CN2626683Y - Single layer structure micromotion workbench with six degrees of freedom - Google Patents

Single layer structure micromotion workbench with six degrees of freedom Download PDF

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Publication number
CN2626683Y
CN2626683Y CN 03258964 CN03258964U CN2626683Y CN 2626683 Y CN2626683 Y CN 2626683Y CN 03258964 CN03258964 CN 03258964 CN 03258964 U CN03258964 U CN 03258964U CN 2626683 Y CN2626683 Y CN 2626683Y
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workbench
layer structure
bar
delta
sin
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CN 03258964
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余晓芬
俞建卫
王永红
黄其圣
魏玉凤
邓辉
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Hefei University of Technology
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Hefei University of Technology
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Abstract

The utility model relates to a single-layer structure and six degrees of freedom fine motion workbench, which is characterized in that a single-layer structure is adopted and the connection is done by piezoelectric drive rods in a way of eight symmetric rods, wherein the outer ends of the piezoelectric drive rods A-a, B-b, C-c, D-d, E-e, F-f, G-g, H-h are connected with the mounting plate through the flexible hinges A, B, C, D, E, F, G, H, and the inner ends are connected with the fine motion platform through the flexible hinges a, b, c, d, e, f, g, h. Through parallel control of the length change of the eight piezoelectric drive rods, the multi-variant movement of the single-layer structure and six degrees of freedom fine motion workbench is realized. The parallel control method used in the utility model can control the movement of the workbench at a nanometer precision, thus realizing nanometer precision measurement and precision positioning.

