Features of the LM Guide

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Features of the Functions Required for Linear Guide Surface Large permissible load Highly rigid in all directions High positioning repeatability Running accuracy can be obtained easily High accuracy can be maintained over a long period Smooth motion with no clearance Superbly high speed Easy maintenance Can be used in various environments Features of the Large permissible load and high rigidity Accuracy averaging effect by absorbing mounting surface error Ideal four raceway, circular-arc groove, two point contact structure Superb error-absorbing capability with the DF design Low friction coefficient Wide array of options (QZ lubricator, Laminated contact scraper LaCS, etc.) As a result, the following features are achieved. Easy maintenance Improved productivity of the machine Substantial energy savings Low total cost Higher accuracy of the machine Higher efficiency in machine design A1-4

Features of the Large Permissible Load and High Rigidity [Large Permissible Load] The has raceway grooves with a radius almost equal to the ball radius, which is significantly different from the linear bushing. As shown in Fig.1, which compares size between the LM Guide and the linear bushing with similar basic dynamic load ratings, the is much smaller than the linear bushing, indicating that the allows a significantly compact design. The reason for this space saving is the greater difference in permissible load between the R-groove contact structure and the surface contact structure. The R-groove contact structure (radius: 52% of the ball radius) can bear a load per ball 13 times greater than the surface contact structure. Since service life is proportional to the cube of the permissible load, this increased ball-bearing load translates into a service life that is approximately 2,200 longer than the linear bushing. Housing 170 Shaft Linear bushing Mounting base 165 LM block LM rail 34 24 model SSR15XW Linear Bushing model LM80 OP Basic dynamic load rating: 14.7 kn Basic dynamic load rating: 7.35 kn Fig.1 Comparison between the and the Linear Bushing Table1 Load Capacity per Ball (P and P1) Permissible contact surface pressure: 4,200 MPa R-groove (P) Flat surface (P1) P/P1 φ 3.175 (1/8 ) 0.90 kn 0.07 kn 13 φ 4.763 (3/16 ) 2.03 kn 0.16 kn 13 φ 6.350 (1/4 ) 3.61 kn 0.28 kn 13 φ 7.938 (5/16 ) 5.64 kn 0.44 kn 13 φ 11.906 (15/32 ) 12.68 kn 0.98 kn 13 P P1 R-groove Flat surface Fig.2 Load Capacity per Ball A1-5

[High Rigidity] The is capable of bearing vertical and horizontal loads. Additionally, due to the circular-arc groove design, it is capable of carrying a preload as necessary to increase its rigidity. When compared with a feed screw shaft system and a spindle in rigidity, the guide surface using an has higher rigidity. Example of comparing static rigidity between the, a feed screw shaft system and a spindle (vertical machining center with the main shaft motor of 7.5 kw) [Components] : SNR45LC/C0 (C0 clearance: preload = 8.05kN) Ball Screw: BNFN4010-5/G0 (G0 clearance: preload = 2.64kN) Spindle: general-purpose cutting spindle Components Table2 Comparison of Static Rigidity Unit: N/μm X-axis direction Y-axis direction Z-axis direction 8700 (radial) 2110 6730 (reverse radial) Ball screw 330 Spindle 250 250 280 Note) The rigidity of the feed screw shaft system includes rigidity of the shaft end support bearing. Spindle Ball Screw X Z Y Fig.3 A1-6

Features of the High Precision of Motion [Small lost motion] The is provided with an ideal rolling mechanism. Therefore, the difference between dynamic and static friction is minimal and lost motion hardly occurs. Position 30 20 μm 10 1μm 14μm Position 30 20 μm 10-30 -20-10 0 10 20 30 Number of commands (pulse) 10-30 -20-10 10 0 10 20 30 Number of commands (pulse) 20 20 30 30 model HSR45 Square slide + Turcite (Measurements are taken with the single-axis table loaded with a 500-kg weight) Fig.4 Comparison of Lost Motion between the and a Slide Guide Type (HSR45) Square slide + turcite Clearance Table3 Lost Motion Comparison As per JIS B 6330 Test method 10mm/min 500mm/min 4000mm/min Unit: μm Based on minimum unit feeding C1 clearance (see table below) 2.3 5.3 3.9 0 C0 clearance (see table below) 3.6 4.4 3.1 1 0.02mm 10.7 15 14.1 14 0.005mm 8.7 13.1 12.1 13 Radial clearance of the Unit: μm Symbol C1 C0 Radial clearance 25 to 10 40 to 25 A1-7

