International Journal of Pure and Applied Mathematics Volume 119 No. 12 2018, 10393-10402 ISSN: 1314-3395 (on-line version) url: http://www.ijpam.eu Special Issue ijpam.eu DESIGN AND FABRICATION OF AUTOMATIC DIFFERENTIAL WITH LOCK 1Subhadra ghosh, 2E.Raja, 3P. Naveenchandran,4D.Mohankumar 1B.Tech student,2,4Assistant Professor, 3Professor, Department of Automobile Engineering, BIST,BIHER, Bharath University, Chennai. [email protected]

ABSTRACT A routine differential that is non-bolted differential dependably supplies near equivalent torque to every side. With a differential in the event that one is held stationary, the partner wheel turns at twice its ordinary speed. A differential locking framework presented here can be locked in or withdrawn either physically or consequently, according to the conditions or a sensor based framework can be created that w sick sense the distinction in speed or slowing down of one wheel to bolt the differential by sliding a canine ring to get occupied with planetary apparatus spike shaft so that both will have same footing. On the off chance that the distinction in the speed of driven and moving wheels is experienced then the differential is controlled to bolt.

controlled mechanical framework, which when 1. INTRODUCTION secured permit no distinction speed between the two wheels on the pivot[13-19]. One problem with an automotive differential is that if one wheel is held They utilize an instrument for permitting stationary, the counterpart wheel turns at the to be bolted in respect to each other, twice its normal speed as can be seen by bringing on both wheels to turn at a similar speed examining the complete scheme of paying little heed to which has more footing; this automobile differential[7-12]. This can be is e quivalent to viably bypassing the differential problematic when one wheel does not have apparatuses totally. Other locking frameworks enough traction, such as when it is in snow may not even u se differential apparatuses yet or mud. The wheel without traction will spin rather drive one wheel or both relying upon without providing traction and the opposite torque esteem and bearing. Automat ic wheel will stay still so that the car does not mechanical lockers do take into consideration move. This is the reason for a device known some separation under certain heap conditions, as a "limited slip differential" or "traction while a selectable locker regularly couples both control"[1-6]. axles with a strong mechanical association like a spool when locked in[20-29].

The solution to the above problem is

to have a differential locking system which can b e engaged or disengaged either manually or automatically, as per the

conditions or a sensor based system can be developed that will sense the difference in CURRENT PRACTICES speed or stalling of one wheel to lock the differential so that both wheels will have Katsumi Ito[3]has suggested that a same traction. programmed differential locking vehicle having steer capable front and back wheels[30-34], which incorporates selectors for selecting a control method of vehicle, an actuator for working a differential locking system, and a gate for sending a control signal to the actuator in A locking differential, for example, response to a signal received from selectors. ones usin g differential riggings in typical The gate is adapted to send a differential utilize however utilizing air or electrically locking signal to the actuator upon receipt of a 10393 International Journal of Pure and Applied Mathematics Special Issue

parallel mode signal from the . selectors. In response to the differentail The present innovation identifies with a locking signal the actuator actuates car vehicle having wheels operable about wheel differential locking mechanism. Since the shaft in which locking mechanical assembly is differential revolutions of wheels are limited given so that the wheels on the both side of the at a time of parallel steering, the vehicle is vehicle will work at basically a similar speed. capable of accurate course revision and alterations without slipping[43-49]. Contraption are given to counteract slippage or . turning of the determined wheels. Normally, the Alfred Sigl[4] has discussed in his vehicle has a securing sort differential which the patent work that to enhance footing which locking activity of the differential can be can be connected by the wheels of the controlled based the current vehicle working vehicle, and to consequently draws in a condition[35-42]. locking system or locks a differential desirably additionally the direction or 3. CONCEPT DESIGN AND DEVELOPMENT soundness of driving and street holding is

guaranteed by likewise controlling torque being connected to the wheels. Quickly a

control unit is given to control drive torque connected by the motor to the wheels. This

wheel control is combined with a locking differential. Engagement of bolt of locking differential to bolt the wheels of a hub

together is instructed by control unit[50-52].

