CN203868283U - High-order multi-segment modified elliptic gear - Google Patents
High-order multi-segment modified elliptic gear Download PDFInfo
- Publication number
- CN203868283U CN203868283U CN201420257595.4U CN201420257595U CN203868283U CN 203868283 U CN203868283 U CN 203868283U CN 201420257595 U CN201420257595 U CN 201420257595U CN 203868283 U CN203868283 U CN 203868283U
- Authority
- CN
- China
- Prior art keywords
- gear
- pitch curve
- cycle
- curve
- section
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Withdrawn - After Issue
Links
Landscapes
- Gears, Cams (AREA)
Abstract
The utility model discloses a high-order multi-segment modified elliptic gear, wherein the curve period of a gear segment is (i) n (/i), segment curves inside each of the periods are all constituted of (i) N (/i) same segments, each of the curve segment is an outline line segment on a modified ellipse, and both the (i) n (/i) and the (i) N (/i) are positive integers; (i) n (/i) x (i) N (/i) curve segment is connected from end to end, the sum of corresponding polar angles is (img file ='dest_path_image002. TIF'wi='17' he='10'/), and curves at joints of the curve segments are tangent smoothly; the arrangement direction of gear teeth can be parallel to the axis of the gear to form a high-order multi-segment modified elliptic straight gear; and the arrangement direction of the gear teeth can also form a certain angle with the gear axis in an inclined manner to form a high-order multi-segment modified elliptic inclined gear. With the utility model, a periodical freedom-segment curve non-circular gear can be transformed into the high-order multi-segment modified elliptic gear to realize complete unification of the two types of the non-circular gears. The high-order multi-segment modified elliptic gear in the utility model comprises the catalog of segmented transformed elliptic gears, also possesses the exclusive advantage of a transmissible and periodical changed transmission ratio and can be used in a transmission mechanism with a periodical continuously-changed speed ratio.
Description
Technical field
The utility model relates to a kind of for the gear drive with variable gear ratio conveying rotary motion, and especially pitch curve is the noncircular gear of high-order multistage deformed ellipse, belongs to transmission device field.
Background technique
Noncircular gear combines the advantage of Knucle-gear and cam mechanism, can be used for the accurate transmission of stepless change ratio, also can be used for realizing the motion of accurate non-round track.Because transfer motion power is larger, be irreplaceable parts in fields such as farm machinery, light industry and machinery, metering machineries.At present, non-circular gear pitch curve has two classes: one is free shape, generally expresses with spline curve or listing curve; It two is typical shape, as elliptic gear, modified elliptical gear and high order elliptic gear.Wherein, be most widely used with the oval same clan noncircular gear of typical shape.
Chinese patent CN201220537326.4 discloses a kind of subsection deformation elliptic gear.Relatively traditional modified elliptical gear, subsection deformation elliptic gear can be
within the scope of polar angle, realize the sex change that is greater than 2 sections, can better realize the asymmetric transmission requirement of velocity ratio; Free aperiodicity pitch curve noncircular gear can be converted into subsection deformation elliptic gear, unify two class aperiodicity noncircular gears, and can realize the standardization of aperiodicity noncircular gear.Subsection deformation elliptic gear pitch curve equation as shown in the formula:
for segments;
, be section sequence number;
for
section utmost point footpath;
for
section deformation coefficient, need meet following formula.
Described subsection deformation elliptic gear can only the free pitch curve noncircular gear of matching aperiodicity, to periodically free pitch curve noncircular gear (the free pitch curve noncircular gear of high-order) is helpless.For reaching the complete unity of free shape noncircular gear and typical shape noncircular gear, and realize the standardization of noncircular gear completely, subsection deformation elliptic gear can be expanded as high-order multistage modified elliptical gear.
Model utility content
The purpose of this utility model is: the problem existing for above-mentioned prior art, the noncircular gear that a kind of pitch curve is high-order multistage deformed ellipse is proposed, with periodically free pitch curve noncircular gear of high-order multistage modified elliptical gear structure, realize the complete unity of two type gears.