[High running accuracy] Use of the allows you to achieve high running accuracy. [Measurement method] 150st 30 SHS25LC m t m 200 250 640 200 KR4610A Pitching accuracy Yawing accuracy m 0.6 0 20 40 60 80 100 120 140 160 mm Fig.5 Dynamic Accuracy of a Single-axis Table A1-8

Features of the [High accuracy maintained over a long period] As the employs an ideal rolling mechanism, wear is negligible and high precision is maintained for long periods of time. As shown in Fig.6, when the operates under both a preload and a normal load, more than 90% of the preload remains even after running 2,000 km. 800 1000 W 1000 W M [Conditions] Model No. : HSR65LA3SSC0 + 2565LP- Radial clearance : C0 (preload: 15.7 kn) Stroke : 1,050mm Speed : 15 m/min (stops 5 sec at both ends) Acceleration/decelelation time in rapid motion : 300 ms (acceleration: α = 0.833 m/s 2 ) Mass : 6000kg Drive : Ball Screws Lubrication : Lithium soap-based grease No. 2 (greased every 100 km) Fig.6 Condition Remaining Preload (%) 100 50 0 500 1000 1500 2000 Distance traveled (km) 91.5 Fig.7 Distance Traveled and Remaining Preload A1-9

Accuracy Averaging Effect by Absorbing Mounting Surface Error The contains highly spherical balls and has a constrained structure with no clearance. In addition, it uses LM rails in parallel on multiple axes to form a guide system with multiple-axis configuration. Thus, the is capable of absorbing misalignment in straightness, flatness or parallelism that would occur in the machining of the base to which the is to be mounted or in the installation of the by averaging these errors. The magnitude of the averaging effect varies according to the length or size of the misalignment, the preload applied on the and the number of axes in the multiple-axis configuration. When misalignment is given to one of the LM rails of the table as shown in Fig.8, the magnitude of misalignment and the actual dynamic accuracy of the table (straightness in the horizontal direction) are as shown in Fig.9. By applying such characteristics obtained with the averaging effect, you can easily establish a guide system with high precision of motion. SHS30 Straight-edge Electric micrometer Table Base 265 200 Single-axis actuator 200 310 685 Fig.8 293 303 Straightness accuracy (mm) Misalignment (mm) 0.02 0.01 0 0.01 0.02 0.002 0.001 0 0.001 0.002 Rail 2 0 100 200 300 400 500 600 700 0.01 Rail 1 Rail 1 Rail length (mm) Misalignment curve (vertical) 0.368μm 0 50 100 150 200 250 Stroke (mm) Displacement of the table (vertical) Fig.9 Straightness accuracy (mm) Misalignment (mm) 0.02 0.01 0 0.02 0.002 0.001 0 0.001 Rail 2 0 100 200 300 400 500 600 700 Rail length (mm) Misalignment curve (horizontal) 0.601μm 0 50 100 150 200 250 0.002 Stroke (mm) Displacement of the table (horizontal) A1-10