[7] KunihikoSuzuki discussed a theory that a four wheel drive system of a vehicle has center differential between four wheels and rear wheels and a means for restraining

or loc king the center differential. The four

wheel drive combined with control system for automatically locking the center differential when the difference bet ween the average rotational speed of the right and left front wheels and average rotational speed of right andd left rear wheels becomes equal to Fig. 1 illustrates a cross-section view of the or larger than predetermined value differential and a propeller shaft in the rear drive housing;

Fig. 2 illustrates a view taken on line II- II of one of the side gears;

The operation of the locking means for the differential will be described in the following paragraph The differential lock on the The plurality of pin 51 is received differential 1 is mechanically operated by within the plurality of peripheral grooves 56 the controlling linkage 36. The lever37 so that the side gear 16 is locked to the moves the shift rail 39 to a detent position in housing 13 and the differential rotates as a which the detent 40 engages the recess 60 or unit. Wh en the pinion gear 34 drives the 61. In the position as shown in FIG. 1, the ring gear 32, the drive shafts 10 and 12 rotate synchronously.

When the lever 37 is moved in a clock wise direction the detent 40 is received within the recess 60 and the collar 43 moves in the left-hand direction. As the differential is locked. clutch collar 43 moves in the left-ha nd

direction it is positioned by the detent 40. In 10394 International Journal of Pure and Applied Mathematics Special Issue

this position the plurality of pins 51 are

completely retracted from the annular

recesses 56 in the rear face of the side gear RH/LH Wheel Shaft 16. The pins, however, are never retracted

from the openings 53 maintain their axial The left-hand raise hub which is additionally alignment in parallel relationship to the axis called LH yield shaft turns on the common of the movement of the clutch collar. pivot with the right-hand raise hub or RH yield toward the back

The axial movement of the clutch collar 43 is coincidental with the axis 11 of

the re ar drive axles 10 and 12. When the pins 51 are withdrawn from their engaging

position with the peripheral grooves 56 in the side gear 16, the differential is released. In this position, the side gears 16 and 1 8 can freely rotate relative to each other in

driving their respective . Fig 5: Dog Ring

MECHANICS OF DIFFERENTIAL LOCKING SYSTEM

The dog ring is provided with a single spike for engagement. Shifter mechanism moves the dog ring toward right and the dog teeth engage in the spike shaft slot. Presently the dog ring is provided with a single spike for engagement.

Fig 6: Planetary Gear spike Shaft

Fig 3. Illustrates the front view and the top view of the differential

10395 International Journal of Pure and Applied Mathematics Special Issue

When one of the wheels (e. g. RH The differential is shown in the rear axle wheel) goes in a pit or elusive condition housing. The rear axle housing includes a due to misfortune in footing (erosion flange supporting the bearing retainer. The amongst street and wheel). Wheel shaft bearing retainer supports the differential quits turning. bearing assembly and a rear axle bearing assembly and the differential bearing • As an outcome the LH wheel shaft assembly. accelerates to double the speed vehicle levels can't create enough footing to leave the pit.

• The vicinity sensor detects this drop

in speed or movement and through the

electronic transfer worked the DC

engine.

• DC motor pinion drives the rack and there by the shifter mechanism to the right

Fig4: Wheel Shaft

Spike shaft is given openings on the highest point of it. Engagement will bolt the spike shaft in this manner the ordinary differential activities stops and both the wheel shafts get occupied with drive and hence approach power is given to either wheels.

WORKING OF PROPOSED DIFFERENTIAL LOCKING SYSTEM

10396 International Journal of Pure and Applied Mathematics Special Issue

DESIGN CONSIDERATION From PSG Design Data/ Manufacturer Catalogue

In our endeavour to outline a Differential Locking System we have embraced an exceptionally cautious approach, the aggregate

plan work has been separated into two sections predominantly;

• System outline • Mechanical outline

Framework configuration predominantly worries with the different physical imperatives and ergonomics, space necessities, course of action of different parts on the fundamental

edge of machine no of controls position of these

controls simplicity of upkeep extent of further change; tallness of m/c from ground and so on. Fig7: Fabricated Differential Gear Locking In Mechanical outline the segments are System with proximity sensor classifications in two sections.

• Design parts DEFORMATION AND STRESS • Parts to be obtained. CONCENTRATION OF COMPONENTS

For configuration parts detail configuration is done and measurements in this Stress analysis is done by using ANSYS software to obtain Equivalent (Von mises) way got are contrasted with next most Stress and deformation astounding measurement which are promptly accessible in market this streamlines the gathering and after generation overhauling

work.

