Prof. Dr.-Ing. Stefan Vöth - Hoists with safety brakes Hoists with safety brakes Prof. Dr.-Ing. Stefan Vöth Cranes integrated in the logistic chain are vital elements to ensure safety and economic efficiency of transport. So safety is a essential factor for service of cranes in nuclear plants or metallurgical plants. For service of ship-to-shore-cranes the economic efficiency is an additional dominating aspect. Holding brake Aligning coupling Starting point Due to instationary service hoists are dynamically loaded structures. Especially for the case of emergency-off of safety oriented hoists with a safety brake on the rope drum disc high dynamic internal forces occur in the drivetrain [1, 2, 3]. Thus exists the risk of component failure, which can be observed in practical applications. The failure of a component, especially the hoist gearing, results in consequences relating safety and availability and is to be prevented for many cases of service urgently. Concerning hoists of cranes two approaches for planning and manufacture may be relevant. Serial hoists are planned and built for greater number of pieces. Hereby serial hoists as a system can be planned and checked in detail before market introduction. Open winches in most cases are a system configured for a singular crane plant. They cannot be planned as detailed as a serial hoist. In addition intensive experimental tests for example over planned lifespan are not possible. Thus a target oriented approach in planning of open winches is of special relevance. Hoist structure Generally hoists consist of a drive train, to the ends of which loads are applied: At one end the motor and the brake are located, at the other end the load is attached (picture 1). Relative transparent relations concerning the dynamic behavior of the hoist in different service conditions result out of this. At safety oriented hoists as in ship-to-shore-cranes, in nuclear plant cranes and in cranes for transporting molten metal this looks a little bit different. To cover a rupture of the drive train an additional safety brake is located on the board disc of the rope drum mostly. Thus a load can be applied in the middle of the drive train [1]. In comparison to the general hoist structure a modified dynamic behavior of the hoist in general and the elastic drive train especially is the consequence. Aligning coupling Motor A main assembly of every crane is the hoist. Following is shown, which internal forces occur in the components of a hoist with safety brake and are to be considered while dimensioning. In addition a concept for the design and the control of the braking system is shown in order to reduce the internal forces in hoist components of the rotational part of the drivetrain as couplings and gearing. Gearing Rope drum Rope drive Load Picture 1: Hoist Brakes Safety oriented hoists comprise more than one brake. Analogous to a classical hoist structure a service brake is located on the axis of the fast running motor shaft. As this brake in today’s electrically braking systems is hardly used as a stopping brake, this brake may also be named as holding brake. In safety oriented applications the load also must be suspended in case of rupture in the drive train. Therefore a safety brake is located on the board disc of the rope drum, which is at the load oriented end of the rotating part of the drive train. As for the case of service a stronger or a divided braking action is to be implemented, an additional brake may be installed on the axis of the fast running motor shaft. This additional brake is not necessary for general braking or for holding of the load typically. After switching all brakes get into action after a certain dead time. The braking torque is increasing according to an exponential function. The final braking torque depends on the frictional conditions within the brake. Page 1 Prof. Dr.-Ing. Stefan Vöth - Hoists with safety brakes Braking process Switching procedure It is task of brakes in hoists, if required, to stop the hoist within a certain time or without exceeding a certain further hoisting distance or lowering distance. Subsequent the hoist is to be hold in the reached position in the first instance. The actions of motor and brakes during a braking procedure are not permanent. In fact a sequence of omitting and adding loads on the drive train occurs. Especially the case of emergency-off is considered here with following chronological scenario: After activation of emergency-off and a dead time ∆tM the motor torque is dropped out. Parallel the brakes get into action. Takes the brake application more time than the drop out of the motor torque, exist the dead times for the service brake ∆tBB and the safety brake ∆tSB (picture 3). During deceleration a braking torque