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Transcription:

OMPONNT NRY ORIN PROUT ithin the family of antivibration products, we are introducing a line of NRY-ORIN PROUT. NRL In order to lend full understanding of the importance and capabilities of this product line, we will deal with the concept of NRY as well as present some practical examples of several applications. The examples will also include calculations of the forces involved. nergy-absorbing components are often used as parts of a system or a device itself or, alternatively, they might be used as a safety measure to absorb runaway energy in case of failure of a component or a system. ome numerical examples are addressing both types of these applications. NRY body is said to possess energy if it has the ability to perform work. This ability can be the result of its position or its condition. The position of the body produces POTNTIL NRY, whereas if the body is moving with some velocity it possesses energy of motion or KINTI NRY. The formulas governing energy are as follows: Kinetic nergy of a body in translation = m 2 2 where m is mass: m = is velocity in in./sec or ft./sec is weight in lb. g is acceleration of gravity 32.16 ft./sec 2 or 386 in./sec 2 Kinetic nergy of a body in rotation = I o 2...lb. in. or lb. ft. where I o is the mass moment of inertia about the axis of rotation in lb. in.sec 2 or lb. ft.sec 2 is angular velocity in rad/sec or 1/sec Potential nergy...lb. in. or lb. ft. g...lb. sec2 /in. or lb. sec 2 /ft. = h...lb. in. or lb. ft. where is weight in lb. h is height of free fall in in. or ft. If the velocity at the end of the free fall is needed, it can be found from: umper Technical Information T I O N 6 = 2gh...in./sec or ft./sec The total energy is considered the sum total of all energies involved, and this is the amount which is available to perform work. In the examples which follow, simplified formulas have been developed and used to provide a very close approximation. This enables the application of units which are most commonly used. The nomenclature used in these examples are as follows: 1 2 3 4 Kinetic energy (lb. in.) ork (propelling force) nergy (lb. in.) Total energy ( 1 + 2 lb. in.) Total energy ( 1 + 2 ) Per our (lb. in.) ffective weight (lb.) eight of object (lb.) elocity (ft./sec) Propelling force (lb.) ycles per hour P Motor energy (horsepower) T Torque (lb. in.) g cceleration due to gravity (ft./sec 2 ) alling height including stroke of shock absorber (in.) hock absorber stroke (in.) t eceleration time (sec) a ecelertaion (ft./sec 2 ) u riction (coefficient) R hock absorber mounting radius (in.) K istance from pivot to center of gravity (in.) elocity at the shock absorber (ft./sec) q Reaction force (lb.) The actual nature of the application and the availability of space will determine which type of umper will be used. In order to facilitate the choice, the following graph is given which compares the orce vs. Travel characteristics of the different types. 10P81-R05 OR vs TRL UR 10P80-01 700 600 500 10P80-102 10P80-102 10P81-R05 400 200 OR (lb.) 10P80-01 This drawing shows size comparison of identical capacity bumpers from each product group. The graph at the right shows comparable performance characteristics. 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 TRL (in.) ontinued on the next page 6-2

