Design and Analysis of Spring-Ball Clutch Torque Limiter

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Design and Analysis of Spring-Ball Clutch Torque Limiter Nasiket M. Gawas, Manali S. Patkar, Prasad B. Gawade 1 B.E Student, B.E Student, 3 B.E Student Mechanical Engineering, Finolex Academy of Management and Technology, Ratnagiri, India. Abstract - The main purpose of self-releasing safety spring-ball clutch is to protect the system from overloads which causes the driving member to stall or get ruptured. This torque limiter provides self re-engagement after the removal of overload at the output which is not provided by conventional torque limiters. Design of this spring ball clutch is made for DC motor as the driving member with particular torque value which consists of the requirement of spring stiffness, design of input flange and cylindrical body for easy engagement and disengagement of clutch.ansys14.0 is used as analysis software Index Terms - Overload protection, spring ball safety clutch, Variable torque limit, Static Structural analysis, Ansys, SolidWorks I. INTRODUCTION In an industry there is always need of more rapid, more rigid and precise equipment to increase capacity and productivity. Such requirement demands various mechanisms like gearing arrangements, high capacity motors and shaft drive mechanism. The output load on driving member exceeds in some of the applications like centrifugal pumps, grinders, ship propellers etc. When machine gets overloaded it results in failure of components such failure of shafts, burning of motor, gear teeth rupture [1]. In order to avoid overloading some preventive measures are incorporated between driving and driven mechanism, use of torque limiter is one of them. This paper describes ball detent type torque limiter. Till date many type of torque limiters are made available and used. These come with various specifications, e.g. shear pin torque limiter which uses so called mechanical component designed to withstand specified shear load. It has disadvantage that it requires replacement of shear pin after each breakage. Another type is permanent magnet torque limiter, this type creates backlash problems. Third type is pawl-spring torque limiter, in which spring-loaded, cam follower or pawl-detent device is used but due to need of operator for re-engagement it is disadvantageous. Considering the disadvantages we designed this torque limiter to protect against overload at particular torque limit which inherits following features i. Variable torque limits ii. Automatically re-engaged iii. No-manual replacement needed iv. No part worn-out v. No backlash II. OBJECTIVES Design & Development of V- profile ball detent three ball set overload Safety ball clutch with adjustable torque limit. Determination of angle of inclination of V-groove for easy disengagement & re-engagement. Calibration for limiting torque for given angular movement of locknut. IJEDR160107 International Journal of Engineering Development and Research (www.ijedr.org) 610

Figure 1Testing setup for the Torque Limiter III. DESIGN This section describes design of various components of toque limiter. The components are as shown in figure.. The torque limiter is designed to sustain the toque up to N-m and it is driven by 0.5 hp DC motor having speed 1500 rpm Figure Components of the Torque Limiter Input Shaft The input shaft of the torque limiter is driven by a DC motor and it is carries an input flange on opposite side. Input Flange Input flange is one of the important components of torque limiter as shown fig.3. It carries 3 V-grooves as shown and the design procedure is described below. Figure 3 Input Flange Selecting Mild Steel-Checking for shear failure at where shaft is attached to flange [ ] =64.8 N/mm Since d=0 mm Here 16 Mt ind 3 d ind 3 ind < 1610 0 = 1.7 N/mm Hence the design is safe. 3 IJEDR160107 International Journal of Engineering Development and Research (www.ijedr.org) 611

Cylindrical Body Figure 4 Cylindrical Body Cylindrical body is having three concentric holes as shown in fig.4 which carry three spring-ball-plunger assemblies. Holes are accurately drilled and reamed passing axially through the body, the holes are spaced exactly 10 0 apart around the same 90mm PCD. The right hand end of the body is reduced in diameter and threads to receive the casing. Design of Cylindrical Body σ t = 400 N/mm σ u = 480 N/mm D o = 40 D i = 0 F s max = 66 N/mm 10 T = F 16 sact D 4 o Di 0 4 4 F 40 0 3 sact 16 0 4 F sact = 0.08488 N/mm F sact < f s max Cylindrical body is safe under tensional load. Ball and spring Ball clutch nomenclature: d = diameter of ball, mm D =pitch circle diameter of groove, mm Ft= total tangential force on balls, n Fs=total spring force, n F=spring force on each ball, n Α=angle of inclination of groove Ks=spring stiffness, n/mm Lf=free length of spring, mm Mt=torque transmitted, n mm N=number of turns in the spring P=pitch of spring coil, mm Z b=number of balls in the clutch Μ=coefficient of friction K 1=stiffness per turn n /mm Α=movement of ball while clutch is slipping, mm a) Calculation of tangential force on balls Τ = Nm M Ft= t D 3 10 = 90 (Assuming pitch circle diameter of groove D=90 mm) = 44.44 N IJEDR160107 International Journal of Engineering Development and Research (www.ijedr.org) 61