High-order multistage modified elliptical gear, comprise wheel hub, the gear teeth and teeth groove, wherein the wheel week of wheel hub upper uniform the gear teeth, between adjacent teeth, be teeth groove, the arrangement position of the described gear teeth and teeth groove is definite by gear pitch curve shape, and described wheel hub is used for and other Assembly of the parts; It is characterized in that: described gear pitch curve is the cycle to be
ncyclic curve be smoothly connected successively composition; Described cyclic curve by
nsection pitch curve is smoothly connected formation successively; Described every section of pitch curve is one section of profilogram on deformed ellipse,
nwith
nfor positive integer; Described gear pitch curve equation (1) is as follows:
（1）
In formula,
afor semi-major axis;
efor eccentricity,
e∈ [0,1];
θfor polar angle,
θ∈ [0,2 π];
nfor exponent number, it is positive integer;
i=1,2,3 ...,
n, be cycle sequence number;
nfor segments in the cycle;
j=1,2,3 ...,
n, be section sequence number;
m jfor
jsection sex change coefficient;
r ijfor
icycle
jsection utmost point footpath.
The corresponding polar angle sum of described each section of pitch curve is
; Described pitch curve joint line smoothing is tangent; Described sex change coefficient
m jmeet formula (2):
（2）
In formula (2),
nfor segments in the cycle;
j=1,2,3 ...,
n, be section sequence number;
m jfor
jsection sex change coefficient.
Described high-order multistage modified elliptical gear, described gear teeth orientation can be parallel with described Gear axis, forms high-order multistage deformed ellipse spur gear.
Described high-order multistage modified elliptical gear, described gear teeth orientation can with described Gear axis inclination several angle, form high-order multistage deformed ellipse helical gear.
The beneficial effects of the utility model are: high-order multistage modified elliptical gear of the present utility model, in each cycle, pitch curve can be divided into by transmission requirement
nsection, has greatly improved transmission performance, and brings more convenient property for gear pair design; When
n=1 o'clock, described high-order multistage modified elliptical gear was high order elliptic gear; When
n=2 o'clock, described high-order multistage modified elliptical gear was High-Order Deformed Elliptic Gears; When
n=1 o'clock, described high-order multistage modified elliptical gear is described subsection deformation elliptic gear, therefore high-order multistage modified elliptical gear of the present utility model has comprised the category of described subsection deformation elliptic gear, also possesses the advantage of exclusive transmitted cyclically-varying velocity ratio.In addition, high-order multistage modified elliptical gear of the present utility model can be constructed periodically free pitch curve noncircular gear, by adjusting described parameter
,
,
,
nand
m j, the free pitch curve noncircular gear of periodicity can be converted into high-order multistage modified elliptical gear, realize the complete unity of this two classes noncircular gear of typical shape and free pitch curve.
Brief description of the drawings
Fig. 1 is the utility model high-order multistage modified elliptical gear pitch curve construction method schematic diagram.
Fig. 2 is two sections of modified elliptical gear pitch curve schematic diagram of the utility model second order.
Fig. 3 is two sections of modified elliptical gear end view of the utility model second order.
Fig. 4 is four sections, the utility model three rank modified elliptical gear pitch curve schematic diagram.
Fig. 5 is four sections, three rank of the utility model modified elliptical gear end view.
Fig. 6 is five sections, the utility model five rank modified elliptical gear pitch curve schematic diagram.
Fig. 7 is five sections, five rank of the utility model modified elliptical gear end view.
Sequence number in upper figure: wheel hub 1, the gear teeth 2, teeth groove 3, the 1st the 1st period of cycle pitch curve 11, the 1st the 2nd period of cycle pitch curve 12, the 1st the 3rd period of cycle pitch curve 13, the 1st the 4th period of cycle pitch curve 14, the 1st the 5th period of cycle pitch curve 15, the 2nd the 1st period of cycle pitch curve 21, the 2nd the 2nd period of cycle pitch curve 22, the 2nd the 3rd period of cycle pitch curve 23, the 2nd the 4th period of cycle pitch curve 24, the 2nd the 5th period of cycle pitch curve 25, the 3rd the 1st period of cycle pitch curve 31, the 3rd the 2nd period of cycle pitch curve 32, the 3rd the 3rd period of cycle pitch curve 33, the 3rd the 4th period of cycle pitch curve 34, the 3rd the 5th period of cycle pitch curve 35, the 4th the 1st period of cycle pitch curve 41, the 4th the 2nd period of cycle pitch curve 42, the 4th the 3rd period of cycle pitch curve 43, the 4th the 4th period of cycle pitch curve 44, the 4th the 5th period of cycle pitch curve 45, the 5th the 1st period of cycle pitch curve 51, the 5th the 2nd period of cycle pitch curve 52, the 5th the 3rd period of cycle pitch curve 53, the 5th the 4th period of cycle pitch curve 54, the 5th the 5th period of cycle pitch curve 55.
Embodiment
Describe preferred implementation of the present utility model in detail below in conjunction with accompanying drawing.