OMPONNT 1. eight with no propelling force umper Technical Information XMPL 1 = (0.2) () ( 2 ) 4 = ( 1 ) () = = 500 lb. = 6 fps = 500/hour 1 = (0.2) (500) (6 2 ) = 3600 lb. in. 4 = (3600) (500) = 1,800,000 lb. in./hour T I O N 6 2. eight with propelling force 1 = (0.2) () ( 2 ) 2 = () () 3 = 1 + 2 4 = ( 3 ) () = 1 + 2 (0.2) ( 2 ) = 800 lb. = 5 fps = lb. = 250/hour = 3 in. 1 2 3 4 = (0.2) (800) (5 2 ) = 4000 lb. in. = () (3) = 900 lb. in. = 4000 + 900 = 4900 lb. in. = (4900) (250) = 1,225,000 lb. in./hour = 4000 + 900 = 980 lb. (0.2) (5 2 ) 3. Motor driven weight P 1 = (0.2) () ( 2 ) = 1700 lb. 1 = (0.2) (1700) (4 2 ) = 5440 lb. in. 2 = (1375) (P) () = 4 fps 2 = (1375) (8) (4) = 11,000 lb. in. 4 3 = 1 + 2 P = 8 3 = 5440 + 11,000 = 16,440 lb. in. 4 = ( 3 ) () = /hour 4 = (16,440) () = 1,644,000 lb. in./hour = 1 + 2 = 4 in. = 5440 + 11,000 = 5138 lb. (0.2) ( 2 ) (0.2) (4 2 ) 4. winging weight with torque K R T 1 = (0.2) () ( 2 ) = (T) () 2 R 3 = 1 + 2 4 = ( 3 ) () = () (R ) K = 1 + 2 (0.2) ( 2 ) = 350 lb. = 3 fps T = 1500 lb. in. R = 20 in. K = 30 in. = 250/hour = 1 in. 1 2 3 4 = (0.2) (350) (3 2 ) = 630 lb. in. = (1500) (1) = 75 lb. in. 20 = 630 + 75 = 705 lb. in. = (705) (250) = 176,250 lb. in./hour = (3) (20) = 2 fps 30 = 630 + 75 = 881 lb. (0.2) (2 2 ) 5. ree-falling weight 1 = () (-) 2 = () () 3 = () () 4 = ( 3 ) () = 5 (-) = () () - = 900 lb. = 20 in. = /hour = 4 in. 1 2 3 4 = (900) (20-4) = 14,400 lb. in. = (900) (4) = 3600 lb. in. = (900) (20) = 18,000 lb. in. = (18,000) () = 1,800,000 lb. in. = (5) (20-4) = 8.9 fps = (900) (20) = 1125 lb. 20-4 5.1 eight without additional propelling force M 1 = () (M) (sin ) = 900 lb. 1 = (900) (75) (sin ) = 17,470 lb. in. 2 = () () (sin ) M = 75 in. 2 = (900) (4) (sin ) = 932 lb. in. 3 = (M+) () IN () = 4 in. 3 = 17,470 + 932 = 18,402 lb. in. 4 = ( 3 ) () = /hour 4 = (18,402) = 1,840,200 lb. in. = () (M+) = 15 = (900) (75 + 4) = 948 lb. M 75 5.2 (alculate as in x. 5) ree-swinging weight 6-3 ontinued on the next page