Figure 5 Spring ball arrangement Figure 6 FBD of ball b) Calculation of total spring force on balls (F s) Fs = Ft cos sin sin cos Where, μ=coefficient of friction between ball and body of clutch=0.08 α=angle of inclination of groove=45 0 F s cos45 0.08sin45 44.44 0. 08 sin45 0.08cos45 F s = 34.30 N c) Calculation of force on each spring Fs F Z b Where, Zb = No. of balls in clutch = 3 34.30 F 3 =11.43 N This is the static load acting on spring so taking dynamic load = F 1.75 = 0.00 N Now by choosing the value of spring stiffness from PSG for the Dynamic load of 0 N Table 1 Stiffness and permissible static and dynamic loads for helical compression springs Wire diameter (mm) Outer diameter Mm Stiffness of spring per turn,k1 N/mm Permissible loads- Static 1.0 8.0 30.98 49.6 1.3 N Permissible load Dynamic N IJEDR160107 International Journal of Engineering Development and Research (www.ijedr.org) 613

d) Stiffness of spring K n K s 1 Where, K1=Stiffness of spring per turn (N/mm) n = No. of turns of spring=6 Stiffness and permissible static and dynamic loads for helical compression springs K n K s 1 30.98 6 = 5.16 N/mm e) Compression of spring to exert a force (δ 1) 1 F K s 11.43 5.16 =.1 mm f) Movement of ball while clutch is slipping (δ ) d 1 cos Where, d is diameter of ball=10 mm 10 1 cos45 = 1.46 mm g) Maximum deflection of spring max.11.46 = 3.67 mm h) Free length of spring 1 Lf = Solid length + Max. Deflection+ Clearance between adjacent coils L f nd n n L f = 6+ = 8 n max 1 813.67 81 = 18.67 mm i) Pitch of spring (P) L f P n 1 18.67 6 1 = 3.734 mm IJEDR160107 International Journal of Engineering Development and Research (www.ijedr.org) 614

Table Estimated Parameters of Spring Ball Clutch Sr. No. Parameters Notation Value 1 Diameter of ball d 1 mm PCD of groove D 90 mm 3 Angle of Α 45 0 inclination of groove 4 Rod diameter of d 1 mm spring 5 Outside diameter of spring D 8 mm 6 Pitch of coil P 4 mm 7 Free length of Lf 1 mm spring Casing Hardened steel casing is of the same outside diameter as the front end of the body. The sleeve is deeply bored at one side to be close fit over the reduced portion on the outside of the body. By fitting the casing over the body at that point its correct and accurate location relative to the body is not determined by the fit in the threads. The three plungers bear simultaneously against the inner left hand face of the sleeve; thus as that members advanced longitudinally, all springs will be compressed or expanded by an equal amount. Locknut A threaded lock nut is screwed on the body behind the sleeve for locking the sleeve in any desired setting. [τ] = 64.8 N/mm r = 0mm & R = 30mm Checking for crushing failure: No. of threads: P n H n=8 A 4 40 =3.14 mm 4 8 A 5.1mm Total area= Maximum force= 34.3 3N f 34.33 c 4.09 N/mm A 5.1 [σ c] = 96 N/mm (σ c) < [σ c] Hence locknut is safe under crushing failure. Output Shaft The output shaft carries the cylindrical body which is keyed to it at one end; whereas on the other end the output shaft carries the dynamometer brake pulley. IV. ANALYSIS Body IJEDR160107 International Journal of Engineering Development and Research (www.ijedr.org) 615

Figure 7 Total Deformation result on ANSYS for Cylindrical Body Maximum deformation = 0.001349 mm Figure 8 Total Deformation result on ANSYS for Cylindrical Body Maximum Equivalent Stress =.0077 MPa, Allowable stress = 19.6 MPa Plunger Spring Ball Assembly Figure 9 Total Deformation result on ANSYS for ball-spring assembly Total Maximum Deflection =6.7699 mm IJEDR160107 International Journal of Engineering Development and Research (www.ijedr.org) 616

Figure 10 Stress Intensity result on ANSYS for ball-spring assembly Figure 11 Equivalent Stress result on ANSYS for ball-spring assembly Flange Figure 1 Equivalent Stress result for Input Flange on ANSYS Maximum Equivalent Stress =.1355 MPa, Allowable stress = 19.6 MPa IJEDR160107 International Journal of Engineering Development and Research (www.ijedr.org) 617

Figure 13 Total deformation result for Input Flange on ANSYS Maximum Total Deflection= 0.001669 mm Figure 14 Max shear stress result on ANSYS for Input Flange Maximum Shear Stress = 1.39 MPa, Allowable stress = 64.8 MPa V. CONCLUSION The ball detent type of torque limiter with adjustable torque limit provides a range of torque that can be limited to protect the driver i.e. DC motor. Mechanical design of individual component considers the material to be used, factor of safety, cost and availability of the material and feasibility of fabrication. REFERENCES [1] Thorve Pankaj T, Dr. S.B. Zope, Overload Torque Limiter with Electromechanical Clutch, International Journal of Advance Foundation and Research in Science & Engineering (IJAFRSE) Volume 1, Special Issue, March 015. [] Kiran Kumar Chandrakant Labade, Ravikumar Devarapalli, Torque Tender /Limiter for Overload Shaft. International Journal of Engineering Research & Technology (IJERT).Vol. 3 Issue 8, August,014 [3] Kadam A. N, Aitavade E. N, Spring Loaded Torque Limiter, International Journal for Scientific Research & Development (IJSRD) Vol., Issue 06, 014 [4] PSG College of Technology, Coimbatore. Design Data Revised Edition 1978. [5] Bhandari V. B., Design of Machine Elements, nd ed., Tata McGraw-Hill, 009 IJEDR160107 International Journal of Engineering Development and Research (www.ijedr.org) 618