CN1215647A - Method for combined use of all 'position number sum' evenly divided locating device - Google Patents

Abstract

A method for combining multiple subunits to divide full "position numeral sum" features that T subunits are used to divide any path by a numeral value (P1...Pi) and after layered, or unlayered, or layering and unlayering mixed combination, the path can be divided by the least common multiple from P1 to Pi without theoretical error. The formula for determining the number of sensors and sensed targets respectively for each of three combinations and the method for continuously dividing the whole range of any path are disclosed.

Description

The method that is used in combination of " positional number and " dividing positioner entirely

The present invention relates to the method that a kind of a plurality of complete " positional number and " dividing positioner is used in combination.

The five equilibrium of indication of the present invention is to the free from error in theory five equilibrium of any distance; Any both plane of distance, also space; Both can be various curves such as straight line, circular arc, part ellipse, parabola or the not closed figure be made up of above-mentioned various curves, also can be closed figure arbitrarily.In the middle of engineering reality, common distance has various chain types, belt production line, the cutter conveyer belt of Tool Magazine in Machining Centers and the distances such as movement locus of rotation-indexing table, the distance of the displacement movement of the displacement part of straight line of lathe.

Location of the present invention is meant in the object that moves on the survey distance free from error in theory location on this distance, and its position is by to the measurement of the location point of experiencing target that is mounted thereon and definite.The location point of experiencing target is meant to be experienced on the target and is representing the point of its position, and this point can be selected as required according to the characteristics of sensing system, as can be the edge end points of experiencing target, geometric center etc.Each experiences determining of target location, just definite (i.e. the location) of the object space that moves on this distance.

Usually to the method for branches such as distance location, be after the distance total length that knows for sure divided by isodisperse, remove the Along ent of definite distance again with the length of each equal segments; This kind method has two aspect problems to solve: the one, and when not knowing distance total length exact value, accurate five equilibrium; The 2nd, in known distance total length, but be divided by with isodisperse, in the time of can not just dividing exactly, there is theoretic error.In addition, dividing positioner of the prior art all is to adopt a receptor to remove a plurality of location points of experiencing target of sensing respectively singly, and only determines the position of Along ent with a receptor output valve of experiencing the target correspondence; Device waits the raising of branch positioning accuracy, depend primarily on the uniform positional precision of respectively experiencing target location point and this two aspects factor of precision of receptor itself, therefore, when the five equilibrium positioning accuracy has higher requirements, experience target and certainly will higher uniform positional precision will be arranged, and realize that high uniform positional precision difficulty is very big, often cost is very high, and is also harsh to environmental requirement.

" positional number and " is though dividing positioner can solve the aforesaid two aspect problems of prior art entirely, but any distance is carried out n five equilibrium (n is the limited nature number greater than 1), requirement has n receptor and n to experience target, when the n number is very big, just need a lot of receptors and experience target, this not only causes the complex structure of dividing positioner, and probably owing to some receptor and the restriction of experiencing the target self structure, can't realize at all.

The purpose of this invention is to provide the composite set of a kind of a plurality of complete " positional number and " sub-device and be used to realize the method for branch location such as distance.High accuracy that dividing positioner can reach that this method had both kept was complete " positional number and ", again can be only with less receptor or experience realization of goal usually will more receptors with experience five equilibrium location number that target could realize.

" positional number and " five equilibrium positioned detection device and method is expressed as follows entirely:

" positional number and " dividing positioner is made of sensing system and affiliated facility entirely.Sensing system is made up of two parts: first comprises a plurality of target G that experience ₀, G ₁..., G _p(P is the limited integer more than or equal to 0, as 2,5,7,11 or 80,10,000 8000000 etc.), they are arranged at can be on the object that moves on a certain distance, and require when measuring, respectively to experience target uniformly-spaced distance be distributed on this distance (by each location point of experiencing target uniformly-spaced distance be distributed on the distance), experiencing target can be with the moving object back and forth movement.Second portion comprises a plurality of receptor F ₀, F ₁..., F _q, (Q is the limited integer more than or equal to 0), they all are arranged near the distance, and the range of each receptor on this distance is respectively R ₀, R ₁..., R _q(receptor the range on the distance be meant receptor can perception the distance scope of experiencing target location point position on distance), also require R when measuring ₀, R ₁..., R _qUniformly-spaced distance is distributed on the distance and (promptly presses R ₀, R ₁..., R _qLocation point uniformly-spaced distance be distributed on the distance); And its at interval distance experience identical between target with each, receptor is meant on R and represents the point of its position that this point can be selected as required according to the characteristics of sensing system at the location point of the range R on the distance, as can be the end points, central point etc. of R.R ₀, R ₁..., R _qRange such as be preferably.Each experiences target and any receptor all can constitute a sensor.

The present invention is in finishing required five equilibrium position fixing process, can comprise that repeatedly receptor is to experiencing the measurement of target, each participate in experiencing between the point of target location of sensing and participate between the R location point of receptor of sensing put in order and spacing distance when each time measured, all require identical.Each is experienced target is fixedly arranged on the all-in-one-piece object, it is the preferred approach that satisfies above-mentioned requirements, uniformly-spaced distance is uniform is installed on one all the time on the driving-chain that moves on the distance by its location point as each being experienced target, and each receptor is installed near the driving-chain the support, makes its R ₀, R ₁..., R _qLocation point also uniformly-spaced distance be distributed on the distance, then no matter when measure, all can guarantee aforementioned requirement.But to some special circumstances, each is experienced target call and is arranged at respectively on a plurality of separate objects, that youngest also needs only when guaranteeing each the measurement in finishing required five equilibrium position fixing process, satisfies above-mentioned requirements, still can realize the free from error in theory five equilibrium of distance is located; During as for non-measurement, each experiences between the point of target location and R ₀, R ₁..., R _qMutual alignment between the location point, and whether they are synchronized with the movement etc. and do not do requirement.

Each experiences between target and R ₀..., R _qBetween uniformly-spaced distance uniform, do not have high uniform position accuracy demand, with | Δ f _Max|+| Δ g _Max|≤R _MinBe principle, wherein Δ g _MaxFor each experiences any 2 largest interval errors of experiencing distance between the point of target location in the target; Δ f _MaxBe the largest interval error of wantonly 2 receptors distance between the range location point on the distance in each receptor, R _MinBe R ₀..., R _qIn minimum range.Δ f _Max, Δ g _MaxExplicit value needn't necessarily know, as long as make Δ f _Max, Δ g _MaxIn the scope of the easy realization of a certain setting, get final product.The installation site of each receptor and experience the installation position of target in moving object and do not have specific (special) requirements can measure accurately with receptor that to experience the position (" positional number " output promptly arranged) of target on distance be principle.

The direct output valve of receptor (or experiencing target) or the indirect output valve after suitably handling, its increments of change and institute survey to be experienced target and moves front and back, and its location point grows up to linear relationship in the corresponding distance between the present position on the distance.The direct output valve and the indirect output valve of above-mentioned receptor (or experiencing target) are referred to as " positional number ".In a dividing positioner, each experience target pairing " positional number " increments of change should with linear relationships such as corresponding distance grows up to.Sensing system of the present invention can be various forms of sensing systems, no matter directly the accurate position of target on distance experienced in reaction, still change as calculated indirect reaction experience target on distance accurately the sensor of position all can be sensing system of the present invention.When the distance in the receptor range is straightway, then various displacement sensors all can be used as the sensing system of this device easily, when the functional relation between distance length and angular displacement was linearity, available various angular displacement sensors were as the sensing system of this device.Institute it should be noted its receptor of some sensing system and experiences the mutual sensing of target, and they are receptor and experience target each other, at this moment, can be as required with one of them as receptor, another is for experiencing target.