Features of the Even on a roughly milled mounting surface, the drastically increases running accuracy of the top face of the table. [Example of Installation] When comparing the mounting surface accuracy (a) and the table running accuracy (b), the results are : Vertical 92.5µm 15µm = 1/6 Horizontal 28µm 4µm = 1/7 Table4 Actual Measurement of Mounting-Surface Accuracy Unit: μm Direction Vertical Bottom surface Horizontal Side surface Mounting Straightness surface A 80 B 105 C 40 D 16 Average (a) 92.5 28 16μm 40μm 105μm Bottom surface B 80μm Side surface D Side surface C Bottom surface A Fig.10 Surface Accuracy of the Mounting Base (Milled Surface Only) 1 2 3 4 5 6 7 8 Fig.11 Running Accuracy After the Is Mounted Table5 Actual Measurement of Running Accuracy on the Table (Based on Measurement in Fig.10 and Fig.11) Unit: μm Direction Measurement point 1 2 3 4 5 6 7 8 Straightness (b) Vertical 0 +2 +8 +13 +15 +9 +5 0 15 Horizontal 0 +1 +2 +3 +2 +2 1 0 4 A1-11

Easy Maintenance Unlike with sliding guides, the does not incur abnormal wear. As a result, sliding surfaces do not need to be reconditioned, and precision needs not be altered. Regarding lubrication, sliding guides require forced circulation of a large amount of lubricant so as to maintain an oil film on the sliding surfaces, whereas the only needs periodical replenishing of a small amount of grease or lubricant. Maintenance is that simple. This also helps keep the work environment clean. Improved Productivity of the Machine Since the is superb in high speed, productivity of the machine is improved. Machine using the Table6 Examples of Using the in High-speed Applications Place where the is used Speed (m/s) Model No. Durability test machine X axis 5.0 SSR25XW Pick-up robot X axis 2.0 SSR25XW Z axis 3.0 SSR15XW Injection molding machine Automatic unloading unit 2.2 SHS30LR Glass cutter Cutter sliding unit 3.7 SSR25XW XY table X-Y axis 2.3 RSR15WV A1-12

Features of the Substantial Energy Savings As shown in Table7, the has a substantial energy saving effect. Table7 Comparative Data on Sliding and Rolling Characteristics Machine Specifications Type of machine Overall length overall width Single-axis surface grinding machine (sliding guide) 13m 3.2m Three-axis surface grinding machine (rolling guide) 12.6m 2.6m Total mass 17000kg 16000kg Table mass 5000kg 5000kg Grinding area 0.7m 5m 0.7m 5m Table guide Rolling through V-V guide Rolling through installation No. of grinding stone axes Single axis (5.5 kw) Three axes (5.5 kw + 3.7 kw x 2) Grinding capacity: 3 times greater Table Drive Specifications Motor used 38.05kW 3.7kW 10.3 Drive hydraulic pressure Bore diameterφ160 1.2MPa Bore diameter φ 65 0.7MPa Thrust 23600N 2270N 10.4 Electric Power consumption Drive hydraulic pressure oil consumption Ratio 38kWH 3.7kWH 10.3 400l /year 250l /year 1.6 Lubricant consumption 60 l /year (oil) 3.6 l /year (grease) 16.7 A1-13

Low Total Cost Compared with a sliding guide, the is easier to assemble and does not require highly skilled technicians to perform the adjustment work. Thus, the assembly man-hours for the are reduced, and machines and systems incorporating the can be produced at lower cost. The figure below shows an example of difference in the procedure of assembling a machining center between using siding guides and using s. Normally, with a sliding guide, the surface on which the guide is installed must be given a very smooth finish by grinding. However, the can offer high precision even if the surface is milled or planed. Using the thus cuts down on machining man-hours and lowers machining costs as a whole. [Assembly Procedure for a Machining Center] Using s Using Square Guides (Sliding Guides) Machine base Table and saddle Machine base Table and saddle Machining Machining Machining Machining Accuracy (straightness and torsion) measurement with a temporarily mounted Mounting base, table and saddle Accuracy measurement Accuracy (straightness and torsion) measurement with a square guide temporarily mounted Scraping base mounting surface Accuracy measurement Corrective scraping Degreasing machined surfaces Coating surfaces with special resin Drying in thermally controlled chamber Scraping by mating base with table and saddle Mounting base, table and saddle Accuracy measurement When extremely high precision is not required (e.g., running accuracy), the can be attached to the steel plate even if the black scale on it is not removed. A1-14

