CN109764104A - A kind of dynamic design method for stopping the drive mechanism of non circular gear than can be changed - Google Patents

A kind of dynamic design method for stopping the drive mechanism of non circular gear than can be changed Download PDF

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Publication number
CN109764104A
CN109764104A CN201910142009.9A CN201910142009A CN109764104A CN 109764104 A CN109764104 A CN 109764104A CN 201910142009 A CN201910142009 A CN 201910142009A CN 109764104 A CN109764104 A CN 109764104A
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China
Prior art keywords
teeth
driving wheel
driven wheel
angle
wheel
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CN201910142009.9A
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Chinese (zh)
Inventor
刘志强
刘广
胡林
杜荣华
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Changsha University of Science and Technology
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Changsha University of Science and Technology
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Priority to CN201910142009.9A priority Critical patent/CN109764104A/en
Publication of CN109764104A publication Critical patent/CN109764104A/en
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Abstract

Dynamic stop the design method than variable drive mechanism of non circular gear the invention discloses a kind of, comprising the following steps: S1, according to the modulus of the imagination of the driving wheel full all number of teeth and driven wheel calculates the full all numbers of teeth of imagination of driven wheel;S2, the registration that driving wheel and driven wheel are calculated according to driving wheel head tooth pressure angle and driven wheel tooth top pressure angle start to carry out step S3 if registration is greater than 1;Otherwise, the full all number of teeth values of imagination that S1 readjusts driving wheel are returned;S3, stop according to teeth section of corresponding center of circle angle each on driving wheel and with teeth section of corresponding move than determining center of circle angle value corresponding with described with teeth section adjacent active partial gear Locking arc;S4, with teeth section of number of driving wheel are equal with teeth section of number of driving wheel, and the difference of each with teeth section of number of teeth with teeth section of the number of teeth corresponding on driven wheel is 1 on driving wheel.The incomplete mechanism gear mechanism of the present invention program design is compact and design is easy.