If but above-mentioned receptor also has and a plurality ofly under the same state of receptor sensing experiences target, and obtain the function of corresponding a plurality of " positional numbers ", then can replace a plurality of receptors with a receptor; Its essence still is equivalent to corresponding 1 of 1 receptor and experiences target.

Affiliated facility of the present invention mainly comprises receptor and experiences the supporting part of target, collection, computing, summation, comparison and the control section thereof of the power source of whole device and running part and each " positional number ".

The present invention realizes the method for branches such as any distance location: one. be taken at the range R of receptor on distance when the sensing zero point of five equilibrium location (promptly " positional number " of output this moment is zero)

Location point when experiencing the coincide point of location point of target

In certain original position, n+1 receptor sensing accordingly the n+1 on distance experience target (n+1≤P and n+1≤Q), obtain n+1 " positional number " A ₀₀, A ₀₁..., A _0n, summation $M_0=\underset{i=0}{\overset{n}{\mathrm{\Σ}}}{A}_{0i}$ , establish and experience the target travel direction for by F ₀Through F ₁To F _nTravel direction is experienced target and is being moved to the long L of a certain five equilibrium distance in initial position n five equilibrium _j=(L/n) (L is for needing the distance total length of five equilibrium, and j is the nonnegative integer that is less than or equal to n), (n-j)+1 a receptor F behind the * j position _j, F _J+1..., F _nTarget G is experienced in corresponding (n-j)+1 ₀, G ₁..., G _N-j, sensing gets (n-j)+1 " positional number " A _Jj, A _{J (j+1)}..., A _Jn, because F ₀..., F _J-1Nothing is experienced target accordingly in the receptor range, so make A _{J (j-1)}..., A _Jt..., A _J0(t is the nonnegative integer that is less than or equal to j-1) equals corresponding suitable value, obtains each " positional number " and value so that make $M_j=\underset{i=0}{\overset{n}{\mathrm{\Σ}}}{A}_{\mathrm{ji}}$ Satisfy as long as M _j=M ₀(be M _j-M ₀=0), the position of then experiencing target and being moved to is from the long L of distance of initial position _j=(L/n) the just free from error in theory causality of * j.J Along ent also determined thereupon on the distance at this moment.If M ₀≠ M _j, then experiencing the position that target moves to must not be L from the distance length of initial position _j=(L/n) * j, at this moment, experiencing the actual present position of target is Δ L=(M from the long difference with desirable distance (L/n) * of five equilibrium j of distance of initial position _j-M ₀K*)/[(n+1-j)], (k grows into waiting linear relation with corresponding distance by each increments of change of experiencing target pairing " positional number ": the slope of Δ A=k* Δ L, it is determined with the selected of sensing system, common k=1) then adjusts Δ L (just adjusting " positional number " increment Delta A of Δ L correspondence) again, can realize M _j=M ₀

Above-mentioned A _{J (j-1)}..., A _Jt..., A _J0Definite method of each value is as follows:

If c ₀, c ₁..., c _nBe the branch anchor points such as ideal of distance L, c ₀, c _nBe the desirable Along ents of head and the tail, i.e. distance head and the tail two-end-point, a ₀, a _nFor experiencing target G ₀, G _nLocation point, b ₀, b _nBe receptor F ₀, F _nRange R on distance ₀, R _nLocation point, Δ g ₀Be G ₀Experience the location point and the distance end points c of target ₀Between oriented distance, Δ g _nBe G _nExperience the location point and the distance end points c of target _nBetween oriented distance, Δ f ₀Be respectively F ₀Receptor is range R on distance ₀Location point and distance end points c ₀Between oriented distance, Δ f _nBe respectively F _nReceptor is range R on distance _nLocation point and distance end points c _nBetween oriented distance.At this moment, A ₀₀=k* (Δ g ₀+ Δ f ₀), A _0n=k* (Δ g _n+ Δ f _n), if know Δ g ₀, Δ f ₀With Δ g _n, Δ f _nIn two groups in every group one has just known Δ g ₀, Δ g _nΔ f ₀, Δ f _nAll, also just can obtain and to give A _{J (j-1)}..., A _Jt..., A _J0Value, thereby obtain each " positional number " and $M_j=\underset{i=0}{\overset{n}{\mathrm{\Σ}}}{A}_{\mathrm{ji}}$ Value, and then realize n five equilibrium to survey distance L; If each experiences target according to above-mentioned direction of motion motion, corresponding " positional number " is increase trend (value of back survey is greater than the value of before measurement), a ₀, a _n, b ₀, b _nAt survey distance L two-end-point c ₀, c _nIn, then get Δ g ₀For just, Δ g _nFor negative; Δ f ₀For negative, Δ f _nFor just; If a ₀, a _n, b ₀, b _nBeyond the survey distance, then get Δ g ₀For negative, Δ g _nFor just; Δ f ₀For just, Δ f _nFor negative; If each experiences target according to above-mentioned direction of motion motion, corresponding " positional number " is minimizing trend, then Δ g ₀, Δ g _nΔ f ₀, Δ f _nSymbol opposite when corresponding positional number is increase trend.Obviously, as Δ f _n=Δ f ₀=0 o'clock promptly is to R ₀, R _nDistance L between location point _rCarry out five equilibrium.As Δ g _n=Δ g ₀=0 o'clock promptly is to G ₀, G _nDistance L between location point _gCarry out five equilibrium.As Δ g ₀=Δ f _n=0 o'clock promptly is to G ₀, R _nDistance L between location point carries out five equilibrium.As Δ f ₀=Δ g _n=0 o'clock promptly is to G _n, R ₀Distance L between location point carries out five equilibrium.

Specifically, arrive apart from initial position (L/n) * 1 place, receptor F with the relative motion object of which movement when experiencing target ₁, F ₂..., F _nCorrespondence is experienced target G ₀, G ₁..., G _N-1, sensing obtains n " positional number " A ₁₁, A ₁₂..., A _1nF ₀Range in nothing experience target accordingly and can supply sensing, so make A ₁₀=A ₀₀+ k* (Δ g _n-Δ g ₀) or A ₁₀=A _0n+ k* (Δ f ₀-Δ f _n) or A ₁₀=A ₀₀+ A _0n-k* (Δ g ₀+ Δ f _n) or A ₁₀=k* (Δ g _n+ Δ f ₀), summation $M_{}$ ${}_1=\underset{i=0}{\overset{n}{\mathrm{\Σ}}}{A}_{1i}$ , if M ₁=M ₀, the position of then experiencing target and being moved to must be (L/n) * l from the distance length of initial position, and error free in theory, if M ₁≠ M ₀, then the distance length from initial position must not be (L/n) * l.

When experiencing target travel to the time, receptor F apart from initial position (L/n) * 2 places ₂, F ₃..., F _nCorrespondence is experienced target G ₀, G ₁..., G _N-2, sensing obtains n-1 " positional number " A ₂₂, A ₂₃..., A _2nF ₀, F ₁Range in nothing experience target accordingly and can supply sensing, so make A ₂₁=A ₁₁+ k* (Δ g _n-Δ g ₀) or A ₂₁=A ₁₁-A ₀₀+ A _0n+ k* (Δ f ₀-Δ f _n) or A ₂₁=A ₁₁+ A _0n-k* (Δ g ₀+ Δ f _n) or A ₂₁=A ₁₁-A ₀₀+ k* (Δ f ₀+ Δ g _n), A ₂₀=A ₀₀+ A _1n-A _0n+ k* (Δ g _n-Δ g ₀) or A ₂₀=A _1n+ k* (Δ f ₀-Δ f _n) or A ₂₀=A ₀₀+ A _1n-k* (Δ g ₀+ Δ f _n) or A ₂₀=A _1n-A _0n+ k* (Δ g _n+ Δ f ₀), summation $M_2=\underset{i=0}{\overset{n}{\mathrm{\Σ}}}{A}_{2i}$ , if M ₂=M ₀, the position of then experiencing target and being moved to must be (L/n) * 2 from the distance length of initial position, and error free in theory, if M ₂≠ M ₀, then distance length must not be (L/n) * 2.