Referring to Fig. 1, illustrate pitch curve to be divided into the utility model gear pitch curve construction method in 2 π polar angles
nequal portions, form
nrank are pitch curve periodically; Within each cycle, pitch curve is divided into
nduan Jinhang sex change.The sex change coefficient of phase equivariance section is identical in each cycle, as the
iof cycle
jsection pitch curve
r ijpolar angle be 2 π/
nNm j, of any cycle
jsection pitch curve polar angle be also 2 π/
nNm j.
Due to sex change coefficient
m jmeet formula (2):
（2）
Therefore have in each cycle:
; Therefore,
nthe polar angle sum in individual cycle is:
, i.e. high-order multistage modified elliptical gear pitch curve sealing.
Interior every section of pitch curve of each cycle is sex change coefficient and is
m jthe deformed ellipse of (can not be integer), the
icycle
jsection pitch curve equation is formula (1);
（1）
Within each cycle, when
time:
Therefore, each section of deformed ellipse end-to-end in each cycle.
To every two adjacent periods
iwith
i-1, when
with
time,
Therefore, the deformed ellipse end-to-end of two adjacent periods.
In theory, the exponent number of described high-order multistage modified elliptical gear
ncan be infinitely great positive integer, but excessive exponent number impracticable in practice, and easily cause local compression angle excessive, cause self-locking.Generally get
nbe less than or equal to 5.
In sum, each section of pitch curve of high-order multistage modified elliptical gear is tangent continuously in joint, form end-to-end within the scope of polar angle 2 π, with 2 π/
nfor the sealing smoothed curve in cycle.By adjusting
,
, n,
and
, can in error allowed band, approach any period and be
nnoncircular gear, reaching any period noncircular gear can be by the target of high-order multistage modified elliptical gear structure.
Embodiment 1
Referring to Fig. 3, high-order multistage modified elliptical gear comprises wheel hub 1, the gear teeth 2 and teeth groove 3, wherein the wheel week of wheel hub 1 upper uniform the gear teeth 2, between adjacent teeth 2, be teeth groove 3.Referring to Fig. 2, illustrate the pitch curve of two sections of modified elliptical gears of second order, pitch curve characteristic parameter is:
e=0.1,
n=2,
n=2,
m 1=2.5,
m 2=0.6250, described pitch curve is divided into the 1st cycle the 1st section of pitch curve 11, the 1st cycle the 2nd section of pitch curve 12 and the 2nd cycle the 1st section of pitch curve 21,22 two equal portions cycles of the 2nd section of pitch curve the 2nd cycle, each cycle is divided into two sections, wherein the 1st section of pitch curve 11 was identical with the curve shape of the 2nd cycle the 1st section of pitch curve 21 the 1st cycle, and the 1st the 2nd period of cycle pitch curve 12 is identical with the curve shape of the 2nd cycle the 2nd section of pitch curve 22.Referring to accompanying drawing 3, be two sections of deformed ellipse spur gear end faces of described second order, gear parameter is:
a=150 mm, modulus m
n=5 mm, number of teeth z=59, tooth depth h=30 mm.Wherein, by relevant parameter substitution high-order multistage modified elliptical gear pitch curve equation, the equation that can obtain two sections of pitch curves in the gear pitch curve period 1 as shown in the formula:
Embodiment 2
Referring to Fig. 4, be the pitch curve of the three four sections of modified elliptical gears in rank, pitch curve characteristic parameter is:
e=0.1,
n=3,
n=4,
m 1=0.6,
m 2=1.4,
m 3=2.5,
m 4=0.8203.Described pitch curve is divided into the 1st cycle the 1st section of pitch curve 11, the 1st the 2nd period of cycle pitch curve 12, the 1st the 3rd period of cycle pitch curve 13, the 1st the 4th period of cycle pitch curve 14, the 2nd the 1st period of cycle pitch curve 21, the 2nd the 2nd period of cycle pitch curve 22, the 2nd the 3rd period of cycle pitch curve 23, the 2nd the 4th period of cycle pitch curve 24, the 3rd the 1st period of cycle pitch curve 31, the 3rd the 2nd period of cycle pitch curve 32, the 3rd the 3rd period of cycle pitch curve 33, the 3rd 34 3 equal portions cycles of pitch curve the 4th period of cycle, each cycle is divided into four sections, wherein the 1st cycle the 1st section of pitch curve 11 and the 2nd cycle the 1st section of pitch curve 21, the 3rd the 1st period of cycle pitch curve 31 curve shapes are identical, the 1st the 2nd period of cycle pitch curve 12 and the 2nd cycle the 2nd section of pitch curve 22, the curve shape of the 3rd cycle the 2nd section of pitch curve 32 is identical, by that analogy.Referring to accompanying drawing 5, be four sections, described three rank deformed ellipse spur gear end face, gear parameter is:
a=150 mm, modulus m
n=3 mm, number of teeth z=103, tooth depth h=30 mm.