Features of the Ideal Four Raceway, Circular-Arc Groove, Two-Point Contact Structure The has a self-adjusting capability that competitors' products do not have. This feature is achieved with an ideal four raceway, circular-arc groove, two-point contact structure. [Comparison of Characteristics between the and Similar Products] : Four Raceway, Circular-arc Groove, Two-point Contact Structure Model HSR Contact width d2 1 Rotation axi Other Product: Two-row, Gothic-arch Groove Four Point Contact Structure Two-row Gothic-arch groove product Rotation axis Rotation axi Contact width d1 d2 d2 d1 Contact width R B A Ball rotation axis R: Radius of curvature Contact width d2 d1 R Contact angle A R Contact angle B Ball rotation axis R: Radius of curvature Differential slip Differential slip B A d1 d2 π d1 B π d2 Fig.12 A As indicated in Fig.12 and Fig.13, when the ball rotates one revolution, the ball slips by the difference between the circumference of the diameter of inner surface (πd1) and that of the outer contact diameter (πd2). (This slip is called differential slip.) If the difference is large, the ball rotates while slipping, the friction coefficient increases more than 10 times and the friction resistance steeply increases. B A d1 π d1 d2 B Fig.13 π d2 A A1-15

Four Raceway, Circular-Arc Groove, Two-Point Contact Structure Since the ball contacts the groove at two points in the load direction as shown in Fig.12 and Fig.13 on A1-15 even under a preload or a normal load, the difference between d1 and d2 is small and the differential slip is minimized to allow smooth rolling motion. In the ideal two-point contact structure, four rows of circular arc grooves are given appropriate contact angles. With this structure, a light distortion of the mounting surface would be absorbed within the LM block due to elastic deformation of the balls and moving of the contact points to allow unforced, smooth motion. This eliminates the need for a robust mounting base with high rigidity and accuracy for machinery such as a conveyance system. With the two-point contact, even if a relatively large preload is applied, the rolling resistance does not abnormally increase and high rigidity is obtained. Since the curvature radius of the ball raceway is 51 to 52% of the ball diameter, a large rated load can be obtained. Smooth Motion Accuracy and Rigidity of the Mounting Surface Rigidity Load Rating Difference in Rigidity Two-Row, Gothic-Arch Groove, Four Point Contact Structure The difference between d1 and d2 in the contact area is large as shown in Fig.12 and Fig.13 on A1-15. Therefore, if any of the following occurs, the ball will generate differential slip, causing friction almost as large as sliding resistance and shortening the service as a result of abnormal friction. (1) A preload is applied. (2) A lateral load is applied. (3) The mounting parallelism between the two axes is poor. With the Gothic-arch groove product, each ball contacts the groove at four points, preventing itself from being elastically deformed and the contact points from moving (i.e., no self-adjusting capability). Therefore, even a slight distortion of the mounting surface or an accuracy error of the rail bed cannot be absorbed and smooth motion cannot be achieved. Accordingly, it is necessary to machine a highly rigid mounting base with high precision and mount a high precision rail. Since differential slip occurs due to the four-point contact, a sufficient preload cannot be applied and high rigidity cannot be obtained. Since the curvature radius of the gothic arch groove has to be 55 to 60% of the ball diameter, the rated load is reduced to approx. 50% of that of the circular arc groove. As shown in Fig.14, the rigidity widely varies according to the difference in curvature radius or difference in preload. Curvature radius and rigidity Comparison of rigidity by curvature (per ball) 10 8 6 4 2 Ball diameter (mm) R=0.6Da R=0.55Da R=0.52Da 0 2 4 6 8 10 12 Rigidity (N/μm) Fig.14 Difference in Service Life Preload and deflection Displacement curve of HSR30 60 0 clearance Magnitude of the preload: 5kN 10 20 Applied load (kn) Since the load rating of the gothic arch groove is reduced to approx. 50% of that of the circular arc groove, the service life also decreases to 87.5%. Deflection (Rigidity) (μm) 40 20 0 A1-16