Description

The single layer structure six-freedom micro displacement worktable
Technical field:
The utility model relates to a kind of single layer structure six-freedom micro displacement worktable that is used for nanoscale accurate measurement and precision positioning.
Background technology:
At present, microtechnology has become extremely vital emerging high-tech area, and micro-electro-mechanical device and system move towards market from the laboratory, forms new industry.Be the nano measurement technology of measuring object also has been subjected to academia from the twentieth century end generally attention with the microdevice, the method for measuring with nanometer resolution is deep and ripe day by day, and develops out some measuring elements and instrument successively.The multiple degrees of freedom workbench that has worked out generally adopts sandwich construction or many bars structure.On control mode, the motion of each free degree of sandwich construction workbench mostly is separate, and the free degree of motion is many more, and the number of plies of workbench is many more, thereby causes the complexity of structure and be difficult to microminiaturization, and it is also longer that substep is adjusted the needed time.Therefore the micro displacement workbench of this version is one degree of freedom or two frees degree, is used for micrometering measuring appratus or little processing equipment.The motion of each free degree of many bars arrangement works platform is correlated with, and adjusts also flexibly relatively, but its control model is complicated, and structure is difficult to realize microminiaturized, and precision does not often satisfy the requirement of nano measurement yet.
Summary of the invention:
Technical problem to be solved in the utility model is to avoid existing weak point in the above-mentioned prior art, and a kind of single layer structure six-freedom micro displacement worktable is provided, and is used to realize accurate measurement and precision positioning.
The technical scheme that the utility model technical solution problem is adopted is:
The design feature of the utility model six-freedom micro displacement worktable is: adopt single layer structure, connect with eight bar symmetrical manner by the Piezoelectric Driving bar, the outer end of Piezoelectric Driving bar A-a, B-b, C-c, D-d, E-e, F-f, G-g, H-h links to each other with fixed station by flexible hinge A, B, C, D, E, F, G, H, and the inner links to each other with micropositioner by flexible hinge a, b, c, d, e, f, g, h.
The utility model adopts the parallel control mode, by the length variations of eight Piezoelectric Driving bars of parallel control, the synchronized movement of a plurality of frees degree of workbench is carried out, and the independence that is controlled to be of each drive rod combines with local correlation.
The Piezoelectric Driving bar that is adopted in the utility model is flexible under applied voltage, can change the length of piezoelectric actuator by control applied voltage value.Utilize the variation of eight symmetrically arranged Piezoelectric Driving bars on length,, can realize the motion of the six degree of freedom of micropositioner in conjunction with the distortion of flexible hinge.Whole workbench is except the flexible hinge place produces distortion, and all the other all regard rigid body as.
Compared with the prior art, the beneficial effects of the utility model are embodied in:
1, the utility model six-freedom worktable adopts single layer structure, its with respect to sandwich construction have volume little, simple in structure, be easy to assemble, advantage that cumulative errors are little.
2, the utility model adopts Piezoelectric Driving bar eight pole pairs to claim structure, the independence that is controlled to be of each drive rod combines with local correlation, promptly realize the drive rod difference that each single dof mobility of workbench need be controlled, control two bars that have, control four bars that have, multifreedom motion is realized by each single dof mobility of Synchronization Control.This structure can be simplified driving control model, the six bar arrangement works platforms that are used for the robot motion are relatively controlled simply and are easy to improve kinematic accuracy and realize microminiaturized, the motion parallel control of each piezoelectric actuator, the motion of each free degree can be carried out synchronously, can reduce the required time of workbench orientation adjustment greatly like this, improve and measure speed and efficient.
3, to adopt flexible hinge be elastic guide to the utility model micropositioner, and having does not have machinery friction, no gap, autokinesis advantages of higher, is driver with the piezoelectric ceramics, and compact conformation, is controlled simply micrometric displacement resolution ratio height, and does not have heating problem.This just makes workbench be easier to realize microminiaturized.
