CN108763799A - Spline reliability degree calculation method, device and electronic equipment - Google Patents
Spline reliability degree calculation method, device and electronic equipment Download PDFInfo
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Abstract
The present invention provides a kind of spline reliability degree calculation method, device and electronic equipments, it is related to technical field of mechanical design, this method has fully taken into account influence of the backlash inhomogeneities to spline bearing capacity, maximum nominal tangential force on engaging tooth logarithm and key teeth by calculating the lower spline of certain torsional load effect, maximum tooth face pressure stress in the key teeth of spline is obtained, and then obtains the reliability of the lower spline of random torsional load effect.Due to calculating spline tooth face pressure stress independent of empirical coefficient, reliability calculating result is more true；It is necessarily destroyed at first since spline carries maximum key teeth, calculates spline reliability according to the relationship of maximum tooth face pressure stress and key teeth intensity so that result of calculation is more reasonable, to improve the accuracy of reliability calculating result.
Description
Technical field
The present invention relates to technical field of mechanical design, more particularly, to a kind of spline reliability degree calculation method, device and electricity
Sub- equipment.
Background technology
Key teeth is on cylinder (or circular cone) face and tooth form is known as involute spline for the spline of involute.Involute spline has
There is the features such as bearing capacity is high, good to neutrality, in the fields such as automobile, aviation and space flight extensive application.
For the reliable problem of spline is calculated, a kind of utilization wear extent-working life distributed data is proposed in the prior art
Come predict spline reliability method, it is also proposed that it is a kind of according to spline tooth face pressure Stress calculation formula, by tooth on spline tooth
Face pressure stress is considered as the method that spline reliability is sought in normal distribution with key teeth intensity.However use above-mentioned several analysis splines reliable
The result that the method for degree obtains has differences with truth.
Invention content
In view of this, the purpose of the present invention is to provide a kind of spline reliability degree calculation method, device and electronic equipment, with
Improve the accuracy of reliability calculating result.
In a first aspect, an embodiment of the present invention provides a kind of spline reliability degree calculation methods, gradually opened applied to cylindrical straight gear
Line spline, the method includes：
It is rigid to obtain the torsional load applied in the key teeth of the spline, each backlash of the spline and single pair key teeth
Degree；
According to the torsional load, each backlash and the single pair key teeth rigidity, nibbling for the spline is determined
Close tooth logarithm；
According to the torsional load, each backlash, the single pair key teeth rigidity and the engaging tooth logarithm, meter
Calculation obtains maximum name tangential force in the key teeth of the spline；
According to the maximum nominal tangential force, maximum tooth face pressure stress in the key teeth of the spline is calculated；
According to the maximum tooth face pressure stress, the reliability of the spline under random torsional load effect is calculated.
With reference to first aspect, an embodiment of the present invention provides the first possible embodiments of first aspect, wherein institute
It includes internal spline and external splines to state spline；When load position is located at reference circle in the key teeth of the spline, described in acquisition
The single pair key teeth rigidity of spline, including：
The stiffness parameters of the stiffness parameters and the external splines of the internal spline are obtained, the stiffness parameters include standard pressure
Power angle, the distance of load position to tooth root, the facewidth, transverse tooth thickness and spline material elasticity modulus, modulus of shearing and Poisson
Than；
According to the stiffness parameters, the singly-bound for calculating separately the singly-bound rigidity for obtaining the internal spline and the external splines is rigid
Degree；
According to the singly-bound rigidity of the singly-bound rigidity of the internal spline and the external splines, the single pair of the spline is calculated
Key teeth rigidity.
With reference to first aspect, an embodiment of the present invention provides second of possible embodiments of first aspect, wherein institute
It states according to the torsional load, each backlash and the single pair key teeth rigidity, determines the rodent population of the spline
Number, including：
According to the torsional load, the sum of nominal tangential force is calculated in the key teeth of the spline；
Using J=1 as the key teeth logarithm for participating in engagement in the spline；
According to each backlash and the single pair key teeth rigidity, calculates J+1 and key teeth has just been contacted but has not yet been held
Elastic forces the sum of of the J to key teeth before when load；
Judge whether the sum of described elastic force being calculated is more than the sum of described nominal tangential force；
If the sum of described elastic force is less than or equal to the sum of described nominal tangential force, J=J+1 is enabled, and judge J at this time
It is whether equal with the number of teeth n of the spline；
If unequal, continue to execute described according to each backlash and the single pair key teeth rigidity, calculating J
The just contact of+1 pair of key teeth but when not yet carrying before J to the sum of the elastic force of key teeth the step of；If equal, the engagement of the spline
Tooth logarithm is J=n；
If the sum of described elastic force is more than the sum of described nominal tangential force, the engaging tooth logarithm of the spline is J.