OMPONNT 6. Turntable with propelling force (horizontal or vertical) R T T R T umper Technical Information XMPL 1 = (0.1) () ( T ) 2 = 2000 lb. 1 = (0.1) (2000) (3.5) 2 = 2450 lb. in. 2 = (T) () R T = 50 in. 2 = (15,000) (2) = 938 lb. in. R 32 3 = 1 + 2 R = 32 in. 3 = 2450 + 938 = 3388 lb. in. 4 = ( 3 ) () T = 3.5 fps 4 = (3388) () = 338,800 lb. in./hour = (R ) ( T ) T = 15,000 lb. in. = (32) (3.5) = 2.24 fps R T 50 = 1 + 2 = /hour = 2450 + 938 = 3376 lb. 2 0.2 0.2 2.24 2 = 2 in. T I O N 6 7. Turn over R R R R T 1 = () ( R ) 2 = 700 lb. 1 = (700) (5 2 ) = 1167 lb. in. 15 15 2 = (T) () R R = 60 in. 2 = (25,000) (1) = 833 lb. in. R 30 3 = 1 + 2 R = 30 in. 3 = 1167 + 833 = 2000 lb. in. 4 = ( 3 ) () R = 5 fps 4 = (2000) (700) = 1,400,000 lb. in./hour = (R ) ( R ) T = 25,000 lb. in. = (30) (5) = 2.5 fps 60 R R = 1 + 2 = 700/hour = 1167 + 833 = 1600 lb. 0.2 ( 2 ) (0.2) (2.5 2 ) = 1 in. 8. winging weight with propelling force R R R R R 1 = () ( R ) 2 = 90 lb. 1 = (90) (6.5) 2 = 254 lb. in. 15 15 2 = (T) () = () (R) () R = 6.5 fps 2 = (150) (24) (1) = 120 lb. in. R R 30 3 = 1 + 2 = 150 lb. 3 = 254 + 120 = 374 lb. in. 4 = ( 3 ) () R R = 50 in. 4 = (374) (1800) = 673,000 lb. in./hour = (R ) ( R ) R = 24 in. = (30) (6.5) = 3.9 fps R R 50 = 1 + 2 R = 30 in. = 254 + 120 = 123 lb. 0.2 ( 2 ) = 1800/hour (0.2) (3.9 2 ) = 1 in. 9. escending weight at controlled speed 1 = (0.2) () ( 2 ) = 40,000 lb. 1 = (0.2) (40,000) (2.5 2 ) = 50,000 lb. in. 2 = () () = 2.5 fps 2 = (40,000) (5) = 200,000 lb. in. 3 = 1 + 2 = 5 hour 3 = 50,000 + 200,000 = 250,000 lb. in. 4 = ( 3 ) () = 5 in. 4 = (250,000) (5) = 1,250,000 lb. in./hour = 1 + 2 = 50,000 + 200,000 = 200,000 lb. (0.2) ( 2 ) (0.2) (2.5 2 ) Reaction force (pounds) q or all examples q = (1.5)( 3) topping time (seconds) or all examples eceleration (feet per second 2 ) or all examples t = a = (6) ( ) 2 (6) ( ) NOT: = elocity at impact with shock absorber 6-4

umpers xial Type igh-load O M P O N N T MTRIL: igh-performance lastomer-polyester OUTOOR NIRONMNT I-PRORMN ILY INRT TO MOT MIL N LURINT New OPRTIN TMPRTUR RN: -40 to +120 (-40 to +48.9 ) 10P80-01 10P80-02 10P80-03 10P80-05 10P80-07 10P80-08 10P80-10 10P80-11 10P80-12 10P80-14 nergy apacity lb. in. (kgf. m.) (1.15) 250 (2.88) 400 (4.61) 700 (8.06) 1 (12.67) 1400 (16.13) 2000 (23.04) 2500 (28.8) 0 (34.56) 4000 (46.08) Max. orce 700 (318) 1200 (544) 2000 (907) 2500 (1134) 3 (1497) 3800 (1724) 5000 (2268) 5 (2404) 6 (2767) 7500 (3402) ree eight.76 (19.3) 1.01 (25.7) 1.18 (30) 1.37 (34.8) 1.62 (41.1) 1.77 (45) 2.02 (51.3) 2.11 (53.6) 2.26 (57.4) 2.54 (64.5) ree.85 (21.6) 1.11 (28.2) 1.35 (34.3) 1.55 (39.4) 1.83 (46.5) 1.96 (49.8) 2.25 (57.2) 2.43 (61.7) 2.54 (64.5) 2.81 (71.4) rench ole.41 (10.4).56 (14.2).66 (16.8).80 (20.3).93 (23.6) 1.02 (25.9) 1.16 (29.5) 1.23 (31.2) 1.30 (33) 1.41 (35.8) 10P80-01 10P80-02 10P80-03 10P80-05 10P80-07 10P80-08 10P80-10 10P80-11 10P80-12 10P80-14 ase iameter.75 (19.1).98 (24.9) 1.16 (29.5) 1.35 (34.3) 1.61 (40.9) 1.71 (43.4) 1.97 (50) 2.08 (52.8) 2.23 (56.6) 2.46 (62.5) Mounting ole.31 (7.9).42 (10.7).55 (14).81 (20.6) eight.40 (10.2).53 (13.5).63 (16).73 (18.5).86 (21.8).92 (23.4) 1.06 (26.9) 1.12 (28.4) 1.19 (30.2) 1.32 (33.5) 1.07 (27.2) 1.43 (36.3) 1.70 (43.2) 2.00 (50.8) 2.33 (59.2) 2.51 (63.8) 2.86 (72.6) 3.05 (77.5) 3.22 (81.8) 3.58 (90.9) ase Thickness.13 (3.3).16 (4.1).19 (4.8).22 (5.6).26 (6.6).28 (7.1).32 (8.1).34 (8.6).36 (9.1).40 (10.2) eight oz. (g).16 (4.5).37 (10.5).62 (17.6) 1.00 (28.3) 1.70 (48.2) 2.00 (56.7) 3.10 (87.9) 3.70 (104.9) 4.60 (130.4) 6.10 (172.9) ee page 6-2 for technical information. 6-5 Rev: 8-24-10