4, the utility model can be by setting up the kinematic accuracy of motion model analytical work platform, simplify the error bring in several nanometer range by model itself, cause that by processing, alignment error the flexible hinge error of coordinate also can influence kinematic accuracy, and the relative hinge error of coordinate of working table movement error has very big drawdown ratio, and therefore this error effect can be very little.Can reach nanoscale by the kinematic accuracy of calculating micropositioner, visible workbench can be realized nano level measurement and location.
The drawing explanation:
Fig. 1 is the utility model micropositioner moving link coordinate system schematic diagram.
Fig. 2 (a) and (b), (c), (d), (e), (f) are the utility model workbench single dof mobility schematic diagram.
Fig. 3 is the utility model Piezoelectric Driving bar and flexible hinge mated condition structural representation.
Fig. 4 is the utility model structural representation.
The specific embodiment:
Referring to Fig. 1, Fig. 3 and Fig. 4, present embodiment adopts the Piezoelectric Driving bar, connect with eight bar symmetrical manner, the outer end of Piezoelectric Driving bar A-a, B-b, C-c, D-d, E-e, F-f, G-g, H-h links to each other with fixed station by flexible hinge A, B, C, D, E, F, G, H, and the inner links to each other with micropositioner by flexible hinge a, b, c, d, e, f, g, h.
In concrete the enforcement, as shown in Figure 1, shown in Figure 4, present embodiment is that the center that constitutes face with flexible hinge A, B, C, D fixed endpoint is initial point O, the plane at flexible hinge A, B, C, D fixed endpoint place is in the fixed coordinate system set up of XOY coordinate surface, the initial position of Piezoelectric Driving bar A-a, C-c and B-b, D-d is parallel with Y-axis or X-axis respectively, Piezoelectric Driving bar E-e, F-f, G-g, the H-h initial position is parallel with the Z axle, each hinge point relative coordinate initial point that links to each other with micropositioner is symmetrically distributed, and eight bar initial lengths equate.
Fig. 3 illustrates, and the Piezoelectric Driving bar that is adopted in this enforcement is a Piezoelectric Ceramic bar 1, and Piezoelectric Ceramic bar 1 extends under applied voltage, changes the length of drive rod 1 by control applied voltage value.During micropositioner 2 motions, strain only takes place in flexible hinge 3 positions, other parts all are considered to rigid body.
In the present embodiment, adopt the parallel control mode, this parallel control mode is the length variations by eight Piezoelectric Driving bars of parallel control, and the synchronized movement of a plurality of frees degree of workbench is carried out.
Be specially: length variations amount and the momental relation of each free degree of workbench with eight drive rods are set up the working table movement model; Realize the motion of a plurality of frees degree of workbench synchronously according to the length of model control Piezoelectric Driving bar.
Foundation about the working table movement model:
Show the motion of the various single-degree-of-freedoms of workbench respectively at Fig. 2 (a), 2 (b), 2 (c), 2 (d), 2 (e), 2 (f).
During following instruction book degree-of-freedom micro, the relation of worktable displacement and single drive rod deflection.
With drive rod A-a is example.Micro displacement workbench is along directions X translation Δ X (Fig. 2 (a)), then a point coordinates value (Xa, Ya Za) are changed to:
X ' a=X a+ Δ X, Y ' a=Y a, Z ' a=Z a, drive rod A-a length variations is:
L′ 2 (A-a)＝(X′ a-X A) 2+(Y′ a-Y A) 2+(Z′ a-Z A) 2＝L 2 (A-a)+2(X a-X A)ΔX+(ΔX) 2。
In like manner, micro displacement workbench has along Y direction translational Δ Y (Fig. 2 (b)):
X′ a＝X a，Y′ a＝Y a+ΔY，Z′ a＝Z a，
L′ 2 (A-a)＝L 2 (A-a)+2(Y a-Y A)ΔY+(ΔY) 2。
Micro displacement workbench has along Z direction translational Δ Z (Fig. 2 (c)):
X′ a＝X a，Y′ a＝Y a，Z′ a＝Z a+ΔZ，
L′ 2 (A-a)＝L 2 (A-a)+2(Z a-Z A)ΔZ+(ΔZ) 2。
Besides bright workbench rotates around fixed coordinate system, and establishing the torque of a point is Ra.
The micro displacement workbench list rotates Δ α (Fig. 2 (d)) around X-axis, then R a = Y a 2 + Z a 2 , Y a＝R acosθZ a＝R asinθ。
The a point coordinates (Xa, Ya Za) are changed to:
X′ a＝X a，
Y′ a＝R acos(θ+Δα)＝R acosθcosΔα-R asinθsin?Δα＝Y acosΔα-Z asinΔα，
Z′ a＝R asin(θ+Δα)＝R asinθcosΔα+R acosθsinΔα＝Z acosΔα+Y asinΔα，
L ′ 2 ( A - a ) = ( X ′ a - X A ) 2 + ( Y ′ a - Y A ) 2 + ( Z ′ a - Z A ) 2
L 2 ( A - a ) + 4 ( Y a Y A + Z a Z A ) sin 2 ( Δα 2 ) + 2 ( Z a Y A - Y a Z A ) sin Δα .
In like manner, workbench rotates Δ β (Fig. 2 (e)) around Y-axis merely, has:
X′ a＝X acosΔβ-Z asinΔβ，
Y′ a＝Y a，
Z′ a＝Z acosΔβ+X asinΔβ，
L ′ 2 ( A - A ) = L 2 ( A - a ) + 4 ( X a X A + Z a Z A ) sin 2 ( Δβ 2 ) + 2 ( Z a X A - X a Z A ) sin Δβ
Workbench rotates Δ γ (Fig. 2 (f)) around the Z axle merely, has:
X′ a＝X acosΔγ-Y asinΔγ，
Y′ a＝Y acosΔγ+X asinΔγ
Z′ a＝Z a
L ′ 2 ( A - a ) = L 2 ( A - a ) + 4 ( X a X A + Y a Y A ) sin 2 ( Δγ 2 ) + 2 ( Y a X A - X a Y A ) sin Δγ
The derivation method of the length variations formula of eight bars is identical with drive rod A-a.