Move to (L/n) * j place, n-j+l receptor F when experiencing target _j, F _J+1..., F _nExperience target G for corresponding n-j+1 ₀, G ₁..., G _N-j, sensing obtains n-j+1 " positional number " A _Jj, A _{J (j+1)}..., A _Jn, because of F ₀..., F _J-1Nothing is experienced target accordingly in the receptor range, so make A _{J (j-1)}=A _{(j-1) (j-1)}+ k* (Δ g _n-Δ g ₀) ..., A _Jt=A _Tt+ A _{(j-t-1) n}-A _0n+ k* (Δ g _n-Δ g _o) ..., A _J0=A ₀₀+ A _{(j-1) n}-A _0n+ k* (Δ g _n-Δ g ₀) or A _{J (j-1)}=A _{(j-1) (j-1)}-A ₀₀+ A _0n+ k* (Δ f ₀-Δ f _n) ..., A _Jt=A _Tt+ A _{(j-t-1) n}-A ₀₀+ k* (Δ f ₀-Δ f _n) ..., A _J0=A _{(j-1) n}+ k* (Δ f ₀-Δ f _n) or A _{J (j-1)}=A _{(j-1) (j-1)}+ A _0n-k* (Δ g ₀+ Δ f _n) ..., A _Jt=A _Tt+ A _{(j-t-1) n}-k* (Δ g ₀+ Δ f _n) ..., A _J0=A ₀₀+ A _{(j-1) n}-k* (Δ g ₀+ Δ f _n) or A _{J (j-1)}=A _{(j-1) (j-1)}-A ₀₀+ k* (Δ f ₀+ Δ g _n) ..., A _Jt=A _Tt+ A _{(j-t-1) n}-A ₀₀-A _0n+ k* (Δ f ₀+ Δ g _n) ..., A _J0=A _{(j-1) n}-A _0n+ k* (Δ f ₀+ Δ g _n); Ask each " positional number " and $M_j=\underset{i=0}{\overset{n}{\mathrm{\Σ}}}{A}_{\mathrm{ji}}$ , as long as M _j=M ₀(be M _j-M ₀=0), the position of then experiencing target and being moved to is from the long L of distance of initial position _j=(L/n) * j is just error free in theory.J Along ent also determined thereupon on the distance at this moment.If M ₀≠ M _j, then experiencing the position that target moves to must not be L from the distance length of initial position _j=(L/n) * j.

If F _nAfter also have m receptor F of same spacing distance _N+1..., F _N+m, (this moment, m≤Q-n-1) then worked as M ₁=M ₀The time, promptly experience target travel and arrive, at this moment G apart from initial position (L/n) * 1 place _nCorresponding receptor F _N+1, remain n+1 receptor F ₁..., F _n, F _N+1Experience target G for corresponding n+1 ₀, G ₁..., G _N-1, G _n, and with this state as new original state, but sensing obtains n+1 " positional number " A ₀₀', A ₀₁', A ₀₂' ..., A _0n' wherein, A ₀₀'=A ₁₁, A ₀₁'=A ₁₂..., A _{0 (n-1)}'=A _1nA _0n' be F _N+1Sensing G _n" positional number " that obtains, Δ g at this moment ₀'=Δ g ₀, Δ g _n'=Δ g _n, Δ f ₀'=A ₁₁/ k-Δ g ₀, Δ f _n'=A _0n'/k-Δ g _nSummation $M_0\′=\underset{i=0}{\overset{n}{\mathrm{\Σ}}}{A}_{0i}\′$ When experiencing target travel [distance * 2 places, original initial position (L/n)] to the time, receptor F apart from new initial position (L/n) * 1 place ₂..., F _n, F _N+1Correspondence is experienced target G ₀, G ₁..., G _N-1, sensing obtains n " positional number, A ₁₁', A ₁₂' ..., A _1n', F ₁But range in do not have corresponding sense and like the target sensing, so make A ₁₀'=A ₀₀'+k* (Δ g _n'-Δ g ₀') or A ₁₀'=A _0n'+k* (Δ f ₀'-Δ f _n') or A ₁₀'=A ₀₀'+A _0n'-k* (Δ g ₀'+Δ f _n') or A ₁₀'=k* (Δ g _n'+Δ f ₀'), summation $M_1\text{\′=}\underset{i=0}{\overset{n}{\mathrm{\Σ}}}{A}_{1i}\′$ , if M ₁'=M ₀', then experience position that target moves to and must be (L/n) * 1 from the distance length of new initial position, and error free in theory, at this moment, experience long (L/n) * 2 of being of the distance of position from original initial position that target moves to; If M ₁' ≠ M ₀', then the distance length from new initial position must not be (L/n) * 1.

If with M _s=M ₀State when (s is the nonnegative integer that is less than or equal to m) is as new original state, G _N-s+1, G _N-s+2..., G _nCorresponding F _N+1..., F _N+s, at this moment, G ₀..., G _nCorresponding F _s, F _S+1..., F _N+s, can get n+1 " positional number " A ₀₀' ..., A _0n', A wherein ₀₀'=A _Ss, A ₀₁'=A _{S (s+1)}..., A _{0 (n-s)}'=A _SnA _{0 (n-s+1)}' ..., A _0n' be F _N+1..., F _N+sCorresponding G _N-s+1..., G _n" positional number " that obtains; At this moment, Δ g ₀'=Δ g ₀, Δ g _n'=Δ g _n, Δ f ₀'=A ₀₀'/k-Δ g ₀', Δ f _n'=A _0n'/k-Δ g _n'; Summation $M_0\′=\underset{i=0}{\overset{n}{\mathrm{\Σ}}}{A}_{0i}\′$ , when experiencing target travel [distance original initial position (L/n) *) s+1) locate] to the time, receptor F apart from new initial position (L/n) * 1 place _S+1..., F _N+sCorrespondence is experienced target G ₀, G ₁..., G _N-1, sensing obtains n " positional number " A ₁₁', A ₁₂' ..., A _1n', F _sBut range in nothing experience the target sensing accordingly, so make A ₁₀'=A ₀₀'+k* (Δ g _n'-Δ g ₀') or A ₁₀'=A _{0n '}+ k* (Δ f ₀'-Δ f _n') or A ₁₀'=A ₀₀'+A _0n'-k* (Δ g ₀'+Δ f _n') or A ₁₀'=k* (Δ g _n'+Δ f ₀'), summation $M_1\′=\underset{i=0}{\overset{n}{\mathrm{\Σ}}}$ A _1i', if M ₁'=M ₀', then experience position that target moves to and must be (L/n) * 1 from the distance length of new initial position, and error free in theory, at this moment, experience long (L/n) * (s+1) of being of the distance of position from original initial position that target moves to.