Embodiment 3
Referring to Fig. 6, be the pitch curve of the five five sections of modified elliptical gears in rank, pitch curve characteristic parameter is:
e=0.04,
n=5,
n=5,
m 1=0.6,
m 2=0.5,
m 3=2.5,
m 4=1.4,
m 5=4.5652.Described pitch curve is divided into five equal portions cycles, i.e. the 1st cycle the 1st section of pitch curve 11, the 1st the 2nd period of cycle pitch curve 12, the 1st the 3rd period of cycle pitch curve 13, the 1st the 4th period of cycle pitch curve 14, the 1st the 5th period of cycle pitch curve 15, the 2nd the 1st period of cycle pitch curve 21, the 2nd the 2nd period of cycle pitch curve 22, the 2nd the 3rd period of cycle pitch curve 23, the 2nd the 4th period of cycle pitch curve 24, the 2nd the 5th period of cycle pitch curve 25, the 3rd the 1st period of cycle pitch curve 31, the 3rd the 2nd period of cycle pitch curve 32, the 3rd the 3rd period of cycle pitch curve 33, the 3rd the 4th period of cycle pitch curve 34, the 3rd the 5th period of cycle pitch curve 35, the 4th the 1st period of cycle pitch curve 41, the 4th the 2nd period of cycle pitch curve 42, the 4th the 3rd period of cycle pitch curve 43, the 4th the 4th period of cycle pitch curve 44, the 4th the 5th period of cycle pitch curve 45, the 5th the 1st period of cycle pitch curve 51, the 5th the 2nd period of cycle pitch curve 52, the 5th the 3rd period of cycle pitch curve 53, the 5th the 4th period of cycle pitch curve 54, the 5th the 5th period of cycle pitch curve 55, each cycle is divided into five sections, wherein the curve shape of the 1st section of pitch curve 21 of the 1st cycle the 1st section of pitch curve 11 and the 2nd cycle, the 3rd cycle the 1st section of pitch curve 31, the 4th cycle the 1st section of pitch curve 41, the 5th cycle the 1st section of pitch curve 51 is identical, the curve shape of the 2nd section of pitch curve 22 of the 1st the 2nd period of cycle pitch curve 12 and the 2nd cycle, the 3rd cycle the 2nd section of pitch curve 32, the 4th cycle the 2nd section of pitch curve 42, the 5th cycle the 2nd section of pitch curve 52 is identical, by that analogy.Referring to accompanying drawing 7, be five sections, described five rank deformed ellipse spur gear end face, gear parameter is:
a=150 mm, modulus m
n=2 mm, number of teeth z=103, tooth depth h=30 mm.
Above-described is only preferred implementation of the present utility model; it should be pointed out that for the person of ordinary skill of the art, do not departing under the prerequisite of the utility model creation design; can also make some distortion and improvement, these all belong to protection domain of the present utility model.
Claims (4)
1. high-order multistage modified elliptical gear, comprise wheel hub, the gear teeth and teeth groove, wherein the wheel week of wheel hub upper uniform the gear teeth, between adjacent teeth, be teeth groove, the arrangement position of the described gear teeth and teeth groove is definite by gear pitch curve shape, and described wheel hub is used for and other Assembly of the parts; It is characterized in that: described gear pitch curve is the cycle to be
ncyclic curve be smoothly connected successively composition; Described cyclic curve by
nsection pitch curve is smoothly connected formation successively; Described every section of pitch curve is one section of profilogram on deformed ellipse,
nwith
nfor positive integer; Described gear pitch curve equation (1) is as follows:
（1）
In formula (1),
afor semi-major axis;
efor eccentricity,
e∈ [0,1];
θfor polar angle,
θ∈ [0,2 π];
nfor exponent number, it is positive integer;
i=1,2,3 ...,
n, be cycle sequence number;
nfor segments in the cycle;
j=1,2,3 ...,
n, be section sequence number;
m jfor
jsection sex change coefficient;
r ijfor
icycle
jsection utmost point footpath.
2. high-order multistage modified elliptical gear according to claim 1, is characterized in that: the corresponding polar angle sum of described each section of pitch curve is
; Described pitch curve joint line smoothing is tangent; Described sex change coefficient
m jmeet following formula (2):
（2）
In formula (2),
nfor segments in the cycle;
j=1,2,3 ...,
n, be section sequence number;
m jfor
jsection sex change coefficient.