Second of possible embodiment with reference to first aspect, an embodiment of the present invention provides the third of first aspect
Possible embodiment, wherein described according to the torsion when load position is located at reference circle in the key teeth of the spline
Lotus is reprinted, the sum of nominal tangential force is calculated in the key teeth of the spline, including：
It is calculated by the following formula to obtain in the key teeth of the spline the sum of nominal tangential force F：
Wherein, M indicates that the torsional load, D indicate the reference diameter of the spline.
The third possible embodiment with reference to first aspect, an embodiment of the present invention provides the 4th kind of first aspect
Possible embodiment, wherein after each backlash for obtaining the spline, the method further includes：
By n, the backlash is ascending is ordered as a(1),a(2),…,a(n), and sequentially by corresponding each pair of key teeth
Number is 1,2 ..., n；
It is described according to each backlash and the single pair key teeth rigidity, calculate J+1 and key teeth just contacted but still
J is to the sum of the elastic force of key teeth before when not carrying, including：
J is to the sum of the elastic force of key teeth F before being calculated by the following formula when J+1 just contacts key teeth but not yet carriest：
Ft=K (a(J+1)-a(1))+K(a(J+1)-a(2))+…+K(a(J+1)-a(J)),
Wherein, K indicates the single pair key teeth rigidity, a(J+1)Indicate the corresponding backlash of a pair of of key teeth that number is J+1.
The 4th kind of possible embodiment with reference to first aspect, an embodiment of the present invention provides the 5th kind of first aspect
Possible embodiment, wherein it is described according to the torsional load, each backlash, the single pair key teeth rigidity and
Maximum name tangential force is calculated in the key teeth of the spline in the engaging tooth logarithm, including：
Maximum name tangential force F is calculated by the following formula in the key teeth of the splinemax：
Wherein, J indicates that the engaging tooth logarithm, E (a) indicate to participate in backlash average values of the J to key teeth of carrying：
With reference to first aspect, an embodiment of the present invention provides the 6th kind of possible embodiments of first aspect, wherein when
It is described according to the maximum nominal tangential force when load position is located at reference circle in the key teeth of the spline, it is calculated
Maximum tooth face pressure stress in the key teeth of the spline, including：
It is calculated by the following formula maximum tooth face pressure stress S in the key teeth of the spline：
Wherein, FmaxIndicate that the maximum nominal tangential force, hw indicate that the wokring depth of tooth of the spline, L indicate the spline
Combination length, αDIndicate the normal pressure angle of the spline.
With reference to first aspect, an embodiment of the present invention provides the 7th kind of possible embodiments of first aspect, wherein institute
The reliability that the spline under random torsional load effect is calculated according to the maximum tooth face pressure stress is stated, including：
Obtain the probability density function of the probability density function of random torsional load and the Gear Surface Strength of the spline；
According to the probability density function of the random torsional load, the probability density letter of the maximum tooth face pressure stress is determined
Number；
Based on Stress-Strength Interference Model, answered according to the probability density function of the Gear Surface Strength, the maximum tooth face pressure
The probability density function of power and the maximum tooth face pressure stress, obtain the spline under the random torsional load effect can
By degree.
Second aspect, the embodiment of the present invention also provide a kind of spline reliability calculating device, are gradually opened applied to cylindrical straight gear
Line spline, described device include：
Data acquisition module, each tooth of the torsional load, the spline that apply in the key teeth for obtaining the spline
Side clearance and single pair key teeth rigidity；
Logarithm determining module is used for according to the torsional load, each backlash and the single pair key teeth rigidity,
Determine the engaging tooth logarithm of the spline；
Tangential force computing module, for according to the torsional load, each backlash, the single pair key teeth rigidity
With the engaging tooth logarithm, maximum name tangential force is calculated in the key teeth of the spline；
Compression computing module, for according to the maximum nominal tangential force, being calculated in the key teeth of the spline most
Canine tooth face pressure stress；
Reliability calculating module, for according to the maximum tooth face pressure stress, being calculated under random torsional load effect
The reliability of the spline.
The third aspect, the embodiment of the present invention also provide a kind of electronic equipment, including memory, processor, the memory
In be stored with the computer program that can be run on the processor, the processor is realized when executing the computer program
State the method described in first aspect or its any possible embodiment.
The embodiment of the present invention brings following advantageous effect：
Spline reliability degree calculation method provided in an embodiment of the present invention has fully taken into account backlash inhomogeneities to flower
The influence of key bearing capacity is cut by maximum name on the engaging tooth logarithm and key teeth of the certain lower spline of torsional load effect of calculating
Xiang Li obtains maximum tooth face pressure stress in the key teeth of spline, and then obtains the reliability of the lower spline of random torsional load effect.By
In calculating spline tooth face pressure stress independent of empirical coefficient, therefore reliability calculating result is more true；Since spline carries
Maximum key teeth is necessarily destroyed at first, therefore calculates spline reliability according to the relationship of maximum tooth face pressure stress and key teeth intensity,
So that result of calculation is more reasonable, to improve the accuracy of reliability calculating result.