Description

A kind of dynamic design method for stopping the drive mechanism of non circular gear than can be changed
Technical field
The present invention relates to transmission technical fields, and in particular to a kind of move stops setting than variable drive mechanism of non circular gear Meter method.
Background technique
In all kinds of mechanical transmission courses, it usually needs certain component realizations are periodically moved and rested, can be by master The mechanism that the continuous movement of moving part is converted into the regular movement of driven member and rests is referred to as intermittent motion mechanism.Common Indexing mechanism includes ratchet mechanism, Geneva mechanism and incomplete gear mechanism, wherein incomplete gear mechanism compared to ratchet, Geneva mechanism design is more flexible, and the dynamic of movement stops than easier to control, and therefore, incomplete gear mechanism is most common one kind Intermittent motion mechanism.Stop however, traditional incomplete gear mechanism is dynamic than being fixed and invariable, this make its application range by Certain limitation.To overcome this defect, many scholars, which advocate, is divided into two driving wheel or driven wheel, then by two driving wheels Or two driven wheels coaxially merge, by changing the relative position of two driving wheels or two driven wheels come so that the dynamic of mechanism stops Than variable.Although this mode realizes to move stops the variable of ratio, but design structure is complex, and organization volume is bigger than normal, uncomfortable Close the application in small space.Based on this, designs a kind of simple partial gear of structure and be of great significance.
Summary of the invention
The technical problems to be solved by the present invention are: providing a kind of compact-sized simple dynamic incomplete tooth stopped than can be changed The design method of wheel drive mechanism.
In order to solve the above-mentioned technical problem, a kind of the technical solution adopted by the present invention are as follows: dynamic incomplete tooth stopped than can be changed The design method of wheel drive mechanism, the drive mechanism of non circular gear include driving wheel and driven wheel, the design method packet Include following steps:
The determination of S1, driving wheel and driven wheel structure parameter: according to the mould of the imagination of the driving wheel full all number of teeth and driven wheel Number calculates the full all numbers of teeth of imagination of driven wheel;
The verification of S2, driving wheel and driven wheel registration: according to driving wheel head tooth pressure angle and driven wheel tooth top pressure angle The registration of driving wheel and driven wheel is calculated, if registration is greater than 1, starts to carry out step S3;Otherwise, S1 is returned to readjust The full all number of teeth values of the imagination of driving wheel carry out step S3 until registration is greater than 1 again;
The determination of S3, active partial gear Locking arc central angle: according to the with teeth section of corresponding center of circle each on driving wheel Angle and it is corresponding with described with teeth section it is dynamic stop it is more corresponding with described with teeth section adjacent active partial gear Locking arc than determination Center of circle angle value;
The design of with teeth section of S4, the driven partial gear number of teeth: with teeth section of with teeth section of number of driven wheel and driving wheel Number is equal, and the difference of each with teeth section of number of teeth with teeth section of the number of teeth corresponding on driven wheel is 1 on driving wheel.
Further, for the step S1 specifically includes the following steps: choosing the modulus m of driven wheel, the imagination of driving wheel is full All number of teeth z'1, driving wheel addendum coefficient h is calculated according to formula (1)* am, make 1-h* am→ min, to obtain driven wheel imagination Number of teeth z'2:
In formula, h* a1For standard addendum coefficient, h* a1=1;Shown in the calculation formula of δ, γ such as following formula (2):
α0For pressure angle, α0=20 °, K is driven wheel Locking arc institute across the number of teeth, and value is design variable element, the choosing of K value Surely it should meet 1-h* amThe condition of → min.The value range of K value is usually between 1~5 in design process.
Further, in the step S2, the specific calculating process of contact ratio and overlap ratio is as follows: firstly, passing through formula (3) and formula (4) driving wheel head tooth and driven wheel outside circle pressure angle α are calculated1And α2, then be updated in formula (5) and acquire registration εα:
In formula, h* a2For driven gear standard addendum coefficient, h* a2=1.