Table: List of Component

Fig8: Meshing, Displacement and Stress concentration of Dog Ring

MATERIAL PROCUREMENT

Material is procured as per raw material specification and part quantity. Part process planning is done to decide the process of manufacture and appropriate machine for the Fig9: Meshing, Displacement and Stress same. concentration of Spike Shaft

General Material Used EN24- Alloy Steel EN9- Plain Carbon Steel MS-Mild Steel STD- Standard Parts Selected

10397 International Journal of Pure and Applied Mathematics Special Issue

For testing reason we take low torque shaft as i/p shaft then by utilizing engine and • Torque v/s Speed: From above belt input movement is given. At flip side i.e. at diagrams we can reason that with high torque shaft different burdens are diminishing in speed of yield wheel connected and change in rpm is noted as needs shaft torque is expanding. Torque and be. The Testing of differential locking system is carried out in order to find the performance speed are contrarily corresponding. characteristics for that the observations which Henceforth the minute closeness sensor sense the lessening in the speed, the are obtained used to plot the graphs. Graphs of Torque, Power, Efficiency v/s Speed locking differential will attempt to give same torque on both wheel shaft

• Power v/s Speed: With expanding speed, control likewise increments up as far as possible then there will be same yield control that power is known as evaluated power. Above plotted diagrams demonstrates diminishing nature as speed is over the evaluated speed.

• Efficiency v/s Speed: Graph indicates expanding proficiency up to constrain with speed additionally increment in speed won't impact as power produced will be consistent

CONCLUSION

In this examination work, testing is finished with the view to remark on the utility of the outlined drive for given application. The accompanying conclusions are drawn from the past parts.

• The set-up created demonstrates programmed engagement of the differential when the loss of footing condition is experienced in this manner approving the capacity of the programmed method of the differential locking framework.

• The set-up demonstrates the manual abrogate utilizing push catch framework for self-loader method of differential locking.

10398 International Journal of Pure and Applied Mathematics Special Issue

Applied Mathematics, V-116, I-

16 Special Issue, PP-43-44, 2017 11. Ramya, N., Muthukumar, M., REFERENCES On coloring of 4-regular graphs, International Journal of Pure and 1. Katsumi Ito, Osaka; ShigeiakiOkuyama, kawachinagano; Norimi Nakamura, Applied Mathematics, V-116, I- YashizoKuroiwa; Koushi Fujiwara; 16 Special Issue, PP-491-494, Japan(1987). “automatic differential locking system for working vehicle” 2017 U.S. patent,no. 4,671,376, 9June 1987. 12. Ramya, N., Muthukumar, M.,

On star and acyclic coloring of 2. Alfred sigl, Sershiem; Germany (1987) ; graphs, International Journal of “Vehicle with lockable differential” U.S. patent,no 4,671,373 June 1987 Pure and Applied Mathematics, V-116, I-16 Special Issue, PP-

3. Kanwar Bharat Singh “Advances in 467-469, 2017 Automobile Engineering: Brake Assisted 13. Ramya, N., Pavi, J., Coloring of Differential Locking System” book and gear graphs, Proceedings of the World Congress on Engineering 2008 Vol II WCE 2008, International Journal of Pure and July 2 - 4, 2008, London, U.K. Applied Mathematics, V-116, I-