Other features and advantages of the present invention will illustrate in the following description, also, partly become from specification
It obtains it is clear that understand through the implementation of the invention.The purpose of the present invention and other advantages are in specification and attached drawing
Specifically noted structure is realized and is obtained.
To enable the above objects, features and advantages of the present invention to be clearer and more comprehensible, preferred embodiment cited below particularly, and coordinate
Appended attached drawing, is described in detail below.
Description of the drawings
It, below will be to specific in order to illustrate more clearly of the specific embodiment of the invention or technical solution in the prior art
Embodiment or attached drawing needed to be used in the description of the prior art are briefly described, it should be apparent that, in being described below
Attached drawing is some embodiments of the present invention, for those of ordinary skill in the art, before not making the creative labor
It puts, other drawings may also be obtained based on these drawings.
Fig. 1 is a kind of flow diagram of spline reliability degree calculation method provided in an embodiment of the present invention；
Fig. 2 is a kind of structural schematic diagram of cylindrical straight gear involute spline provided in an embodiment of the present invention；
Fig. 3 is a kind of flow diagram of the engaging tooth logarithm of determining spline provided in an embodiment of the present invention；
Fig. 4 is a kind of structural schematic diagram of spline reliability calculating device provided in an embodiment of the present invention；
Fig. 5 is the structural schematic diagram of a kind of electronic equipment provided in an embodiment of the present invention.
Specific implementation mode
In order to make the object, technical scheme and advantages of the embodiment of the invention clearer, below in conjunction with attached drawing to the present invention
Technical solution be clearly and completely described, it is clear that described embodiments are some of the embodiments of the present invention, rather than
Whole embodiments.Based on the embodiments of the present invention, those of ordinary skill in the art are not making creative work premise
Lower obtained every other embodiment, shall fall within the protection scope of the present invention.
When spline is in static connection state, the main failure forms of spline key teeth are crushed for working surface.Due to processing
The reasons such as error cause the backlash of spline pair different, and load distribution is uneven between will appear each key teeth in carrying
The phenomenon that.Load is smaller in the larger key teeth of sideshake or does not have load, and load is then larger in the smaller key teeth of sideshake, thus
Smaller side gap key teeth will fail first.Therefore, when analyzing spline reliability, the inhomogeneities of spline sideshake is
Very important key factor.Influence of the spline sideshake inhomogeneities to spline reliability is analyzed, key is to judge that spline is nibbled
It closes tooth logarithm and calculates the load distributed in each key teeth.However it is existing it is several analysis spline reliability method not from
Magnitude of load in quantitative analysis key teeth, has differences with truth in terms of spline backlash inhomogeneities.Based on this, this hair
A kind of spline reliability degree calculation method, device and the electronic equipment that bright embodiment provides have fully taken into account backlash unevenness
Influence of the even property to spline bearing capacity can truly calculate name in the lower spline engagement tooth logarithm of torsional load effect and key teeth
Adopted tangential force size, can reasonably obtain the reliability of the lower spline of random torsional load effect, therefore can improve reliability
The accuracy of result of calculation.
For ease of understanding the present embodiment, first to a kind of spline reliability calculating disclosed in the embodiment of the present invention
Method describes in detail.
Embodiment one：
Fig. 1 is a kind of flow diagram of spline reliability degree calculation method provided in an embodiment of the present invention, and this method is main
Applied to cylindrical straight gear involute spline.As shown in Figure 1, this method includes following steps：
Step S101 obtains each backlash and single pair key teeth of the torsional load, spline that apply in the key teeth of spline
Rigidity.
Fig. 2 is a kind of structural schematic diagram of cylindrical straight gear involute spline provided in an embodiment of the present invention, as shown in Fig. 2,
The cylindrical straight gear involute spline includes internal spline and external splines.For cylindrical straight gear involute spline, (outer) spline in acquisition
Key teeth on certain torsional load for applying, be denoted as M.To the cylindrical straight gear involute spline containing n to key teeth, can with but it is unlimited
In measuring each backlash of spline using secondary element image measuring instrument, it is denoted as a1,a2,…,an, its ascending is ordered as
a(1),a(2),…,a(n), it is sequentially 1,2 by corresponding each pair of key teeth number ..., n.As shown in Fig. 2, the spline contains 12 pairs of keys
Tooth, each backlash measured are respectively：a1,a2,…,a12。
Prior art acquisition may be used in the single pair key teeth rigidity of spline.In some possible embodiments, when spline
When load position is located at reference circle in key teeth, the single pair key teeth rigidity of spline can be obtained in the following manner：In acquisition
The stiffness parameters of spline and the stiffness parameters of external splines, the stiffness parameters include normal pressure angle, load position to tooth root
Elasticity modulus, modulus of shearing and the Poisson's ratio of distance, the facewidth, transverse tooth thickness and spline material；According to the stiffness parameters, count respectively
Calculation obtains the singly-bound rigidity of internal spline and the singly-bound rigidity of external splines；Singly-bound according to the singly-bound rigidity of internal spline and external splines is rigid
Degree, is calculated the single pair key teeth rigidity of the spline.