Further, in the step S3, the center of circle angle β according to corresponding to teeth section of first segment1, with teeth section of first segment First segment Locking arc is equipped between with teeth section of second segment, the center of circle angle of the first segment Locking arc isAccording to β1AndIt is full The relational expression (6) of foot can calculate
In formula, k1It is moved for first group and stops comparing.
Further, to further include that the central angle according to corresponding to i-th section with teeth section and i-th group are dynamic stop comparing the step S3, Central angle corresponding to i-th section of Locking arc can be calculated, wherein i be 2 to every turn of driving wheel any one rested between times N from So number.
Further, in the step S4, each with teeth section of number of teeth calculates every turn of driven wheel as the following formula (7) on driven wheel Resting number and driving wheel is mutually all n times, each with teeth section number of teeth of driven wheel is calculated according to formula (7):
z2=z1-1 (7)
Further, the Locking arc on the driving wheel and the Locking arc male-female engagement and radius of curvature phase on driven wheel Deng.
Further, the step S1 further includes its that driving wheel and driven wheel are determined according to the full all number of teeth of imagination, modulus His structural parameters, the other structures parameter include reference radius, radius of addendum, root radius, center away from, driving wheel Locking arc radius, angle of nip and nibble angle of departure.
Further, the reference radius, radius of addendum, root radius, center are away from, driving wheel Locking arc half Diameter, angle of nip and nibble angle of departure calculation formula it is successively as follows:
Reference radius
Radius of addendum
Root radius
Center away from
Driving wheel locking arc radius
Angle of nip
Nibble angle of departure
Wherein, The value of z' and the full all number of teeth z' of the imagination of driving wheel1Or the full all number of teeth z' of imagination of driven wheel2It is equal.
The beneficial effects of the present invention are: design method of the present invention is realized to move by the structure of cleverly design gear stops comparing It is variable, overcome traditional partial gear it is dynamic stop than can not change and more driving wheels or multi-driven gear structure is complicated, be not easy reality Existing technical problem, the present invention program is by realizing that multiple move is stopped than combining on a pair of of incomplete gear mechanism, to reach machine Structure compact overall structure designs easy purpose;Utilize the incomplete tool tooth of the partial gear composition of the method for the present invention design It is simple and compact for structure to take turns intermittently-driving transfer, process and assemble is convenient, in the full all teeth for calculating, setting two partial gears After number, the two gear engaged section numbers of teeth are reconfigured from Locking arc arc length, it can be achieved that the different dynamic intermittently-drivings for stopping ratio, multiple move is stopped Than combining on a pair of of incomplete gear mechanism, and keep entire mechanism structure compact, designs easier.
Detailed description of the invention
Fig. 1 is the design parameter schematic diagram of the drive mechanism of non circular gear of the embodiment of the present invention design;
Fig. 2 is the whole geometry scale diagrams of the drive mechanism of non circular gear of the embodiment of the present invention design.
Specific embodiment
To explain the technical content, the achieved purpose and the effect of the present invention in detail, below in conjunction with embodiment and cooperate attached Figure is explained.
The embodiment of the present invention are as follows: a kind of dynamic design method for stopping the drive mechanism of non circular gear than can be changed, such as Fig. 1 institute Show, the drive mechanism of non circular gear includes driving wheel and driven wheel, comprising the following steps:
Step 1: the full all number of teeth z' of two gears are determined1,z'2
The full all number of teeth z' of modulus m and driving wheel of driving wheel and driven wheel are chosen first1, then it is updated in following formula and finds out Driving wheel addendum coefficient h* am, make 1-h* am→ min, to obtain driven wheel imagination number of teeth z'2
In formula, h* a1For standard addendum coefficient, h* a1=1;α0For pressure angle, α0=20 °.
Shown in the calculation formula of δ, γ such as following formula (2):
,
K is driven wheel Locking arc institute across the number of teeth.
Step 2: verification contact ratio and overlap ratio εα
In order to guarantee that two gears normally engage, registration has to be larger than 1.Pass through formula (3) and formula first when calculating registration (4) the outside circle pressure angle α of driving wheel head tooth and driven wheel is calculated1And α2, then be updated in formula (5) and acquire registration εα:
In formula, h* a2For driven gear standard addendum coefficient, h* a2=1.