17 Special Issue, PP-401-402, 4. Prof. Dr.-Ing. Berthold Schlecht, TU 2017 Dresden Dr.-Ing. Tobias Schulze, Drive Concepts GmbH Dresden “Design and 14. Ramya, P., Hameed Hussain, J., optimization of planetary gears under Alteration framework for consideration of all relevant influences” integrating quality of service in internet real-time network, 5. Prof. HarshalAhireMrunmayRaut, International Journal of Pure and ChetanGajmal, Rahul Meher, Ashutosh Applied Mathematics, V-116, I- Mishra, “Automobile Reverse Locking 8 Special Issue, PP-57-61, 2017 Differential Mechanism”, International 15. Ramya, P., Sriram, M., Tweet Research Journal of Engineering and sarcasm: Peep, International Technology (IRJET), Volume: 03 Issue: Journal of Pure and Applied 03 | Mar-2016, e-ISSN: 2395 -0056. Mathematics, V-116, I-10 6. Ramamoorthy, R., Kanagasabai, V., Special Issue, PP-231-235, 2017 Kausalya, R., Impact of celebrities' 16. Sabarish, R., Meenakshi, C.M., image on brand, International Journal of Comparision of beryllium and Pure and Applied Mathematics, V-116, CI connecting rod using ansys, I-18 Special Issue, PP-251-253, 2017 International Journal of Pure and 7. Ramamoorthy, R., Kanagasabai, V., Applied Mathematics, V-116, I- Vignesh, M., Quality assurance in 17 Special Issue, PP-127-132, operation theatre withreference to fortis 2017 malar hospital, International Journal of 17. Sabarish, R., Rakesh, N.L., Pure and Applied Mathematics, V-116, Outcome of inserts for I-14 Special Issue, PP-87-93, 2017 enhancing the heat exchangers, 8. Ramya, N., Arthy, J., Honey comb International Journal of Pure and graphs and its energy, International Applied Mathematics, V-116, I- Journal of Pure and Applied 17 Special Issue, PP-419-422, Mathematics, V-116, I-18 Special Issue, 2017 PP-83-86, 2017 18. Sangeetha, M., Gokul, N., Aruls, 9. Ramya, N., Jagadeeswari, P., Proper S., Estimator for control logic in coloring of regular graphs, International high level synthesis, Journal of Pure and Applied International Journal of Pure and Mathematics, V-116, I-16 Special Issue, Applied Mathematics, V-116, I- PP-531-533, 2017 20 Special Issue, PP-425-428, 10. Ramya, N., Karunagaran, K., Proper, 2017 star and acyclic coloring of some graphs, 19. Sangeetha, M., Gokul, N., Aruls, International Journal of Pure and S., Image steganography using a curvelet transformation, 10399 International Journal of Pure and Applied Mathematics Special Issue

International Journal of Pure and using TIO2/activated Applied Mathematics, V-116, I-20 carbon composite, International Special Issue, PP-417-422, 2017 Journal of Civil Engineering and 20. Saraswathi, P., Srinivasan, V., Peter, M., Technology, V-8, I-8, PP-156- Research on financial supply chain from 163, 2017 view of stability, International Journal of 30. Saritha, B., Chockalingam, M.P., Pure and Applied Mathematics, V-116, Synthesis of photocatalytic I-17 Special Issue, PP-211-213, 2017 composite Fe-C/TiO2 for 21. Saravana Kumar, A., Hameed Hussain, degradation of malachite green J., Expanding the pass percentage in dye from aqueous medium, semester examination, International International Journal of Pure and Journal of Pure and Applied Applied Mathematics, V-116, I- Mathematics, V-116, I-15 Special Issue, 13 Special Issue, PP-177-181, PP-45-48, 2017 2017 22. Saravana, S., Arulselvi, S., AdaBoost 31. Saritha, B., Chockalingam, M.P., SVM based brain tumour image Removal of heavy X`X`l from segmentation and classification, aqueous medium using modified International Journal of Pure and natural adsorbent, International Applied Mathematics, V-116, I-20 Journal of Pure and Applied Special Issue, PP-399-403, 2017 Mathematics, V-116, I-13 23. Saravana, S., Arulselvi, S., Dynamic Special Issue, PP-205-210, 2017 power management monitoring and 32. Saritha, B., Chockalingam, M.P., controlling system using wireless sensor Degradation of malachite green network, International Journal of Pure dye using a semiconductor and Applied Mathematics, V-116, I-20 composite, International Journal Special Issue, PP-405-408, 2017 of Pure and Applied 24. Saravana, S., Arulselvi, S., Clustered Mathematics, V-116, I-13 morphic algorithm based medical image Special Issue, PP-195-199, 2017 analysis, International Journal of Pure 33. Sartiha, B., Chockalingam, M.P., and Applied Mathematics, V-116, I-20 Photocatalyticdecolourisationoft Special Issue, PP-411-415, 2017 extileindustrywastewaterby 25. Saravana, S., Arulselvi, S., Networks, TiO2, International Journal of International Journal of Pure and Pure and Applied Mathematics, Applied Mathematics, V-116, I-20 V-116, I-18 Special Issue, PP- Special Issue, PP-393-396, 2017 221-224, 2017 26. Saritha, B., Chockalingam, M.P., 34. Sartiha, B., Chockalingam, M.P., Adsorptive removal of heavy metal Study on photocatalytic chromium from aqueous medium using degradation of Crystal Violet modified natural adsorbent, International dye using a semiconductor, Journal of Civil Engineering and International Journal of Pure and Technology, V-8, I-8, PP-1382-1387, Applied Mathematics, V-116, I- 2017 18 Special Issue, PP-209-212, 27. Saritha, B., Chockalingam, M.P., 2017 Adsorptive removal of brilliant green 35. Shanthi, E., Nalini, C., Rama, dye by modified coconut shell adsorbent, A., The effect of highly- International Journal of Pure and available epistemologies on Applied Mathematics, V-116, I-13 hardware and architecture, Special Issue, PP-211-215, 2017 International Journal of 28. Saritha, B., Chockalingam, M.P., Pharmacy and Technology, V-8, Photodegradation of eriochrome black-T I-3, PP-17082-17086, 2016 dye from aqueous medium by 36. Shanthi, E., Nalini, C., Rama, photocatalysis, International Journal of A., Drith: Autonomous,random Pure and Applied Mathematics, V-116, communication, International I-13 Special Issue, PP-183-187, 2017 Journal of Pharmacy and 29. Saritha, B., Chockalingam, M.P., Technology, V-8, I-3, PP-17002- Photodradation of malachite green DYE 17006, 2016 10400 International Journal of Pure and Applied Mathematics Special Issue