Features of the [Accuracy Error of the Mounting Surface and Test Data on Rolling Resistance] The difference between the contact structures translates into a rolling resistance. In the gothic arch groove contact structure, each ball contacts at four points and differential slip or spinning occurs if a preload is applied to increase rigidity or an error in the mounting precision is large. This sharply increases the rolling resistance and causes abnormal wear in an early stage. The following are test data obtained by comparing an having the four raceway, circular-arc groove two-point contact structure and a product having the two-row, Gothic-arch, four-point contact structure. [Sample] (1) SR30W (radial type) 2 sets HSR35A (4-way equal-load type) 2 sets (2) Two-row Gothic-arch groove product Type with dimensions similar to HSR30 2 sets Data 1: Preload and rolling resistance [Conditions] Radial clearance: ±0μm Without seal Without lubrication Load: table mass of 30 kg When a preload is applied, the rolling resistance of the Gothic-arch groove product steeply increases and differential slip occurs. Even under a preload, the rolling resistance of the does not increase. 90 80 70 60 Gothic-arch groove product 50 40 30 20 10 0-5 -10-15 -20-25 -30-35 -40-45 Magnitude of the preload (μm) Rolling resistance (N) HSR35A SR30W A1-17

Data 2: Error in parallelism between two axes and rolling resistance As shown in the Fig.15, part of the rails mounted in parallel is parallelly displaced and the rolling resistance at that point is measured. With the Gothic-arch groove product, the rolling resistance is 34 N when the parallelistic error is 0.03 mm and 62 N when the error is 0.04 mm. These resistances are equivalent to the slip friction coefficients, indicating that the balls are in sliding contact with the groove. P Rolling resistance (N) 60 50 Gothic-arch groove product 40 30 20 10 HSR35A SR30W 0 0.02 0.04 0.06 0.08 0.10 0.12 Parallel displacement: P (mm) (Parallelistic error) Fig.15 Data 3: Difference between the levels of the right and left rails and rolling resistance The bottom of either rail is displaced by distance S so that there is a level difference between the two axes, and then rolling resistance is measured. If there is a level difference between the right and left rails, a moment acts on the LM block, and in the case of the Gothic-arch groove, spinning occurs. Even if the level difference between the two rails is as great as 0.3/200 mm, the absorbs the error. This indicates that the LM Guide can operate normally even when such errors are present. S 200 Rolling resistance (N) 60 50 40 30 20 10 0 Gothic-arch groove product HSR35A SR30W 0.1 0.2 0.3 0.4 0.5 Height displacement: S (mm) (Level displacement) A1-18

Superb Error-Absorbing Capability with the DF Design Features of the Since the has a contact structure similar to the front-to-front mount of angular ball bearings, it has superb self-adjusting capability. Angular Ball Bearings Mounted Front-to-front (DF type) DF Type Four-row Angular Contact () Angular Ball Bearings Mounted Back-to-back (DB type) Four-row Gothic-arch Contact An LM ball guide mounted on a plane receives a moment (M) due to an error in flatness or in level or a deflection of the table. Therefore, it is essential for the guide to have self-adjusting capability. Model HSR Similar Product of a Competitor M Table M Block M M Mounting error Mounting error Distance from the application point Deflection Deflection Distance from the application point Distance from the application point Deflection Deflection Distance from the application point Since the distance from the application point of the Since the distance from the application point of the bearing is small, the internal load generated from a bearing is large, the internal load generated from a mounting error is small and the self-adjusting capability mounting error is large and the self-adjusting capability is large. is small. With an LM ball guide having angular ball bearings mounted back-to-back, if there is an error in flatness or a deflection in the table, the internal load applied to the block is approx. 6 times greater than that of the front-tofront mount structure and the service life is much shorter. In addition, the fluctuation in sliding resistance is greater. A1-19