Step 3: the determination of active partial gear Locking arc central angle
It is required to determine that every turn of driving wheel rests with teeth section of number of teeth z of times N and first segment according to mechanism actual motion1a, it Corresponding center of circle angle is β1, z1a(center of circle angle is with next one section of Locking arc) constitute one group and move and stop comparing k1
Design is dynamic as needed stops comparing, further according to determine it is dynamic stop it is more right than Locking arc institute on configuration active partial gear The central angle answered, so that it is determined that the structure of Locking arc.
It is identical, then with teeth section of second segment of number of teeth z is set1b(center of circle angle is β2), (center of circle presss from both sides with second segment Locking arc Angle is) constitute second group and move and stop comparing k2, calculation such as formula (6).It such as if desired, can be with appropriately configured k3、k4…。
Step 4: the structure design of Locking arc in teeth section of number of teeth of driven partial gear and driven wheel:
It with driving wheel is mutually all n times that every turn of driven wheel, which rests number, each with teeth section number of teeth of driven wheel is according to formula (7) It calculates:
z2=z1-1 (7)
Locking arc on driving wheel is locking convex arc, and the Locking arc on driven wheel is locking concave arc, the locking convex arc with The radius of curvature of locking concave arc is equal.
Step 5: other parameters of two gears are determined
Reference radius
Radius of addendum
Root radius
Center away from
Driving wheel locking arc radius
Angle of nip:
Nibble angle of departure:
Specifically, it takes driving wheel and every turn of driven wheel rests times N=2, modulus m=1, the full all teeth of active partial gear Number takes 41.
Being acquired first according to formula (1) and formula (2) makes active partial gear addendum coefficient meet 1-h* am→ min from The full all number of teeth z' of driving wheel2: work as z'2When=23, h* am=0.94, meet above-mentioned requirements.
Then registration ε is verifiedα: according to formula (5), when driving wheel and driven tooth number are respectively 41 and 23, εα= 1.61 εα> 1 meets design requirement.
Configuration, which is actively moved in turn, to be stopped comparing: being required according to mechanism kinematic, the setting driving wheel first segment number of teeth is 9, corresponding circle Heart angle is 77 °, and driving wheel first dynamic to stop comparingTherefore the center of circle angle of first segment Locking arc is 55 °. The driving wheel second segment number of teeth is 10, and corresponding center of circle angle is 86 °, and the center of circle angle of second segment Locking arc is 142 °, therefore
Design driven partial gear according to step 4: available by formula (7), two sections of numbers of teeth of driven wheel are respectively 8 A and 9, it is identical that two-phase lock stops arc center of circle angle, and their radius of curvature is identical as driving wheel locking radius.
The geometric dimension of two partial gears is determined according to step 5, as shown in Figure 2: the reference radius of two-wheeled is respectively 20.5mm and 11.5mm, radius of addendum are respectively 21.5mm and 12.5mm, root radius be respectively 19.25mm and 10.25mm, center is away from for 32mm, and driving wheel locking arc radius is 19.88mm, angle of nip 0.190rad, and nibbling angle of departure is 0.238rad。
The present invention program can be used for solving the single dynamic limitation for stopping ratio of traditional incomplete gear mechanism, first according to incomplete The design method of gear determines full all numbers of teeth of driving wheel and driven wheel, reference diameter, center away from, locking arc radius, engaging-in Number, with teeth is rested further according to practical dynamic every turn for stopping configuring two partial gears than demand in angle and after nibbling the parameters such as angle of departure The parameters such as section number of teeth latch design arc center of circle angle, this method can be realized multiple move and stop than combining in a pair of of incomplete gear mechanism On, and reach mechanism compact overall structure, design easy purpose.
" with teeth section corresponding on driven wheel ", which refers to, alleged by the present invention numbers in order driving wheel and driven wheel, identical suitable The driving wheel of sequence differs 1 with teeth section of number of teeth value on driven wheel.So-called " first, second ... " of the invention is not sequence It limits, only distinguishes.
The above description is only an embodiment of the present invention, is not intended to limit the scope of the invention, all to utilize this hair Equivalents made by bright specification and accompanying drawing content are applied directly or indirectly in relevant technical field, similarly include In scope of patent protection of the invention.