If G ₀Before have the m of same spacing distance to experience target G _0m..., G ₀₁, (this moment, m≤P-n-1) then worked as M ₁=M ₀The time, promptly experience target travel and arrive apart from initial position (L/n) * 1 place, at this moment, F ₀Corresponding G ₀Previously experience target G ₀₁, remain n+1 receptor F this moment ₀..., F _nExperience target G for corresponding n+1 ₀₁, G ₀..., G _N-1, and with this state as new original state, but sensing obtains n+1 " positional number " A ₀₀', A ₀₁', A ₀₂' ..., A _On' wherein, A ₀₁'=A ₁₁, A ₀₂'=A ₁₂..., A _0n'=A _1nA ₀₀' be F ₀Sensing G ₀₁" positional number " that obtains, Δ f ₀'=Δ f ₀, Δ f _n'=Δ f _n, Δ g ₀'=A ₀₀'/k-Δ f ₀', Δ g _n'=A _0n'/k-Δ f _n'; Summation $M_{}$ ${}_0\′=\underset{i=0}{\overset{n}{\mathrm{\Σ}}}{A}_{0i}\′$ When experiencing target travel [distance * 2 places, original initial position (L/n)] to the time, receptor F apart from new initial position (L/n) * 1 place ₁..., F _n, correspondence is experienced target G ₀₁, G _o..., G _N-2, sensing obtains n " positional number " A ₁₁', A ₁₂' ..., A _1n', F ₀Range in nothing experience target accordingly and can supply sensing, so make A ₁₀'=A _0n'+k* (Δ f ₀'-Δ f _n') or A ₁₀'=A ₀₀'+k* (Δ g _n'-Δ g ₀') or A ₁₀'=A ₀₀'+A _0n'-k* (Δ g ₀'+Δ f _n') or A ₁₀'=k* (Δ g _n'+Δ f ₀'), summation $M_{}$ ${}_1\′=\underset{i=0}{\overset{n}{\mathrm{\Σ}}}{A}_{1i}\′$ , if M ₁'=M ₀', then experience position that target moves to and must be (L/n) * 1, and error free in theory from the distance length of new initial position, at this moment, experience the distance length of position that target moves to and must be (L/n) * 2 from original initial position; If M ₁' ≠ M ₀', then the distance length from new initial position must not be (L/n) * 1.

If with M _s=M ₀State when (at this moment, s is the nonnegative integer that is less than or equal to m) is as new original state, F ₀..., F _S-1Corresponding G _0s..., G ₀₁, at this moment, F ₀..., F _nCorresponding G _0s..., G _N-s, can get n+1 " positional number " A ₀₀' ..., A _0n', A wherein _0s'=A _Ss, A _{0 (s+1)}'=A _{S (s+1)}..., A _0n'=A _SnA ₀₀' ..., A _{0 (s-1)}' be F ₀..., F _S-1Corresponding G _0s..., G ₀₁" positional number " that obtains; At this moment, Δ f ₀'=Δ f ₀, Δ f _n'=Δ f _n, Δ g ₀'=A ₀₀'/k-Δ f ₀', Δ g _n'=A _0n'/k-Δ f _n'; Summation $M_{}$ ${}_0\′=\underset{i=0}{\overset{n}{\mathrm{\Σ}}}{A}_{0i}\′$ , when experiencing target travel [distance original initial position (L/n) * (s+1) locates] to the time, receptor F apart from new initial position (L/n) * 1 place ₁..., F _nCorrespondence is experienced target G _0n, G _{0 (s-1)}..., G _N-s-1, sensing obtains n " position amount number " A ₁₁', A ₁₂' ..., A _1n', F ₀Range in nothing experience target accordingly and can supply sensing, so make A ₁₀'=A _0n'+k* (Δ f ₀'-Δ f _n') or A ₁₀'=A ₀₀'+k* (Δ g _n'-Δ g ₀') or A ₁₀'=A ₀₀'+A _0n'-k* (Δ g ₀'+Δ f _n') or A ₁₀'=k* (Δ g _n'+Δ f ₀'), summation $M_{}$ ${}_1\′=\underset{i=0}{\overset{n}{\mathrm{\Σ}}}{A}_{1i}\′$ , if M ₁'=M ₀', the position of then experiencing target and being moved to must be (L/n) * 1 from the distance length of new initial position, and error free in theory, at this moment, experiences the distance length of position from original initial position that target moves to and must be (L/n) * (s+1).If M ₁' ≠ M ₀', then experiencing the position that target moves to must not be (L/n) * (s+1) from the distance length of initial position.

Certainly, no matter be F _nAfter m receptor F arranged _N+1..., F _N+m, or G ₀Before have m to experience target G _0m..., G ₀₁, all can adopt the method for iteration to carry out the five equilibrium location of corresponding distance, promptly work as M ₁=M ₀The time, experience target and moved to, and error free in theory from original initial position (L/n) * 1 distance strong point, the state of this moment as new original state, and is obtained this moment corresponding n+1 of n+1 receptor and experienced the resulting n+1 of target individual " positional number " and M ₀' (M ₀' ≠ M ₀), utilize the aforementioned M of passing through again ₁=M ₀The method of definite (L/n) * 1 anchor point such as branch such as grade is obtained M ₁', moved (L/n) * 1 distance length again in theory error freely and determined the long five equilibrium anchor point of (L/n) * 2 distances thereby determine to experience target; At this moment, again with M ₁'=M ₀' as new original state, utilize said method, can obtain M again ₀", M ₁", determine the five equilibrium anchor point that (L/n) * 3 distances are long, by that analogy, can realize F _nAfter m receptor and G are arranged ₀Before have m to experience the error free in theory five equilibrium location of target distance.Two. be not taken at the location point and the position of experiencing target of the range R of receptor on distance zero point when the sensing of five equilibrium location

The point coincide point the time

" positional number " that obtain this moment, be taken at the oriented distance between its heavy and " positional number " when point location point of differing a R and measurement zero point, if " positional number " that will obtain in such cases removes the part that differs, the method described in promptly available " " is carried out the five equilibrium location.

Because definite (be assumed to be i five equilibrium anchor point, i is the nonnegative integer smaller or equal to the five equilibrium location number) of arbitrary five equilibrium anchor point finally is by M ₁-M ₀Whether be zero the decision, so because negative function, whether sensing is taken at coincide point zero point, for utilizing Δ g _n, Δ g ₀Ask A _JtThereby, carry out the method for five equilibrium location and do not have influence, needn't remove the part that differs to " positional number " that obtain, and for utilizing Δ f _n, Δ f ₀Ask A _JtMethod, if F ₀With F _nR ₀, R _nDeng range, also needn't differ the removal computing of part.

During practical application, in finishing required five equilibrium position fixing process, each receptor is to experiencing the measurement of target, and all requiring has the corresponding target of experiencing in the range of each receptor on distance, so, when beginning to measure, should make and respectively experience target immigration R ₀..., R _nPublic range w in, this public range also is the adjusting range of aforementioned Δ L.

If being divided into two classes on the distance a little, a class is that the initial Along ent distance of distance is L after distance total length L being carried out branch such as n _j=(L/n) each Along ent of * j (n is the limited nature number greater than 1, and j is the nonnegative integer smaller or equal to n), this is some limited points.Another kind of is continuity point between adjacent Along ent, if the continuous each point between these Along ents also can error free in theory location, but then system-wide journey L goes up all error free location on the realization theory of each point.

Implement continuous five equilibrium location, require in n+1 the receptor, whenever the range of adjacent two receptors on distance is connected mutually or is overlapping, make have a few on the distance L and initial Along ent between all available L of distance _j=(L/n) * j+ (M _j-M ₀K*)/[(n+1-j)] represent, can realize the free from error in theory continuous five equilibrium of distance whole process location.Because point on arbitrary distance and the point on its similar figures distance are one-to-one relationship,, just the five equilibrium of its similar figures distance is located so the five equilibrium of this distance is located.So, also part among the n+1 can be experienced target is arranged on the similar distance, as long as receptor corresponds at the range on the similar figures distance that range on the distance that needs five equilibrium is connected mutually with the range of another part receptor on this distance or is overlapping, make need wait the each point on the branch distance all to be covered, still can carry out the free from error in theory continuous five equilibrium location of system-wide journey by the range of receptor on this distance.In addition, adopt compound mode also can realize this function.

Because the range of receptor on distance and experience the target uniformly-spaced existence of the uniform error of distance separately, and each receptor R ₀..., R _nDifference, following situation can appear:

Experience target and entered the range R of j receptor on distance for j-1 _jIn, and j experiences target and does not also break away from R _jEnter the R of j+1 receptor _J+1Within, and j+1 experiences target and has entered R _J+2, at this moment, R _jIn have two to experience target, and R _J+1Interior nothing is experienced target; This just need experience target at R with j _jInterior " positional number " is converted to R _J+1In, make each receptor one of correspondence experience target, so that use formula L _j=(L/n) * j+ (M _j-M ₀K*)/[(n+1-j)] realize the free from error in theory continuous five equilibrium of distance whole process location.