3. high-order multistage modified elliptical gear according to claim 1 and 2, is characterized in that: described gear teeth orientation can be parallel with described Gear axis, forms high-order multistage deformed ellipse spur gear.
4. high-order multistage modified elliptical gear according to claim 1 and 2, is characterized in that: described gear teeth orientation can with described Gear axis inclination several angle, form high-order multistage deformed ellipse helical gear.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201420257595.4U CN203868283U (en) | 2014-05-20 | 2014-05-20 | High-order multi-segment modified elliptic gear |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201420257595.4U CN203868283U (en) | 2014-05-20 | 2014-05-20 | High-order multi-segment modified elliptic gear |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN203868283U true CN203868283U (en) | 2014-10-08 |
Family
ID=51649238
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201420257595.4U Withdrawn - After Issue CN203868283U (en) | 2014-05-20 | 2014-05-20 | High-order multi-segment modified elliptic gear |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN203868283U (en) |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103939576A (en) * | 2014-05-20 | 2014-07-23 | 合肥工业大学 | High-order multi-section deformed elliptic gear |
| CN107630986A (en) * | 2017-09-26 | 2018-01-26 | 浙江理工大学 | The planetary gear train planting mechanism and its design method of Some Second Order Elliptic bevel gear driving |
-
2014
- 2014-05-20 CN CN201420257595.4U patent/CN203868283U/en not_active Withdrawn - After Issue
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103939576A (en) * | 2014-05-20 | 2014-07-23 | 合肥工业大学 | High-order multi-section deformed elliptic gear |
| CN103939576B (en) * | 2014-05-20 | 2016-03-23 | 合肥工业大学 | High-order multistage modified elliptical gear |
| CN107630986A (en) * | 2017-09-26 | 2018-01-26 | 浙江理工大学 | The planetary gear train planting mechanism and its design method of Some Second Order Elliptic bevel gear driving |
| CN107630986B (en) * | 2017-09-26 | 2019-06-18 | 浙江理工大学 | The design method of the planetary gear train planting mechanism of Some Second Order Elliptic bevel gear driving |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN103939576B (en) | High-order multistage modified elliptical gear | |
| US20150362056A1 (en) | Harmonic drive achieving a high meshing efficiency | |
| CN203868283U (en) | High-order multi-segment modified elliptic gear | |
| CN110879910B (en) | Closed non-circular gear pair with transmission ratio of Fourier series | |
| CN109214093B (en) | Method for repairing concave-tip point design defect of pitch curve of N-blade non-circular gear | |
| CN105138748B (en) | The design method of face gear pair | |
| CN104819267A (en) | Harmonic gear device adopting non-interference and wide range meshing tooth profile | |
| CN110657216B (en) | Mechanism for realizing cosine acceleration motion law and reverse solving method | |
| CN202833950U (en) | Segmented deformation elliptical gear | |
| CN103122971B (en) | External gear pump is secondary | |
| CN105844078B (en) | Active design method of low-pulsation gear pump | |
| CN108757438B (en) | Full-smooth screw rotor with small enclosed volume and design method thereof | |
| CN104455313A (en) | Design method of high-order modified eccentric circular gear and non-circular gear pair conjugated with high-order modified circular gear | |
| CN103122984A (en) | Conjugate gear pair based on common rack and design method thereof | |
| CN203906294U (en) | Screw assembly of screw vacuum pump | |
| CN102927240B (en) | Subsection deformation elliptic gear | |
| CN104019034A (en) | Screw rod assembly of screw rod vacuum pump | |
| CN103089963A (en) | Inner meshing tooth profile pair | |
| CN110030360B (en) | Gear reversing mechanism and design method of gear pair thereof | |
| CN108916318B (en) | Design method of variable center distance non-circular gear pair and mechanical transmission device thereof | |
| CN109058424B (en) | Design method of asymmetric transmission ratio high-order non-circular gear pair | |
| CN103089616A (en) | Internal engaged tooth profile pair | |
| CN203979325U (en) | Logarithmic spiral gear | |
| CN106949204B (en) | The design method of the non-circular toothed belt transmission of the self-compensating pleiotaxy of the amount of becoming slack | |
| CN216519469U (en) | High-order multi-section modified eccentric conjugate non-circular gear pair |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| AV01 | Patent right actively abandoned |
Granted publication date: 20141008 Effective date of abandoning: 20160323 |
|
| C25 | Abandonment of patent right or utility model to avoid double patenting |