Since Δ X, Δ Y, Δ Z, Δ α, Δ β, Δ γ is very little, so can be approximated as follows:
ΔX 2→0，ΔY 2→0，ΔZ 2→0，sinΔα→Δα，sinΔβ→Δβ，sinΔγ→Δγ，
cosΔα→1，cos?Δβ→1，cosΔγ→1
Make Δ L (A-a)=L ' (A-a)-L (A-a), then (Δ L) 2→ 0 can get the single-degree-of-freedom fine motion time, and following relation is arranged between drive rod A-a length variations amount and the worktable displacement amount:
L (A-a)ΔL (A-a)＝(X a-X A)ΔX，
L (A-a)ΔL (A-a)＝(Y a-Y A)ΔY，
L (A-a)ΔL (A-a)＝(Z a-Z A)ΔZ，
L (A-a)ΔL (A-a)＝(Z aY A-Y aZ A)Δα，
L (A-a)ΔL (A-a)＝(Z aX A-X aZ A)Δβ，
L (A-a)ΔL (A-a)＝(Y aX A-X aY A)Δγ。
During the multiple degrees of freedom fine motion, the relation of single drive rod length variations amount and worktable displacement amount
If fine motion is Δ X → Δ Y → Δ Z → Δ α → Δ β → Δ γ in proper order, be example still with the A-a bar.
X′ a(1)＝X a+ΔX X′ a(2)＝X a+ΔX X′ a(3)＝X a+ΔX
Y′ a(1)＝Y a Y′ a(2)＝Y a+ΔY Y′ a(3)＝Y a+ΔY
Z′ a(1)＝Z a Z′ a(2)＝Z a Z′ a(3)＝Z a+ΔZ
X′ a(4)＝X a+ΔX
Y′ a(4)＝(Y a+ΔY)cos(Δα)-(Z a+ΔZ)sin(Δα)
Z′ a(4)＝(Z a+ΔZ)cos(Δα)+(Y a+ΔY)sin(Δα)
X′ a(5)＝(X a+ΔX)cos(Δβ)-(Z a+ΔZ)cos(Δα)sin(Δβ)-(Y a+ΔY)sin(Δα)sin(Δβ)
Y′ a(5)＝(Y a+ΔY)cos(Δα)-(Z a+ΔZ)sin(Δα)
Z′ a(5)＝(Z a+ΔZ)cos(Δα)cos(Δβ)+(Y a+ΔY)sin(Δα)cos(Δβ)+(X a+ΔX)sin(Δβ)
X′ a(6)＝(X a+ΔX)cos(Δβ)cos(Δγ)-(Z a+ΔZ)cos(Δα)sin(Δβ)cos(Δγ)
-(Y a+ΔY)sin(Δα)sin(Δβ)cos(Δγ)-(Y a+ΔY)cos(Δα)sin(Δγ)
+(Z a+ΔZ)sin(Δα)sin(Δγ)
Y′ a(6)＝(Y a+ΔY)cos(Δα)cos(Δγ)-(Z a+ΔZ)sin(Δα)cos(Δγ)
+(X a+ΔX)cos(Δβ)sin(Δγ)-(Z a+ΔZ)cos(Δα)sin(Δβ)sin(Δγ)
-(Y a+ΔY)sin(Δα)sin(Δβ)sin(Δγ)
Z′ a(6)＝(Z a+ΔZ)cos(Δα)cos(Δβ)+(Y a+ΔY)sin(Δα)cos(Δβ)+(X a+ΔX)sin(Δβ)
L′ 2 (A-a)＝(X a′ (6)-X A) 2+(Y a′ (6)-Y A)2+(Z a′ (6)-Z A) 2
≈L 2 (A-a)+2(X a-X A)ΔX+2(Y a-Y A)ΔY+2(Z a-Z A)ΔZ
+2(Z aY A-Y aZ A)Δα+2(Z aX A-X aZ A)Δβ+2(Y aX A-X aY A)Δγ
The derivation of equation method of other drive rod is the same.Can demonstrate,prove, the fine motion order does not influence conclusion.
During parallel moving, the Mathematical Modeling of drive rod Deformation control
The formula of deriving is previously concluded, can be got the relation between each bar distortion and each degree-of-freedom micro:
ΔL ( A - a ) ΔL ( B - b ) ΔL ( C - c ) ΔL ( D - d ) Δ L ( E - e ) ΔL ( F - f ) ΔL ( G - g ) ΔL ( H - h ) = X a - X A Y a - Y A Z a - Z A Z a Y A - Y a Z A Z a X A - X a Z A Y a X A - X a Y A X b - X B Y b - Y B Z b - Z B Z b Y B - Y b Z B Z b X B - X b Z B Y b X B - X b Y B X c - X C Y c - Y C Z c - Z C Z c Y C - Y c Z C Z c X C - X c Z C Y c X C - X c Y C X d - X D Y d - Y D Z d - Z D Z d Y D - Y d Z D Z d X D - X d Z D Y d X D - X d Y D X e - X E Y e - Y E Z e - Z E Z e Y E - Y e Z E Z e X E - X e Z E Y e X E - X e Y E X f - X F Y f - Y F Z f - Z F Z f Y F - Y f Z F Z f X F - X f Z F Y f X F - X f Y F X g - X G Y g - Y G Z g - Z G Z g Y G - Y g Z G Z g X G - X g Z G Y g X G - X g Y G X h - X H Y h - Y H Z h - Z H Z h Y H - Y h Z H Z h X H - X h Z h Y h X H - X h Y H × ΔX ΔY ΔZ Δα Δβ Δγ × 1 L
This is when each bar is parallel to move, the Mathematical Modeling of driver control.If length, the position of each bar are perfect condition, then following formula can be simplified to:
ΔL ( A - a ) ΔL ( B - b ) ΔL ( C - c ) ΔL ( D - d ) ΔL ( E - e ) ΔL ( F - f ) ΔL ( G - g ) ΔL ( H - h ) = - L 0 0 0 0 Y a L 0 - L 0 0 0 - X b L L 0 0 0 0 - Y c L 0 L 0 0 0 X d L 0 0 L Y e L X e L 0 0 0 L Y f L X f L 0 0 0 L Y g L X g L 0 0 0 L Y h L X h L 0 × ΔX ΔY ΔZ Δα Δβ Δγ × 1 L
This driving control model is derived under perfect condition, realize as can be seen that by model the drive rod that each single free degree motion of workbench will be controlled has nothing in common with each other, control two bars that have, control four bars that have, will realize that the workbench multifreedom motion will each single dof mobility of Synchronization Control, the independence that is controlled to be of each drive rod combines with local correlation.X will control drive rod A-a and C-c along directions X translation Δ, Y will control drive rod B-b and D-d along Y direction translational Δ, Z will control drive rod E-e along Z direction translational Δ, F-f, G-g, H-h, rotate Δ α around X-axis merely and will control drive rod F-f and H-h, rotate Δ β around Y-axis merely and want drive rod E-e and G-g, rotate Δ γ around the Z axle merely and will control drive rod A-a, B-b, C-c, D-d, the multivariant motion of workbench will be to the control of being correlated with of each drive rod, each drive rod length variations amount has nothing in common with each other when realizing the micropositioner multifreedom motion, single layer structure six-freedom micro displacement worktable concurrency control method, exactly according to the amount of exercise Δ X of above-mentioned model by each free degree that will realize, Δ Y, Δ Z, Δ α, Δ β, Δ γ calculates the length variations amount of each Piezoelectric Driving bar, the relevant control of motion to piezoelectric actuator, the motion of each free degree can be carried out synchronously, reaches the purpose to the workbench parallel control.Can significantly reduce the required time of workbench orientation adjustment by this concurrency control method, improve and measure speed and efficient.