Specifically, very little is differed with ideal spline transverse tooth thickness due to practical spline transverse tooth thickness, therefore does not consider backlash to key teeth
The influence that rigidity generates.Inside and outside spline teeth is variant, distance, the facewidth, tooth of the inside and outside spline in load position to tooth root
The stiffness parameters value of thick aspect differs.Periodical may be used《Mechanical Engineering Science》2013
Phase " the Loaddistribution in spline coupling teeth with parallel offset of volume 227 the 10th
The calculating spline key teeth stiffness method proposed in misalignment ", inside and outside spline is calculated separately according to corresponding stiffness parameters
Singly-bound stiffness K1、K2.The key teeth of matched inside and outside spline is equivalent to two concatenated spring systems, then a pair of matched is closed
Key teeth rigidity (single pair key teeth rigidity) K of inside and outside spline be：
Step S102 determines the engagement of the spline according to above-mentioned torsional load, each backlash and single pair key teeth rigidity
Tooth logarithm.
Fig. 3 is a kind of flow diagram of the engaging tooth logarithm of determining spline provided in an embodiment of the present invention, such as Fig. 3 institutes
Show, the engaging tooth logarithm of spline is determined by following steps：
The sum of nominal tangential force is calculated in the key teeth of spline according to above-mentioned torsional load in step S301.
When load position is located at reference circle in the key teeth of spline, it is calculated by the following formula to obtain the key of the spline
The sum of nominal tangential force F on tooth：
Wherein, M indicates that torsional load, D indicate the reference diameter of spline.
Step S302, using J=1 as the key teeth logarithm for participating in engagement in spline.
Step S303 calculates J+1 and has just been contacted to key teeth but still according to each backlash and above-mentioned single pair key teeth rigidity
Elastic forces the sum of of the J to key teeth before when not carrying.
In conjunction with single pair key teeth stiffness K, when the key teeth deformation quantity that a pair of matched is closed is δ, this is generated key teeth by deformation
Elastic force is：
FBullet=K δ (2)
In conjunction with the value of above-mentioned backlash, when J+1 just contacts key teeth but not yet carries, i-th (i=1,2 ..., J)
Deformation quantity to key teeth is a(J+1)-a(i), in conjunction with formula (2), when J+1 just contacts key teeth but not yet carries, preceding J is to key
The sum of elastic force of tooth FtFor：
Ft=K (a(J+1)-a(1))+K(a(J+1)-a(2))+…+K(a(J+1)-a(J))(3)
Wherein, K indicates single pair key teeth rigidity, a(J+1)Indicate the corresponding backlash of a pair of of key teeth that number is J+1.
Step S304, judges whether the sum of elastic force being calculated is more than the sum of nominal tangential force.
Judge FtWhether F is more than, if so, executing step S305；If not, executing step S306.
Step S305, the engaging tooth logarithm for exporting spline are J.
Step S306, enables J=J+1.
Step S307 judges whether J is equal with the number of teeth n of spline at this time.
If equal, S308 is thened follow the steps；If unequal, return to step S303 continues to calculate.
Step S308, the engaging tooth logarithm for exporting spline are J=n.
So through the above steps S301 to S308 has determined that the engaging tooth logarithm of spline.
Step S103 is calculated according to above-mentioned torsional load, each backlash, single pair key teeth rigidity and engaging tooth logarithm
Obtain maximum name tangential force in the key teeth of spline.
Maximum name tangential force F is calculated by the following formula in the key teeth of splinemax：
Wherein, J indicates that engaging tooth logarithm, E (a) indicate to participate in backlash average values of the J to key teeth of carrying：
Above-mentioned formula (4) is derived by by following procedure：
In conjunction with engaging tooth logarithm J and torsional load M, remembers that all common deformation quantities for participating in engagement key teeth are b, then have
It can obtain：
Because the key teeth flexible deformation of sideshake minimum is maximum, the nominal tangential force of distribution is also maximum.Therefore, in conjunction with formula
(6) it can obtain under torsional load M effects, maximum name tangential force is in key teeth：
Maximum tooth face pressure stress in the key teeth of spline is calculated according to above-mentioned maximum nominal tangential force in step S104.
Specifically, the computational methods about spline bearing capacity in GB/T 17855-1999 are referred to, spline key is calculated
Maximum tooth face pressure stress on tooth.When load position is located at reference circle in the key teeth of spline, it is calculated by the following formula flower
Maximum tooth face pressure stress S in the key teeth of key：
Wherein, FmaxIndicate maximum nominal tangential force, hwIndicate that the wokring depth of tooth of spline, L indicate the combination length of spline, αD
Indicate the normal pressure angle of spline.
The reliable of the lower spline of random torsional load effect is calculated according to above-mentioned maximum tooth face pressure stress in step S105
Degree.
When torsional load acts on, due to the inhomogeneities of each backlash of spline, lead in each key teeth magnitude of load not
One, the maximum key teeth of stand under load necessarily first fails.Therefore, when calculating spline reliability, it is analysis object to take the maximum key teeth of stand under load.