37. Shanthi, E., Nalini, C., Rama, A., A case 47. Sidharth Raj, R.S., Sangeetha, for replication, International Journal of M., Android based industrial Pharmacy and Technology, V-8, I-3, PP- fault monitoring, International 17234-17238, 2016 Journal of Pure and Applied 38. Shanthi, E., Nalini, C., Rama, A., Elve: Mathematics, V-116, I-15 A methodology for the emulation of Special Issue, PP-423-427, 2017 robots, International Journal of 48. Sidharth Raj, R.S., Sangeetha, Pharmacy and Technology, V-8, I-3, PP- M., Mobile robot system control 17182-17187, 2016 through an brain computer 39. Shanthi, E., Nalini, C., Rama, A., interface, International Journal Autonomous epistemologies for 802.11 of Pure and Applied mesh networks, International Journal of Mathematics, V-116, I-15 Pharmacy and Technology, V-8, I-3, PP- Special Issue, PP-413-415, 2017 17087-17093, 2016 49. Sivaraman, K., Sundarraj, B., 40. Sharavanan, R., Golden Renjith, R.J., Decisive lesion detection in Design and analysis of fuel flow in bend digital fundus image, pipes, International Journal of Pure and International Journal of Pure and Applied Mathematics, V-116, I-15 Applied Mathematics, V-116, I- Special Issue, PP-59-64, 2017 10 Special Issue, PP-161-164, 41. Sharavanan, R., Jose Ananth Vino, V., 2017 Emission analysis of C.I engine run by 50. Sridhar, J., Sriram, M., Cloud diesel,sunflower oil,2 ethyl hexyl nitrate privacy preserving for dynamic blends, International Journal of Pure and groups, International Journal of Applied Mathematics, V-116, I-14 Pure and Applied Mathematics, Special Issue, PP-403-408, 2017 V-116, I-8 Special Issue, PP- 42. Sharavanan, R., Sabarish, R., Design of 117-120, 2017 built-in hydraulic jack for light motor

vehicles, International Journal of Pure and Applied Mathematics, V-116, I-17 Special Issue, PP-457-460, 2017 43. Sharavanan, R., Sabarish, R., Design and fabrication of aqua silencer using charcoal and lime stone, International Journal of Pure and Applied Mathematics, V-116, I-14 Special Issue, PP-513-516, 2017 44. Sharmila, G., Thooyamani, K.P., Kausalya, R., A schoolwork on customer relationship management with special reference to domain 2 host, International Journal of Pure and Applied Mathematics, V-116, I-20 Special Issue, PP-199-203, 2017 45. Sharmila, S., Jeyanthi Rebecca, L., Anbuselvi, S., Kowsalya, E., Kripanand, N.R., Tanty, D.S., Choudhary, P., SwathyPriya, L., GC-MS analysis of biofuel extracted from marine algae, Der Pharmacia Lettre, V-8, I-3, PP-204-214, 2016 46. Sidharth Raj, R.S., Sangeetha, M., Data embedding method using adaptive pixel pair matching method, International Journal of Pure and Applied Mathematics, V-116, I-15 Special Issue, PP-417-421, 2017 10401 10402