable location caliper gauge
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