In some possible embodiments, step S105 is realized by following procedure：Obtain the probability of random torsional load
The probability density function of the Gear Surface Strength of density function and spline；According to the probability density function of random torsional load, determine most
The probability density function of canine tooth face pressure stress；Based on Stress-Strength Interference Model, according to the probability density function of Gear Surface Strength,
The probability density function of maximum tooth face pressure stress and maximum tooth face pressure stress, obtain the lower spline of random torsional load effect can
By degree.
Specifically, when torsional load M and spline Gear Surface Strength R is that (torsional load is referred to as turning round at random stochastic variable at this time
Reprint lotus) when, probability density function is denoted as f respectivelyM(m) and fR(r), then formula (7), root f are combinedM(m) it can acquire in key teeth most
The probability density function of canine tooth face pressure stress S is fS(s), finally according to Stress-Strength Interference Model, obtaining spline reliability is：
In order to make it easy to understand, to the probability density function according to random torsional load, the general of maximum tooth face pressure stress is determined
Rate density function is exemplified below：If torsional load M Normal Distributions, i.e. M~N (a, b), utilize under the probability density
MATLAB extracts 100000 random numbers and represents torsional load, and bringing the torsional load of extraction into formula (7) can be obtained one group
Spline maximum tooth face pressure stress value, by assuming that the method for inspection judges the same Normal Distribution of this group of stress value, and acquires this
The mean value and variance of group stress value, and then f can be obtainedS(s) expression.
Spline reliability degree calculation method provided in an embodiment of the present invention has fully taken into account backlash inhomogeneities to flower
The influence of key bearing capacity is cut by maximum name on the engaging tooth logarithm and key teeth of the certain lower spline of torsional load effect of calculating
Xiang Li obtains maximum tooth face pressure stress in the key teeth of spline, and then obtains the reliability of the lower spline of random torsional load effect.By
In calculating spline tooth face pressure stress independent of empirical coefficient, therefore reliability calculating result is more true；Since spline carries
Maximum key teeth is necessarily destroyed at first, therefore calculates spline reliability according to the relationship of maximum tooth face pressure stress and key teeth intensity,
So that result of calculation is more reasonable, to improve the accuracy of reliability calculating result.In addition, the embodiment of the present invention is from mechanics
Relational angle has been computed correctly spline engagement tooth logarithm, and in addition to the sum of elastic force that need to iterate to calculate spline tooth, whole process does not have
There are other operational formulas changed with iterative process, calculating process more simple.
Embodiment two：
Fig. 4 is a kind of structural schematic diagram of spline reliability calculating device provided in an embodiment of the present invention, the device application
In cylindrical straight gear involute spline, as shown in figure 4, the device includes：
Data acquisition module 41, each backlash of the torsional load, spline that apply in the key teeth for obtaining spline
With single pair key teeth rigidity；
Logarithm determining module 42, for according to torsional load, each backlash and single pair key teeth rigidity, determining spline
Engaging tooth logarithm；
Tangential force computing module 43, for according to torsional load, each backlash, single pair key teeth rigidity and rodent population
Maximum name tangential force is calculated in the key teeth of spline in number；
Compression computing module 44, for according to maximum nominal tangential force, the maximum flank of tooth to be calculated in the key teeth of spline
Compression；
Reliability calculating module 45, for according to maximum tooth face pressure stress, the lower flower of random torsional load effect to be calculated
The reliability of key.
Spline includes internal spline and external splines；When load position is located at reference circle in the key teeth of spline, above-mentioned number
It is specifically used for according to acquisition module 41：The stiffness parameters of the stiffness parameters and external splines of internal spline are obtained, stiffness parameters include standard
Elasticity modulus, modulus of shearing and the Poisson of pressure angle, the distance of load position to tooth root, the facewidth, transverse tooth thickness and spline material
Than；According to the stiffness parameters, the singly-bound rigidity for obtaining internal spline and the singly-bound rigidity of external splines are calculated separately；According to internal spline
The single pair key teeth rigidity of spline is calculated in the singly-bound rigidity of singly-bound rigidity and external splines.
Above-mentioned logarithm determining module 42 is specifically used for：According to torsional load, it is tangential that name in the key teeth of spline is calculated
The sum of power；Using J=1 as the key teeth logarithm for participating in engagement in spline；According to each backlash and single pair key teeth rigidity, calculate
Elastic forces the sum of of the J to key teeth before when J+1 just contacts key teeth but not yet carries；Judging the sum of the elastic force being calculated is
It is no to be more than the sum of nominal tangential force；If the sum of elastic force is less than or equal to the sum of nominal tangential force, J=J+1 is enabled, and judge
Whether J is equal with the number of teeth n of spline at this time；If unequal, continue to execute according to each backlash and single pair key teeth rigidity,
The step of J is to the sum of the elastic force of key teeth before calculating when J+1 just contacts key teeth but not yet carries；If equal, spline
Engaging tooth logarithm is J=n；If the sum of elastic force is more than the sum of nominal tangential force, the engaging tooth logarithm of spline is J.