Claims (8)

1. a kind of dynamic design method for stopping the drive mechanism of non circular gear than can be changed, it is characterised in that: the partial gear Transmission mechanism includes driving wheel and driven wheel, the design method the following steps are included:
The determination of S1, driving wheel and driven wheel structure parameter: according to the modulus of the imagination of the driving wheel full all number of teeth and driven wheel, meter Calculate the full all numbers of teeth of imagination of driven wheel;
The verification of S2, driving wheel and driven wheel registration: it is calculated according to driving wheel head tooth pressure angle and driven wheel tooth top pressure angle The registration of driving wheel and driven wheel starts to carry out step S3 if registration is greater than 1;Otherwise, S1 is returned to readjust actively The full all number of teeth values of the imagination of wheel carry out step S3 until registration is greater than 1 again;
The determination of S3, active partial gear Locking arc central angle: according to teeth section of corresponding center of circle angle each on driving wheel And stop with teeth section of corresponding move than determining circle corresponding with described with teeth section adjacent active partial gear Locking arc Heart angle value;
The design of with teeth section of S4, the driven partial gear number of teeth: with teeth section of number of driven wheel and with teeth section of number of driving wheel Equal, the difference of each with teeth section of number of teeth with teeth section of the number of teeth corresponding on driven wheel is 1 on driving wheel.
2. the dynamic design method for stopping the drive mechanism of non circular gear than can be changed according to claim 1, it is characterised in that: For the step S1 specifically includes the following steps: choosing the modulus m of driven wheel, the imagination of driving wheel expires all number of teeth z'1, according to formula (1) driving wheel addendum coefficient h is calculated* am, make 1-h* am→ min, to obtain driven wheel imagination number of teeth z'2:
In formula, h* a1For standard addendum coefficient, h* a1=1;Shown in the calculation formula of δ, γ such as following formula (2):
α0For pressure angle, α0=20 °, K is driven wheel Locking arc institute across the number of teeth, and value is design variable element, and the selected of K value is answered Meet 1-h* amThe condition of → min.
3. the dynamic design method for stopping the drive mechanism of non circular gear than can be changed according to claim 2, it is characterised in that: In the step S2, the specific calculating process of contact ratio and overlap ratio is as follows: firstly, calculating driving wheel head by formula (3) and formula (4) Tooth and driven wheel outside circle pressure angle α1And α2, then be updated in formula (5) and acquire registration εα:
In formula, h* a2For driven gear standard addendum coefficient, h* a2=1.
4. the dynamic design method for stopping the drive mechanism of non circular gear than can be changed according to claim 1, it is characterised in that: In the step S3, the center of circle angle β according to corresponding to teeth section of first segment1, between with teeth section of first segment and with teeth section of second segment Equipped with first segment Locking arc, the center of circle angle of the first segment Locking arc isAccording to β1AndThe relational expression (6) of satisfaction can be counted It calculates
In formula, k1It is moved for first group and stops comparing.
5. the dynamic design method for stopping the drive mechanism of non circular gear than can be changed according to claim 4, it is characterised in that: The step S3, which further includes that the central angle according to corresponding to i-th section with teeth section and i-th group are dynamic, to stop comparing, and can calculate i-th section of locking Central angle corresponding to arc, wherein i is 2 to every turn of driving wheel any one natural number to rest between times N.
6. described in any item dynamic design methods for stopping the drive mechanism of non circular gear than can be changed according to claim 1~5, Be characterized in that: the Locking arc on the driving wheel is equal with the Locking arc male-female engagement on driven wheel and radius of curvature.
7. described in any item dynamic design methods for stopping the drive mechanism of non circular gear than can be changed according to claim 1~5, Be characterized in that: the step S1 further includes the other structures ginseng that driving wheel and driven wheel are determined according to the full all numbers of teeth of imagination, modulus Number, the other structures parameter include reference radius, radius of addendum, root radius, center away from, driving wheel Locking arc half Diameter, angle of nip and nibble angle of departure.
8. the dynamic design method for stopping the drive mechanism of non circular gear than can be changed according to claim 7, it is characterised in that: The reference radius, radius of addendum, root radius, center away from, driving wheel locking arc radius, angle of nip and nibble angle of departure Calculation formula is successively as follows:
Reference radius
Radius of addendum
Root radius
Center away from
Driving wheel locking arc radius
Angle of nip
Nibble angle of departure
Wherein,Z''s Value and the full all number of teeth z' of the imagination of driving wheel1Or the full all number of teeth z' of imagination of driven wheel2It is equal, K for driven wheel Locking arc institute across The number of teeth, K are any natural number between 1~5.
CN201910142009.9A 2019-02-26 2019-02-26 A kind of dynamic design method for stopping the drive mechanism of non circular gear than can be changed Pending CN109764104A (en)

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Publication number Priority date Publication date Assignee Title
CN110274197A (en) * 2019-06-21 2019-09-24 合肥流明新能源科技有限公司 A kind of solar lawn lamp that can be used for irrigating
CN113027993A (en) * 2021-03-19 2021-06-25 长沙理工大学 Gear transmission chain layout optimization method

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JPS59187156A (en) * 1983-04-07 1984-10-24 Jukun Cho Speed change gear
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Publication number Priority date Publication date Assignee Title
CN110274197A (en) * 2019-06-21 2019-09-24 合肥流明新能源科技有限公司 A kind of solar lawn lamp that can be used for irrigating
CN113027993A (en) * 2021-03-19 2021-06-25 长沙理工大学 Gear transmission chain layout optimization method

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