Work as R ₀With R _nHeavy and, g ₀With g _nHeavy and, then be branches such as n location to the sealing distance.

The combination of composite set of the present invention can be the layering compound mode, also can be not stratified compound mode, also can be layering and not stratified compound mode of mixing.Which kind of compound mode no matter, sub-device makes up (T be the limited nature number greater than 1, as 2,3,4,5,800000000) individual complete " positional number with ", and each sub-device can carry out P to distance respectively if T ₁, P ₂..., P _tThe free from error in theory five equilibrium location of number, then composite set can obtain distance is carried out P ₁, P ₂..., P _tThe five equilibrium locator value distance of least common multiple long.

For layering combination, T complete " positional number and " sub-device makes up, and each height device all has relative motion and standstill two parts, comprises respectively to experience target and receptor; If comprising the part of receptor (or experiencing target) is relative stationary part, then another part is the relative motion part.Its syntagmatic is for realizing P ₁Relative stationary part in the child device of five equilibrium location number is installed on realizes P ₂On the relative motion part of the child device of five equilibrium location number, while P ₂Relative stationary part be installed on P ₃Relative motion part on, the rest may be inferred, until P _tThe fixed installation of the relative distance of relative stationary part.The orientation that relative stationary part is installed on the relative motion part does not have strict demand, is principle with the operate as normal that does not influence each sub-device.In five equilibrium when location,, each sub-device can move in certain sequence, also can move simultaneously, but each sub-device is after finishing required separately five equilibrium location, and its relative static and motion two parts relative fixed is motionless; This device can obtain distance P ₁, P ₂..., P _tThe five equilibrium locator value of least common multiple.If P ₁, P ₂..., P _tIn between wantonly 2 numbers except that 1 no common divisor, then can obtain distance $\underset{i=1}{\overset{t}{\mathrm{\Π}}}{P}_i$ The five equilibrium locator value of number.Because the adjustment amount Δ L=(M of a branch location such as complete " positional number and " dividing positioner _j-M ₀)/(k*n) (isodisperse that n installs for this reason); If the adjusting range of each sub-device Δ L is respectively W in the composite set ₁, W ₂..., W _t, then as L/ (P ₁, P ₂..., P _tLeast common multiple) $\≤\underset{i=1}{\overset{t}{\mathrm{\Σ}}}{W}_i$ The time, can pass through one or more sub-devices, use corresponding separately Δ L ₁=(M _j-M ₀)/(k*P _i) (i=1 wherein ..., t) the adjustment amount formula is to the continuous five equilibrium of branch value distance progress row such as minimum distance location.

Adopt not stratified mode to make up, promptly the target of experiencing of each the sub-device that makes up is installed on the same object that moves on the distance, available receptor (or experiencing target) still less needs more receptor or experiences the five equilibrium location number that target could realize when realizing not making up.

Still establishing number of combinations is T, and each sub-device can carry out P to distance respectively ₁, P ₂..., P _tThe five equilibrium location of number; The target of experiencing of each sub-device is installed on the same object that moves on the distance, and its location point requires to be distributed on the distance respectively separately; And the receptor of each sub-device is installed near the distance, and distance maintains static relatively, its location point at the range on the distance also requires to be distributed in respectively separately on the distance, each receptor and experience the installation requirement of target, identical with single complete " positional number and " dividing positioner.Each sub-device carries out mutually noninterfere to the five equilibrium location of distance is separate successively.Work as P ₁, P ₂..., P _tIn, between any two numbers except that 1 no common divisor, can obtain distance $\underset{i=1}{\overset{t}{\∏}}{P}_i$ The score value such as grade of number;

If each sub-device is selected same receptor and experience target for use, and 2 receptors are all arranged in each sub-device and experience target shared, or shared 2 receptors of per 2 sub-devices and experience target, this moment, composite set can be used $\left(\underset{i=1}{\overset{t}{\mathrm{\Σ}}}{P}_i\right)-(T-2)$ Individual receptor and $\underset{i=1}{\overset{t}{\mathrm{\Π}}}{P}_i+1$ Individually experience target $(\underset{i=1}{\overset{t}{\mathrm{\Π}}}{P}_i+1$ The individual location point of experiencing target is distributed on the distance) or use $\left(\underset{i=1}{\overset{t}{\mathrm{\Σ}}}{P}_i\right)$ -(T-2) individual experience target and $\underset{i=1}{\overset{t}{\mathrm{\Π}}}{P}_i+1$ Individual receptor $(\underset{i=1}{\overset{t}{\mathrm{\Π}}}{P}_i+1$ Individual receptor requires to be distributed on the distance at the location point of range on the distance) at this moment, can guarantee the sub-device of whichever after finishing required separately five equilibrium location, all have the target of impression to locate in the receptor range in other sub-devices for proceeding five equilibrium to distance.

In not stratified compound mode, no matter receptor with experience target and have or not shared situation, as L/ (P ₁, P ₂..., P _tLeast common multiple)≤W _ImaxThe time, (W _ImaxBe the maximum in the adjusting range of each sub-device Δ L in the not stratified composite set), then can utilize the adjustment formula of Δ L to determine L/ (P ₁, P ₂..., P _tLeast common multiple) position (being the each point on the distance between each Along ent) of each point in the distance; Thereby realize the continuous five equilibrium location on the distance whole process.In the practical application, adopt L/ (P ₁, P ₂..., P _tLeast common multiple)≤W _Imin, (W _IminBe the minimum of a value in the adjusting range of each sub-device Δ L in the not stratified composite set) can easier realization be located by the continuous five equilibrium of score values such as distance minimum;

The hybrid combining mode is that layering composite set and not stratified composite set are made up again, makes the device after the combination have layering combination and not stratified combined feature and function concurrently.

H five equilibrium location number is respectively P ₁, P ₂..., P _hLayering composite set and U five equilibrium location number of sub-device be respectively Q ₁, Q ₂..., Q _uThe not stratified composite set of sub-device when carrying out hybrid combining (wherein H, U is the limited nature number greater than 1), not stratified composite set can be used as a sub-device in the layering composite set, promptly be equivalent to H+1 sub-device and carry out the layering combination; Like this, the hybrid combining device had both had the feature and the function of layering composite set, also, it has feature and function that not stratified composite set has concurrently because of having the sub-device of not stratified combination, just receptor slightly changes with the number of experiencing target, and at this moment: the number of hybrid combining device receptor is the number sum of the number and the not stratified composite set receptor of layering composite set receptor; The hybrid combining device is experienced the number of target and is experienced the number of target and the number sum that not stratified composite set is experienced target for the layering composite set;

In composite set, but, then can replace a plurality of receptors with a receptor if receptor has a receptor sensing and exports a plurality of functions of experiencing " positional number " of target under the same state; Can be if experience target for one by a plurality of receptor sensings under the same state, and output " positional number " separately, then can experience target and replace a plurality of targets of experiencing with one; Receptor and experience the number of target in the corresponding composite set, the number that deducts superseded receptor in this device again and experience target are the used receptor of composite set reality and experience the number of target.

T sub-device makes up, realization system-wide journey length $\underset{i=1}{\overset{t}{\mathrm{\Π}}}{P}_i$ The five equilibrium location of number requires P ₁, P ₂..., P _tIn except that 1, common divisor can not be arranged in per 2 numbers, at this moment, if a certain sub-device P ₁Numerical value is bigger, then this sub-device just needs a lot of receptor of number and experiences target, and in actual demand, the branch positioning requirements such as big figure that big prime number or little prime number high order idempotent are difficult for realization also can appear, also need the receptor of same big figure this moment and experience target, implement uneconomically like this, even can't realize.At this moment, can adopt and close with it can be respectively S by D five equilibrium location number ₁, S ₂, S _dSub-device make up and adopt the five equilibrium location number of being realized and substitute, and consequent error can be utilized formula L/ (S in theory ₁..., S _dLeast common multiple)-L/ (need substitute number) calculates (being only limited to known distance total length L), realizing S ₁, S ₂, S _dFive equilibrium when location of keeping count of of least common multiple, with this error by S ₁, S ₂, S _dIn arbitrary sub-device bear or by S ₁, S ₂, S _dIn a few height devices share, utilize the corresponding formula Δ L=(M that adjusts _j-M ₀)/(k*S _i) eliminated.