When load position is located at reference circle in the key teeth of spline, above-mentioned tangential force computing module 43 is specifically used for：
Maximum name tangential force F is calculated by the following formula in the key teeth of splinemax：
Wherein, J indicates that engaging tooth logarithm, E (a) indicate to participate in backlash average values of the J to key teeth of carrying：
When load position is located at reference circle in the key teeth of spline, above-mentioned compression computing module 44 is specifically used for：
It is calculated by the following formula maximum tooth face pressure stress S in the key teeth of spline：
Wherein, FmaxIndicate maximum nominal tangential force, hwIndicate that the wokring depth of tooth of spline, L indicate the combination length of spline, αD
Indicate the normal pressure angle of spline.
Above-mentioned reliability calculating module 45 is specifically used for：Obtain the probability density function of random torsional load and the tooth of spline
The probability density function of surface intensity；According to the probability density function of random torsional load, the probability of maximum tooth face pressure stress is determined
Density function；Based on Stress-Strength Interference Model, according to the probability density function of Gear Surface Strength, maximum tooth face pressure stress and
The probability density function of maximum tooth face pressure stress obtains the reliability of the lower spline of random torsional load effect.
Embodiment three：
Referring to Fig. 5, the embodiment of the present invention also provides a kind of electronic equipment 100, including：Processor 50, memory 51, bus
52 and communication interface 53, the processor 50, communication interface 53 and memory 51 connected by bus 52；Processor 50 is for holding
The executable module stored in line storage 51, such as computer program.
Wherein, memory 51 may include high-speed random access memory (RAM, RandomAccessMemory), also may be used
Can further include nonvolatile memory (non-volatile memory), for example, at least a magnetic disk storage.Pass through at least one
A communication interface 53 (can be wired or wireless) realizes the communication link between the system network element and at least one other network element
It connects, internet, wide area network, local network, Metropolitan Area Network (MAN) etc. can be used.
Bus 52 can be isa bus, pci bus or eisa bus etc..The bus can be divided into address bus, data
Bus, controlling bus etc..Only indicated with a four-headed arrow for ease of indicating, in Fig. 5, it is not intended that an only bus or
A type of bus.
Wherein, memory 51 is for storing program, and the processor 50 executes the journey after receiving and executing instruction
Sequence, the method performed by device that the stream process that aforementioned any embodiment of the embodiment of the present invention discloses defines can be applied to handle
In device 50, or realized by processor 50.
Processor 50 may be a kind of IC chip, the processing capacity with signal.During realization, above-mentioned side
Each step of method can be completed by the integrated logic circuit of the hardware in processor 50 or the instruction of software form.Above-mentioned
Processor 50 can be general processor, including central processing unit (Central Processing Unit, abbreviation CPU), network
Processor (Network Processor, abbreviation NP) etc.；It can also be digital signal processor (Digital Signal
Processing, abbreviation DSP), application-specific integrated circuit (Application Specific Integrated Circuit, referred to as
ASIC), ready-made programmable gate array (Field-Programmable Gate Array, abbreviation FPGA) or other are programmable
Logical device, discrete gate or transistor logic, discrete hardware components.It may be implemented or execute in the embodiment of the present invention
Disclosed each method, step and logic diagram.General processor can be microprocessor or the processor can also be to appoint
What conventional processor etc..The step of method in conjunction with disclosed in the embodiment of the present invention, can be embodied directly in hardware decoding processing
Device executes completion, or in decoding processor hardware and software module combination execute completion.Software module can be located at
Machine memory, flash memory, read-only memory, programmable read only memory or electrically erasable programmable memory, register etc. are originally
In the storage medium of field maturation.The storage medium is located at memory 51, and processor 50 reads the information in memory 51, in conjunction with
Its hardware completes the step of above method.
Spline reliability calculating device and electronic equipment provided in an embodiment of the present invention, the spline provided with above-described embodiment
Reliability degree calculation method technical characteristic having the same reaches identical technology effect so can also solve identical technical problem
Fruit.
It is apparent to those skilled in the art that for convenience and simplicity of description, the device of foregoing description
And the specific work process of electronic equipment, it can refer to corresponding processes in the foregoing method embodiment, details are not described herein.
In all examples being illustrated and described herein, any occurrence should be construed as merely illustrative, without
It is as limitation, therefore, other examples of exemplary embodiment can have different values.
Flow chart and block diagram in attached drawing show the system, method and computer journey of multiple embodiments according to the present invention
The architecture, function and operation in the cards of sequence product.In this regard, each box in flowchart or block diagram can generation
A part for a part for one module, section or code of table, the module, section or code includes one or more uses
The executable instruction of the logic function as defined in realization.It should also be noted that in some implementations as replacements, being marked in box
The function of note can also occur in a different order than that indicated in the drawings.For example, two continuous boxes can essentially base
Originally it is performed in parallel, they can also be executed in the opposite order sometimes, this is depended on the functions involved.It is also noted that
It is the combination of each box in block diagram and or flow chart and the box in block diagram and or flow chart, can uses and execute rule
The dedicated hardware based system of fixed function or action is realized, or can use the group of specialized hardware and computer instruction
It closes to realize.