Claims (2)

1, single layer structure six-freedom micro displacement worktable, it is characterized in that adopting single layer structure, connect with eight bar symmetrical manner by the Piezoelectric Driving bar, the outer end of Piezoelectric Driving bar A-a, B-b, C-c, D-d, E-e, F-f, G-g, H-h links to each other with fixed station by flexible hinge A, B, C, D, E, F, G, H, and the inner links to each other with micropositioner by flexible hinge a, b, c, d, e, f, g, h.
2, six-freedom micro displacement worktable according to claim 1, it is characterized in that with flexible hinge A, B, C, the center that the D fixed endpoint constitutes face is initial point O, flexible hinge A, B, C, the plane at D fixed endpoint place is in the fixed coordinate system set up of XOY coordinate surface, Piezoelectric Driving bar A-a, C-c and pressure-driven bar B-b, the initial position of D-d is parallel with X-axis with Y-axis respectively, Piezoelectric Driving bar E-e, F-f, G-g, the H-h initial position is parallel with the Z axle, each hinge point relative coordinate initial point that links to each other with micropositioner is symmetrically distributed, and eight bar initial lengths equate.
CN 03258964 2003-06-17 2003-06-17 Single layer structure micromotion workbench with six degrees of freedom Expired - Fee Related CN2626683Y (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102054933A (en) * 2010-10-22 2011-05-11 宁波大学 Parallel piezoelectric micromotion platform
CN107785054A (en) * 2017-11-10 2018-03-09 大连交通大学 A kind of Space Curved-Beam six-degree of freedom micro-displacement workbench

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102054933A (en) * 2010-10-22 2011-05-11 宁波大学 Parallel piezoelectric micromotion platform
CN102054933B (en) * 2010-10-22 2013-06-19 宁波大学 Parallel piezoelectric micromotion platform
CN107785054A (en) * 2017-11-10 2018-03-09 大连交通大学 A kind of Space Curved-Beam six-degree of freedom micro-displacement workbench
CN107785054B (en) * 2017-11-10 2023-02-21 大连交通大学 Six-degree-of-freedom micro-displacement workbench for spatial curved beam

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