Except that above compound mode, also each height device can be made up along distance L serial arrangement, each height device have separately experience target and receptor, and can independently realize the five equilibrium location (corresponding separately distance is the part of distance L) of corresponding distance separately, can obtain significative results after its combination utilization.

Still establishing number of combinations is T, each sub-device can be respectively to corresponding distance L separately ₁, L ₂..., L _tCarry out P ₁, P ₂..., P _tThe five equilibrium location of number; The target of experiencing of each sub-device is installed on the same object that moves on the distance L, and its location point requires to be distributed in respectively separately distance L and goes up and (experience target with L as sub-device 1 ₁/ P ₁Spacing be distributed on the distance L, sub-device 2 experience target with L ₂/ P ₂Spacing be distributed on the distance L); And the receptor of each sub-device is installed near the distance, and distance maintains static relatively, its location point at the range on the distance also requires to be distributed in respectively separately on the corresponding separately distance, each receptor and the installation requirement of experiencing target, after the identical then combination of single complete " positional number and " dividing positioner, can realize that the distance value is (L ₁/ P ₁) * j ₁+ (L ₂/ P ₂) * j ₂+ ... " L _t/ P _t) * j _tAccurate location (j ₁, j ₂... j _tBe sub-device 1,2 ..., score value L such as t actual needs ₁/ P ₁, L ₂/ P ₂..., L _t/ P _tInteger multiple).

Advantage of the present invention:

First: available less receptor and experience the five equilibrium location of realization of goal to the distance greater number, compare with single complete " positional number with " dividing positioner of congenerous, the cost of composite set descend significantly and precision constant.

Second: adopt not stratified compound mode, available very a spot of five equilibrium location that target or receptor realize distance is carried out big figure of experiencing makes structure greatly simplify simultaneously, saves the space.

The 3rd: because the relation of transducer range and precision, compound mode makes the continuous five equilibrium of system-wide journey location be easier to realize.

The 4th: each layer all works alone when adopting the layering combination, mutually noninterfere, so the adjustment formula of all available Δ L of each bed device is adjusted in the W scope, and increasing along with the number of plies, total W scope also will increase thereupon, thereby overcome the deficiency that the single dividing positioner W of congenerous is difficult to enlarge, this also makes the continuous five equilibrium easier realization in location.

The 5th: the present invention can locate the continuous five equilibrium that any distance whole process is carried out on the free from error in theory real mathematical meaning under the aforesaid condition.Locate with the sort of " continuously " five equilibrium that is still a series of discontinuous points in fact of divided method realization and be different from prior art.

The 6th: the present invention can carry out dynamically as required, static measurement.

The 7th: the sensor that can be used as sensing system of the present invention is varied, thereby the range of choice of broad is provided.

The 8th: the present invention does not have the problem of " drift ".

The 9th: the present invention can carry out the five equilibrium location to any distance, and distance length can be known length also can be forbidden to know its length; Be specially adapted to the accurate location that rectilinear coordinates move on the lathe.

The tenth:.It is shorter that the present invention carries out the five equilibrium position fixing process time, during this period, environmental factors such as temperature are less to the influence of sensor, and five equilibrium positioning accuracy of the present invention only the output valve of the sensor in the short time is relevant therewith, so environmental factors such as temperature are very little to influence of the present invention.

Below in conjunction with accompanying drawing with by means of related example, the present invention is described in further detail:

Fig. 1 is the schematic diagram of slip displacement sensor system.Fig. 2 is the schematic diagram of wirewound potential meter formula displacement transducer system.Fig. 3 is the schematic diagram of difference induction formula displacement transducer system.Fig. 4 is the schematic diagram of mistor formula displacement transducer system.Fig. 5 is the schematic diagram of capacitive displacement transducer system.Fig. 6 is the schematic diagram of laser-ccd sensor system.Fig. 7 is the schematic diagram of laser interferometer sensing system.Fig. 8 is the schematic diagram of generator-type displacement transducer system.Fig. 9 is the schematic diagram of grating displacement transducer system.Figure 10 is the schematic diagram of hall effect type displacement transducer system.Figure 11 is the schematic diagram of inductosyn formula displacement transducer system.Figure 12 is the schematic diagram of sonde-type displacement transducer system.Figure 13 is that moving-member is the structural representation of lathe moving-member not stratified composite set of motion positions on guide rail at structural representation Figure 15 of motion positions series combination device on the guide rail for structural representation Figure 14 of parts moving linearly motion positions layering composite set

1 is resistance wire among Fig. 1, is chosen as and experiences target; 2 is brush, is chosen as receptor; 3 is movable body.

1 is potentiometer among Fig. 2, is chosen as receptor; 2 is brush, is chosen as and experiences target; 3 is movable body.

1 is armature among Fig. 3, is chosen as and experiences target; 2 is inductance displacement sensor, is chosen as receptor; 3 is movable body.

1 is the mistor element among Fig. 4, is chosen as and experiences target; 2 is magnet, is chosen as receptor; 3 is movable body; 4 for experiencing the supporting arrangement of target; 5 is the supporting arrangement of receptor.Because directly output valve is non-linear relation with displacement, so the proven suitable processing of need makes indirect output valve and pairing displacement after the processing linear, this indirect output valve is " positional number ".

1 is the movable plate electrode of capacitance sensor among Fig. 5, is chosen as and experiences target; 2 is static plate electrode, is chosen as receptor; 3 is movable body, and 4 is the supporting arrangement of static plate electrode.

1 is linear array (or face battle array) CCD among Fig. 6, is chosen as and experiences target; 2 is laser instrument, is chosen as receptor; 3 is movable body.

1 is speculum among Fig. 7, is chosen as and experiences target; 2 is laser interferometer, is chosen as receptor; 3 is movable body.

1 for experiencing target and movable body among Fig. 8, can be along the diagram arrow direction; 2 is magnet, makes receptor, utilizes generator principle to measure.

1 is indication grating among Fig. 9, is chosen as and experiences target; 2 is the key light grid, is chosen as receptor; 3 is movable body, can be along the diagram arrow direction;

1 for experiencing target and movable body among Figure 10, can be along the diagram arrow direction; 2 is magnet, is chosen as receptor, utilizes the Hall effect principle to measure.

1 is the inductosyn slide rule among Figure 11, is chosen as and experiences target; 2 is the inductosyn scale, is chosen as receptor; 3 is movable body, can be along the diagram arrow direction.

1 for experiencing target among Figure 12; 2 is the sonde-type displacement transducer, is chosen as receptor; 3 is support; Wherein the sonde-type displacement transducer can be mechanical type.Raster pattern, electric vortex type, string shake formula, optical fiber type, Li Minshi, inductance solenoid type, pneumatic type, fluid pressure type, Mageneto-sensitive type, various probe sensors such as potentiometer formula, inductance type.

Fig. 1 is to Figure 12, and (various angular displacement sensor types are corresponding with above-mentioned displacement transducer type, and operation principle is similar for these 12 figure; In addition,, no longer exemplify here also just like photoelectric displacement sensor etc.), they all are the specific sensor types of experiencing target G and receptor F, are the sensor that detects distance long (directly or indirectly).Though various Fundamentals of Sensors difference, in each sensing system, the output valve of each receptor (or experiencing target) all should accurately reflect experiences the position of target on distance; And output corresponding " positional number ".