OMPONNT umpers Radial Type MTRIL: igh-performance lastomer-polyester OUTOOR NIRONMNT I-PRORMN ILY INRT TO MOT MIL N LURINT New T I O N 6 TMPRTUR RN: -40 to +120 (-40 to +48.9 ) 10P81-R01 10P81-R02 10P81-R03 10P81-R04 10P81-R05 10P81-R06 10P81-R07 nergy apacity lb. in. (kgf. m.) 10 (0.12) 20 (0.23) 30 (0.35) 50 (0.58) (1.15) 200 (2.30) (3.46) Max. orce 75 (34) (45) 150 (68) 200 (91) (136) 475 (215) 600 (272) ree eight.97 (24.6) 1.25 (31.8) 1.47 (37.3) 1.72 (43.7) 2.17 (55.1) 2.31 (58.7) 2.65 (67.3) ree 1.12 (28.4) 1.44 (36.6) 1.67 (42.4) 1.95 (49.5) 2.48 (63) 2.61 (66.3) 3.00 (76.2) rench ole.38 (9.5).44 (11.1) idth Mounting ole eight ase Thickness eight oz. (g) 10P81-R01 10P81-R02 10P81-R03 10P81-R04 10P81-R05 10P81-R06 10P81-R07.52 (13.2).76 (19.3).79 (20.1) 1.36 (34.5) 1.70 (43.2) 1.82 (46.2) 1.80 (45.7).22 (5.6).28 (7.1).32 (8.1).41 (10.4).48 (12.2).37 (9.4).47 (11.9).74 (18.8).85 (21.6) 1.51 (38.4) 1.96 (49.8) 2.27 (57.7) 2.68 (68.1) 3.43 (87.1) 3.47 (88.1) 4.03 (102.4).15 (3.8).20 (5.1).23 (5.8).16 (4.1).26 (6.6).35 (8.9).40 (10.2).24 (6.8).48 (13.6).60 (17).90 (25.5) 1.80 (51) 2.80 (79.4) 3.60 (102.1) ee page 6-2 for technical information. 6-6