The computer program product for the progress spline reliability degree calculation method that the embodiment of the present invention is provided, including store
The computer readable storage medium of the executable non-volatile program code of processor, the instruction that said program code includes are available
In the method described in previous methods embodiment that executes, specific implementation can be found in embodiment of the method, and details are not described herein.
In several embodiments provided herein, it should be understood that disclosed device and method can pass through it
Its mode is realized.The apparatus embodiments described above are merely exemplary, for example, the division of the unit, only
A kind of division of logic function, formula that in actual implementation, there may be another division manner, in another example, multiple units or component can combine
Or it is desirably integrated into another system, or some features can be ignored or not executed.Another point, shown or discussed phase
Coupling, direct-coupling or communication connection between mutually can be by some communication interfaces, the INDIRECT COUPLING of device or unit or
Communication connection can be electrical, machinery or other forms.
The unit illustrated as separating component may or may not be physically separated, aobvious as unit
The component shown may or may not be physical unit, you can be located at a place, or may be distributed over multiple
In network element.Some or all of unit therein can be selected according to the actual needs to realize the mesh of this embodiment scheme
's.
In addition, each functional unit in each embodiment of the present invention can be integrated in a processing unit, it can also
It is that each unit physically exists alone, it can also be during two or more units be integrated in one unit.
It, can be with if the function is realized in the form of SFU software functional unit and when sold or used as an independent product
It is stored in the executable non-volatile computer read/write memory medium of a processor.Based on this understanding, of the invention
Technical solution substantially the part of the part that contributes to existing technology or the technical solution can be with software in other words
The form of product embodies, which is stored in a storage medium, including some instructions use so that
One computer equipment (can be personal computer, server or the network equipment etc.) executes each embodiment institute of the present invention
State all or part of step of method.And storage medium above-mentioned includes：USB flash disk, mobile hard disk, read-only memory (ROM, Read-
Only Memory), random access memory (RAM, Random Access Memory), magnetic disc or CD etc. are various can be with
Store the medium of program code.
Finally it should be noted that：Embodiment described above, only specific implementation mode of the invention, to illustrate the present invention
Technical solution, rather than its limitations, scope of protection of the present invention is not limited thereto, although with reference to the foregoing embodiments to this hair
It is bright to be described in detail, it will be understood by those of ordinary skill in the art that：Any one skilled in the art
In the technical scope disclosed by the present invention, it can still modify to the technical solution recorded in previous embodiment or can be light
It is readily conceivable that variation or equivalent replacement of some of the technical features；And these modifications, variation or replacement, do not make
The essence of corresponding technical solution is detached from the spirit and scope of technical solution of the embodiment of the present invention, should all cover the protection in the present invention
Within the scope of.Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims.
Claims (10)
1. a kind of spline reliability degree calculation method, which is characterized in that be applied to cylindrical straight gear involute spline, the method packet
It includes：
Obtain the torsional load applied in the key teeth of the spline, each backlash of the spline and single pair key teeth rigidity；
According to the torsional load, each backlash and the single pair key teeth rigidity, the engaging tooth of the spline is determined
Logarithm；
According to the torsional load, each backlash, the single pair key teeth rigidity and the engaging tooth logarithm, calculate
Maximum name tangential force on to the key teeth of the spline；
According to the maximum nominal tangential force, maximum tooth face pressure stress in the key teeth of the spline is calculated；
According to the maximum tooth face pressure stress, the reliability of the spline under random torsional load effect is calculated.
2. according to the method described in claim 1, it is characterized in that, the spline includes internal spline and external splines；When the flower
When load position is located at reference circle in the key teeth of key, the single pair key teeth rigidity of the spline is obtained, including：
The stiffness parameters of the stiffness parameters and the external splines of the internal spline are obtained, the stiffness parameters include normal pressure
Angle, the distance of load position to tooth root, the facewidth, transverse tooth thickness and spline material elasticity modulus, modulus of shearing and Poisson's ratio；
According to the stiffness parameters, the singly-bound rigidity for obtaining the internal spline and the singly-bound rigidity of the external splines are calculated separately；
According to the singly-bound rigidity of the singly-bound rigidity of the internal spline and the external splines, the single pair key teeth of the spline is calculated
Rigidity.