Figure 13 is the structural representation of parts moving linearly motion positions layering composite set

Moving component 4 can be made the straight line back and forth movement along guide rail 1, and moving component 3 can be made the straight line back and forth movement along parts 4, experiences target G ₀, G ₁..., G _nBe the electric capacity static plate electrode, be installed on the guide rail 1, require equidistantly uniform on it, receptor F ₀, F ₁..., F ₃Be the electric capacity movable plate electrode, be installed on the support 2 that support 2 is fixed on the moving component 4: G ₀, G ₁..., G _nWith F ₀, F ₁..., F ₃Constitute sub-device 1; 6 is the magnetic grid band, is installed on the moving component 4 G ₀', G ₁' ..., G ₅' be magnetic grid; F ₀', F ₁', F ₂' be magnetic head, be installed on the support 5, support 5 is fixed on the moving component 3; G ₀', G ₁' ..., G ₅' and F ₀', F ₁', F ₂' constitute sub-device 2, and can realize continuous five equilibrium location.Sub-device 1, but 2 equal self-movements, mutually noninterfere.

Show the position as Figure 13, that installs on the moving component 4 experiences target G _i, G _I+1..., G _I+3(i is the natural number less than n) corresponding receptor F ₀, F ₁..., F ₃, as initial position, sub-device 1 can be realized F with this position ₀, F ₃The trisection of distance between location point, promptly moving component 4 can be realized F along guide rail ₀, F ₃The free from error in theory location of the trisection distance value multiple of distance between location point.

That installs on the moving component 4 experiences target G ₀', G ₁' ..., G ₅' be each magnetic grid, corresponding receptor F ₀', F ₁', F ₂' be magnetic head, as initial position, sub-device 2 can be realized F with shown position ₀', F ₂' the continuous five equilibrium location of distance between location point, promptly moving component 3 can be realized the free from error in theory continuous five equilibrium location of distance in the magnetic grid band scopes along moving component 4.

Obviously, work as F ₀, F ₃The trisection distance value of distance is less than the magnetic grid strip length between location point, and then moving component 3 can be done the continuous five equilibrium location of error free any distance in theory along guide rail 1.

Figure 14 is the structural representation of moving-member motion positions series combination device on guide rail

Moving-member 2 is back and forth movement on guide rail 5, experiences target G ₀..., G _nFor being installed on the groove on the linear standards 1 on the guide rail 5, receptor is the groove reading device (as optical reading head, the CCD shooting is first-class) that is installed on the support 3, and support 3 is installed on the moving-member 2, moves back and forth along guide rail with moving-member 2.

F ₀, F ₁, F ₂, F ₃Constitute sub-device 1, F with corresponding groove ₃, F ₄, F ₅Constitute sub-device 2, wherein F with corresponding groove ₃Be shared receptor; Sub-device 1 can be realized F ₀, F ₃Distance L between location point ₁3 branches such as grade location, promptly moving component 2 can be realized L along guide rail ₁The free from error in theory location of/3 distance value multiples; Sub-device 2 can be realized F ₃, F ₅Distance L between location point ₂2 branches such as grade location, promptly moving component 2 can be realized L along guide rail ₂The free from error in theory location of/2 distance value multiples; Sub-device 1,2 all can independently carry out the five equilibrium setting movement, and the two combination utilization can realize that the distance value is (L ₁/ 3) * i+ (L ₂/ 2) (i, j are the L of actual needs the five equilibrium of * j location ₁/ 3, L ₂/ 2 integer multiple); In this example, F ₃Be shared receptor, and L ₁Approximate 3 times L ₂So each self-corresponding groove can be together with one group of groove, as shown in FIG. in the sub-device 1,2.

Figure 15 is the structural representation of lathe moving-member not stratified composite set of motion positions on guide rail

Moving-member 5 is back and forth movement on guide rail 2, experiences target G ₀..., G _nFor being installed on the groove on the linear standards 1 on the guide rail 2, receptor is the groove reading device (as optical reading head, the CCD shooting is first-class) that is installed on the support 4, and support 4 is installed on the moving-member 5, moves back and forth along guide rail with moving-member 5.

F ₀, F ₂, F ₄Constitute sub-device 1, F with corresponding groove ₀, F ₁, F ₃, F ₄Constitute sub-device 2, wherein F with corresponding groove ₀, F ₄Be shared receptor; Sub-device 1 can be realized the location such as 2 branches such as grade of distance L, and promptly moving component 5 can be realized the free from error in theory location of L/2 distance value multiple along guide rail; Sub-device 2 can be realized the location such as 3 branches such as grade of distance L, and promptly moving component 5 can be realized the free from error in theory location of L/3 distance value multiple along guide rail; Sub-device 1,2 all can independently carry out the five equilibrium setting movement, and the two combination utilization can realize that the distance value is the five equilibrium location of L/6; It is the free from error in theory location that moving component 5 can be realized L/6 distance value multiple along guide rail; In this example, F ₀, F ₄Be shared receptor, and be receptor of the same race, so each self-corresponding groove can be together with one group of groove, as shown in FIG. in the sub-device 1,2.

Claims (10)

1. the method that is used in combination of complete " positional number and " dividing positioner is with uses that combine of the sub-device of T (T is for greater than 1 limited nature number, as 2,3,4,5,800000000) individual complete " positional number and ", thereby realizes the five equilibrium of any distance is located; It is characterized in that: in T the sub-device, each sub-device can be realized the free from error in theory five equilibrium of any distance location number is respectively P ₁, P ₂..., P _i..., P _t(P _iFor greater than 1 limited nature number), and separate work between each sub-device, then the device after the combination can obtain distance is carried out P ₁, P ₂..., P _i..., P _tThe five equilibrium locator value distance of least common multiple long.Compound mode can be layering compound mode or not stratified compound mode or layering and not stratified compound mode of mixing.

2. the layering compound mode in the claim 1 is characterized in that: T complete " positional number and " sub-device makes up, and each height device all has relative motion and standstill two parts, comprises respectively to experience target and receptor; If comprising the part of receptor (or experiencing target) is relative stationary part, then another part is the relative motion part; Its syntagmatic is for realizing P ₁Relative stationary part in the child device of five equilibrium location number is installed on realizes P ₂On the relative motion part of the child device of five equilibrium location number, while P ₂Relative stationary part be installed on P ₃Relative motion part on, the rest may be inferred, until P _tThe fixed installation of the relative distance of relative stationary part; The orientation that relative stationary part is installed on the relative motion part does not have strict demand, is principle with the operate as normal that does not influence each sub-device.In five equilibrium when location,, each sub-device can move in certain sequence, also can move simultaneously, but each sub-device is after finishing required separately five equilibrium location, and its relative static and motion two parts relative fixed is motionless; This device can obtain distance P ₁, P ₂..., P _tThe five equilibrium locator value of least common multiple; If P ₁, P ₂..., P _tIn between wantonly 2 numbers except that 1 no common divisor, then can obtain distance $\underset{i=1}{\overset{t}{\mathrm{\Π}}}{P}_i$ The five equilibrium locator value of number; Because the adjustment amount Δ L=(M of a branch location such as complete " positional number and " dividing positioner _j-M ₀)/(k*n) (isodisperse that n installs for this reason); If the adjusting range of each sub-device Δ L is respectively W in the composite set ₁, W ₂..., W _t, then as L/ (P ₁, P ₂..., P _tLeast common multiple)≤ $\underset{i=1}{\overset{t}{\mathrm{\Σ}}}{W}_1$ The time, can pass through one or more sub-devices, use corresponding separately Δ L ₁=(M _j-Mo)/(k*P _i) (i=1 wherein ..., t) the adjustment amount formula is to the continuous five equilibrium of branch value distance progress row such as minimum distance location.