umpers xial Type Low-Load O M P O N N T MTRIL: igh-performance lastomer-polyester OUTOOR NIRONMNT I-PRORMN ILY INRT TO MOT MIL N LURINT New OPRTIN TMPRTUR RN: -40 to +120 (-40 to +48.9 ) 10P80-101 10P80-102 10P80-103 10P80-105 10P80-107 10P80-108 10P80-109 10P80-111 nergy apacity lb. in. (kgf. m.) 50 (0.58) (1.15) 200 (2.3) (3.46) 550 (6.34) 700 (8.06) 800 (9.22) 1200 (13.82) Max. orce (136) 400 (181) 600 (272) 900 (408) 1 (590) 1600 (726) 1900 (862) 2200 (998) ree eight.81 (20.6) 1.09 (27.7) 1.27 (32.3) 1.48 (37.6) 1.75 (44.5) 1.91 (48.5) 2.03 (51.6) 2.33 (59.2) ree.79 (20.1) 1.02 (25.9) 1.24 (31.5) 1.46 (37.1) 1.68 (42.7) 1.88 (47.8) 1.99 (50.5) 2.28 (57.9) rench ole.48 (12.2).63 (16).77 (19.6).82 (20.8).98 (24.9) 1.09 (27.7) 1.12 (28.4) 1.30 (33) 10P80-101 10P80-102 10P80-103 10P80-105 10P80-107 10P80-108 10P80-109 10P80-111 ase iameter.73 (18.5).98 (24.9) 1.18 (30) 1.35 (34.3) 1.58 (40.1) 1.73 (43.9) 1.85 (47) 2.09 (53.1) Mounting ole.31 (7.9).56 (14.2) eight.40 (10.2).53 (13.5).63 (16).73 (18.5).86 (21.8).92 (23.4).99 (25.1) 1.12 (28.4) 1.08 (27.4) 1.45 (36.8) 1.72 (43.7) 1.99 (50.5) 2.35 (59.7) 2.53 (64.3) 2.71 (68.8) 3.07 (78) ase Thickness.12 (3).16 (4.1).19 (4.8).22 (5.6).26 (6.6).28 (7.1).30 (7.6).35 (8.9) eight oz. (g).14 (4).32 (9.1).56 (15.9) 1.00 (28.3) 1.50 (42.5) 2.10 (59.5) 2.50 (70.9) 3.50 (99.2) ee page 6-2 for technical information. 6-7 Rev: 8-24-10

OMPONNT MTRIL: asteners teel, Zinc Plated Isolator Natural Rubber 5/16-24 UN TR umpers onical OR LO O 44 TO 62 POUN (20 to 28.1 kgf) T I O N 6 1-1/2 I. (38.1) 1 I. (25.4) 3/4 (19.1) 1-1/4 (31.8) NOT: imensions in ( ) are mm. 10Z 7-1020 10Z 7-1020 10Z 7-1020 10Z 7-1020 Recommended Maximum Load tatic 44 (20) 49 (22.2) 56 (25.4) 62 (28.1) Occasional ynamic 80 (36.3) (45.4) 122 (55.3) 145 (65.8) 6-8

OMPONNT umpers onical MTRIL: asteners teel, Zinc Plated OR LO O 20 TO 28 kgf (44 TO 62 lb.) Isolator Natural Rubber M8 New T I O N 6 38 (1.50) Ø25 (.98) 13.5 (.53) NOT: imensions in ( ) are inch. 32 (1.26) Metric Recommended Maximum Load tatic kgf (lb.) Occasional ynamic kgf (lb.) 10Z 7M1020M 10Z 7M1020M 10Z 7M1020M 10Z 7M1020M 20 (44) 22.2 (49) 25.4 (56) 28.1 (62) 36.3 (80) 45.4 () 55.3 (122) 65.8 (145) id You Know?...That substantial quantity discounts are available for all products? 6-9

OMPONNT MTRIL: Isolator Natural Rubber ase teel umpers Rectangular 9 (228.6) 2 X (50.8) 2 (50.8) 1-1/2 (38.1) OR LO TO 4700 POUN (2132 kgf) T I O N 6 Y 13 (330.2) X 4 (101.6) Y 1/4 (6.4) 1-3/4 I. (44.5) TION X-X 11/16 I. (17.5) TION Y-Y NOT: imensions in ( ) are mm. * Recommended Maximum Loads tatic Occasional ynamic 10Z 7-1 4700 (2132) 10 (4990) *To be discontinued when present stock is depleted. MTRIL: Isolator Natural Rubber ase teel 1-1/4 (31.8) OR LO TO 1200 POUN (544 kgf) X X 2-1/2 (63.5) 7/16 I. (11.1) 6-3/4 (171.5) 4-3/4 (120.7) 1 (25.4) 3/16 (4.8) 1-1/16 (27) 1-1/4 (31.8) 5-7/8 (149.2) TION X-X NOT: imensions in ( ) are mm. 7/16 (11.1) * 10Z 7-1011 Recommended Maximum Loads tatic Occasional ynamic 1200 (544) 2150 (975) *To be discontinued when present stock is depleted. 6-11

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