3. according to the method described in claim 1, it is characterized in that, described according between the torsional load, each flank
Gap and the single pair key teeth rigidity determine the engaging tooth logarithm of the spline, including：
According to the torsional load, the sum of nominal tangential force is calculated in the key teeth of the spline；
Using J=1 as the key teeth logarithm for participating in engagement in the spline；
According to each backlash and the single pair key teeth rigidity, when calculating J+1 just contacts key teeth but not yet carries
Elastic forces the sum of of the preceding J to key teeth；
Judge whether the sum of described elastic force being calculated is more than the sum of described nominal tangential force；
If the sum of described elastic force is less than or equal to the sum of described nominal tangential force, enable J=J+1, and judge at this time J whether
It is equal with the number of teeth n of the spline；
If unequal, continue to execute described according to each backlash and the single pair key teeth rigidity, the J+1 pairs of calculating
Key teeth just contact but when not yet carrying before J to the sum of the elastic force of key teeth the step of；If equal, the rodent population of the spline
Number is J=n；
If the sum of described elastic force is more than the sum of described nominal tangential force, the engaging tooth logarithm of the spline is J.
4. according to the method described in claim 3, it is characterized in that, working as load position in the key teeth of the spline is located at indexing
It is described according to the torsional load when at circle, the sum of nominal tangential force is calculated in the key teeth of the spline, including：
It is calculated by the following formula to obtain in the key teeth of the spline the sum of nominal tangential force F：
Wherein, M indicates that the torsional load, D indicate the reference diameter of the spline.
5. described according to the method described in claim 4, it is characterized in that, after obtaining each backlash of the spline
Method further includes：
By n, the backlash is ascending is ordered as a(1),a(2),…,a(n), and sequentially number corresponding each pair of key teeth
It is 1,2 ..., n；
It is described according to each backlash and the single pair key teeth rigidity, calculate J+1 and key teeth just contacted but has not yet been held
J is to the sum of the elastic force of key teeth before when load, including：
J is to the sum of the elastic force of key teeth F before being calculated by the following formula when J+1 just contacts key teeth but not yet carriest：
Ft=K (a(J+1)-a(1))+K(a(J+1)-a(2))+…+K(a(J+1)-a(J)),
Wherein, K indicates the single pair key teeth rigidity, a(J+1)Indicate the corresponding backlash of a pair of of key teeth that number is J+1.
6. according to the method described in claim 5, it is characterized in that, described according between the torsional load, each flank
Maximum name tangential force, packet is calculated in the key teeth of the spline in gap, the single pair key teeth rigidity and the engaging tooth logarithm
It includes：
Maximum name tangential force F is calculated by the following formula in the key teeth of the splinemax：
Wherein, J indicates that the engaging tooth logarithm, E (a) indicate to participate in backlash average values of the J to key teeth of carrying：
7. according to the method described in claim 1, it is characterized in that, working as load position in the key teeth of the spline is located at indexing
It is described according to the maximum nominal tangential force when at circle, maximum tooth face pressure stress in the key teeth of the spline is calculated, wraps
It includes：
It is calculated by the following formula maximum tooth face pressure stress S in the key teeth of the spline：
Wherein, FmaxIndicate the maximum nominal tangential force, hwIndicate that the wokring depth of tooth of the spline, L indicate the knot of the spline
Close length, αDIndicate the normal pressure angle of the spline.
8. according to the method described in claim 1, it is characterized in that, described according to the maximum tooth face pressure stress, it is calculated
The reliability of the spline under random torsional load effect, including：
Obtain the probability density function of the probability density function of random torsional load and the Gear Surface Strength of the spline；
According to the probability density function of the random torsional load, the probability density function of the maximum tooth face pressure stress is determined；
Based on Stress-Strength Interference Model, according to the probability density function of the Gear Surface Strength, the maximum tooth face pressure stress with
And the probability density function of the maximum tooth face pressure stress, obtain the reliable of the spline under the random torsional load effect
Degree.
9. a kind of spline reliability calculating device, which is characterized in that be applied to cylindrical straight gear involute spline, described device packet
It includes：
Data acquisition module, between each flank of the torsional load, the spline that apply in the key teeth for obtaining the spline
Gap and single pair key teeth rigidity；
Logarithm determining module, for according to the torsional load, each backlash and the single pair key teeth rigidity, determining
The engaging tooth logarithm of the spline；
Tangential force computing module, for according to the torsional load, each backlash, the single pair key teeth rigidity and institute
Engaging tooth logarithm is stated, maximum name tangential force is calculated in the key teeth of the spline；
Compression computing module, for according to the maximum nominal tangential force, maximum tooth in the key teeth of the spline to be calculated
Face pressure stress；
Reliability calculating module, for according to the maximum tooth face pressure stress, it is lower described that random torsional load effect to be calculated
The reliability of spline.
10. a kind of electronic equipment, including memory, processor, it is stored with and can runs on the processor in the memory
Computer program, which is characterized in that the processor, which is realized when executing the computer program in the claims 1-8, appoints
Method described in one.
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| CN112287478A (en) * | 2020-10-20 | 2021-01-29 | 西北工业大学 | Spline fatigue life distribution determining method and device |
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| CN112287478B (en) * | 2020-10-20 | 2024-01-23 | 西北工业大学 | Spline fatigue life distribution determining method and device |
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