3. the not stratified compound mode in the claim 1 is characterized in that: T sub-device can carry out P to distance respectively ₁, P ₂, P _tThe five equilibrium location of number; The target of experiencing of each sub-device is installed on the same object that moves on the distance, and its location point requires to be distributed on the distance respectively separately; And the receptor of each sub-device is installed near the distance, and distance maintains static relatively, its location point at the range on the distance also requires to be distributed in respectively separately on the distance, each receptor and experience the installation requirement of target, identical with single complete " positional number and " dividing positioner.Each sub-device carries out mutually noninterfere to the five equilibrium location of distance is separate successively.Work as P ₁, P ₂..., P _tIn, between any two numbers except that 1 no common divisor, can obtain distance $\underset{i=1}{\overset{t}{\mathrm{\Π}}}{P}_1$ The score value such as grade of number;

If each sub-device is selected same receptor and experience target for use, and 2 receptors are all arranged in each sub-device and experience target shared, or shared 2 receptors of per 2 sub-devices and experience target, this moment, composite set can be used $\left(\underset{i=1}{\overset{t}{\mathrm{\Σ}}}{P}_i\right)-(T-2)$ Individual receptor and $\underset{i=1}{\overset{t}{\mathrm{\Π}}}{P}_i+1$ Individually experience target $(\underset{i=1}{\overset{t}{\mathrm{\Π}}}{P}_i+1$ The individual location point of experiencing target is distributed on the distance) or use $\left(\underset{i=1}{\overset{t}{\mathrm{\Σ}}}{P}_i\right)$ -(T-2) individual experience target and $\underset{i=1}{\overset{t}{\mathrm{\Π}}}{P}_i+1$ Individual receptor $($ $\underset{i=1}{\overset{t}{\mathrm{\Π}}}{P}_i+1$ Individual receptor requires to be distributed on the distance at the location point of range on the distance) at this moment, can guarantee the sub-device of whichever after finishing required separately five equilibrium location, all have the target of impression to locate in the receptor range in other sub-devices for proceeding five equilibrium to distance.

In not stratified compound mode, no matter receptor with experience target and have or not shared situation, as L/ (P ₁, P ₂..., P _tLeast common multiple)≤W _ImaxThe time, (W _ImaxBe each maximum in the adjusting range of device Δ L in the not stratified composite set), then can utilize the adjustment formula of Δ L to determine L/ (P ₁, P ₂..., P _tLeast common multiple) position (being the each point on the distance between each Along ent) of each point in the distance; Thereby realize the continuous five equilibrium location on the distance whole process.In the practical application, adopt L/ (P ₁, P ₂..., P _tLeast common multiple)≤W _Imin, (W _IminBe the minimum of a value in the adjusting range of each sub-device Δ L in the not stratified composite set) can easier realization be located by the continuous five equilibrium of score values such as distance minimum;

4. the hybrid combining mode in the claim 1 is that layering composite set and not stratified composite set are made up again, it is characterized in that: H five equilibrium location number is respectively P ₁, P ₂..., P _hLayering composite set and U five equilibrium location number of sub-device be respectively Q ₁, Q ₂..., Q _uThe not stratified composite set of sub-device when carrying out hybrid combining (wherein H, U is the limited nature number greater than 1), not stratified composite set can be used as a sub-device in the layering composite set, promptly be equivalent to H+1 sub-device and carry out the layering combination; Like this, the hybrid combining device had both had the feature and the function of layering composite set, also, it has feature and function that not stratified composite set has concurrently because of having the sub-device of not stratified combination, just receptor slightly changes with the number of experiencing target, and at this moment: the number of hybrid combining device receptor is the number sum of the number and the not stratified composite set receptor of layering composite set receptor; The hybrid combining device is experienced the number of target and is experienced the number of target and the number sum that not stratified composite set is experienced target for the layering composite set;

5. by claim 1, for the branch positioning requirements such as big figure that are difficult for realizing, adopt big figure therewith close can be respectively S by the individual five equilibrium location number of D (D for greater than 1 limited nature number) ₁..., S _dThe sub-device five equilibrium location number of being realized that combines substitute, and consequent error is utilized formula L/ (S ₁..., S _dLeast common multiple)-L/ (need substitute number) calculates (L should be datum), realizing distance S ₁..., S _dFive equilibrium when location of keeping count of of least common multiple, with this error by S ₁..., S _dIn arbitrary sub-device bear or by S ₁..., S _dIn a few height devices share, utilize the corresponding formula Δ L that adjusts _j=(M _j-M _o)/(S _i* k) eliminated, still can be guaranteed free from error in theory five equilibrium location.

6. each height device is made up along distance L serial arrangement, each height device have separately experience target or receptor, and can independently realize the five equilibrium location (corresponding separately distance is the part of distance L) of corresponding distance separately, it is characterized in that: T sub-device can be respectively to corresponding distance L separately ₁, L ₂..., L _tCarry out P ₁, P ₂..., P _tThe five equilibrium location of number; The target of experiencing of each sub-device is installed on the same object that moves on the distance L, and its location point requires to be distributed in respectively separately distance L and goes up and (experience target with L as sub-device 1 ₁/ P ₁Spacing be distributed on the distance L, in the device 2 experience target with L ₂/ P ₂Spacing be distributed on the distance L); And the receptor of each sub-device is installed near the distance, and distance maintains static relatively, its location point at the range on the distance also requires to be distributed in respectively separately on the corresponding separately distance, each receptor and experience the installation requirement of target, identical with single complete " positional number and " dividing positioner.Then after the combination, can realize that the distance value is (L ₁/ P ₁) * j ₁+ (L ₂/ P ₂) * j ₂+ ... + (L _t/ P _t) * j _tAccurate location (j ₁, j ₂... j _tBe sub-device 1,2 ..., score value L such as t actual needs ₁/ P ₁, L ₂-P ₂..., L _t/ P _tInteger multiple).

7. by claim 1,,, promptly be calibration then to circle to the five equilibrium location of circumference when distance is refered in particular to bowlder.

8. by claim 3, if several receptor close proximity, range also has more when overlapping, under not influencing separately under the condition of branch positioning function such as sub-device, an available receptor substitutes a plurality of, a plurality of targets of experiencing can occur this moment in the range of a receptor, this moment is available to have the receptor of a plurality of " positional number " function of sensing output simultaneously or experience mode such as target by control and sense corresponding " positional number " of experiencing target; In like manner, experience the target close proximity, experience target and substitute a plurality of targets of experiencing, measure required separately " positional number " for then available one by a plurality of receptors when a plurality of.

9. claim 3, in 9 the location point of the receptor of regulation range on any distance uniform and experience target location point uniformly all do not have a high uniform position accuracy demand, requirement with single complete " positional number with " dividing positioner is the same, as long as each sub-device is when each the measurement, all have in each receptor range and experience target and get final product accordingly, promptly satisfy | Δ f _Maxi|+| Δ g _Maxi|≤R _MiniGet final product, for $\underset{i=1}{\overset{t}{\mathrm{\Π}}}{P}_i$ When the individual location point of experiencing target is distributed on the distance, Δ g _MaxiGet maximum Δ g wherein _Max, for $\underset{i=1}{\overset{t}{\mathrm{\Π}}}\mathrm{Pi}$ Individual receptor requires to be distributed in the situation of sealing on the distance, Δ f at the location point of range on the distance _MaxiGet maximum Δ f wherein _Max

10. in composite set, export a plurality of functions of experiencing " positional number " of target under the same state, then can replace a plurality of receptors with a receptor but have a receptor sensing as if receptor; Can be if experience target for one by a plurality of receptor sensings under the same state, and output " positional number " separately, then can experience target and replace a plurality of targets of experiencing with one; Receptor and experience the number of target in the corresponding composite set, the number that deducts superseded receptor in this device again and experience target are the used receptor of composite set reality and experience the number of target.If experiencing target is replaced, also replaced in like manner with receptor.

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