must be delivered by the brake or the brakes, which consists of three fractions typically: Braking torque fraction out of static load torque of suspended load including load suspension device and load attachment device, Braking torque fraction out of braking torque for the deceleration of the rotational masses, Braking torque fraction out of braking torque for the deceleration of the translational masses. Amount and direction of action of these three fractions comply with the considered load case, which can be understood as the transition between two service conditions. The service conditions respectively the transitions between them can be visualized in the four-quadrant-diagram (picture 2). Especially can be distinguished: Hoisting t Off Motor Lowering Emergency Off Event ∆tM ∆tBB On t Off Service brake ∆tSB On t Off Safety brake Holding service (v=0), Hoisting service and lowering service (v≠0), Acceleration and deceleration (a≠0), Load condition, in extreme cases dead load plus rated capacity and dead load. The load condition itself is not indicated in the four-quadrant-diagram. a x v<0, a>0 Braked lowering x v>0, a>0 Accelerated hoisting Picture 3: Chronological scenario for switching processes following emergency-off Reference system For a closer look on the behavior a loss-free, partly redundant hoist with safety brakes is considered (picture 4). Central element of the hoist is the gearing. The load is suspended by a load attachment device and a rope drive with 8/2 reeving. Both ropes are running onto a drum each, which are coupled with the gearing output shafts. On the board disc of each rope drum a safety brake is located. The hoist is driven by two motors which are connected to the gearing input shafts. On the motor shafts axis a service brake is located each. The reference hoist is described by following data: v x v<0, a<0 Accelerated lowering x v>0, a<0 Braked hoisting Picture 2: Four-quadrant-diagram Motor speed Hoisting speed n1=1500min-1 vH=45m/min Mass motor shaft Mass rope drum shaft Mass load attachment device Mass SWL θ1=20kgm2 θ2=500kgm2 mLAM=10t mSWL=52t Radius rope drum Gearing ratio r=0.5m iG=26.2 Page 2 Prof. Dr.-Ing. Stefan Vöth - Hoists with safety brakes Rope drive ratio iS=4 Service brake torque Dead time service brake Safety brake torque Dead time safety brake MBB=5.8kNm ttotBB=0.4s MSB=130kNm ttotSB=0.1s hoist, which disposes of a fast acting safety brake and a slow acting service brake. Emergency-off means, that energy supply is cut off spontaneously and all components react accordingly. The motor torque is omitted and the brakes apply mechanically. Gearing stiffness Clearance drum coupling c=4e4Nm/rad s=3° The special case of a blocked load in hoisting service (snag) is not considered here for a start [2]. Holding brake Rigid body kinetics Holding brake According to a rigid body approach the acceleration of the drivetrain α1 results as quotient of the sum of accelerating torques ΣMred and the sum of rotational masses Σθred, both values for example reduced to the motor shaft: α1 = Rope drum Safety brake Rope drive ∑M ∑θ red red Safety brake Rope drum Aligning coupling Gearing Rope drum coupling Rope drum coupling Motor Aligning coupling Motor α1 ∑Mred ∑θred Rope drive Load Picture 4: Reference system Load cases The hoist underlies in service different load cases, described by following parameters: Concerning the direction of movement holding, hoisting and lowering can be distinguished. Concerning the variation of speed constancy, acceleration and deceleration can be distinguished. Concerning the load suspended at the rope drive loads from dead load (load attachment device) to full load (load attachment device + safe working load) may occur. Concerning the internal forces are switching processes of interest. In doing so changes between following service conditions can occur: Suspended load Hoisting Lowering Service-stop Emergency-stop Emergency-off Acceleration of drivetrain Sum of accelerating torques, reduced to motor shaft Sum of rotational masses, reduced to motor shaft The accelerating torques result from the motor torque MM, the torque of the service brake MBB, the torque of the safety brake MSB and the torque out of the load ML. The rotational masses result from the rotational masses of the drivetrain θ1 and θ2 as well as from the translational masses of the load mLast including the load suspension device and the load attachment device mLAM. For the hoist represented as a rigid body model the behavior of load speed over time can be calculated. As a result for example the speed over time for different mechanical braking scenario out of hoisting/lowering the dead load are gained (picture 5). With the acceleration of the drive train α1, the motor torque MM, the braking torque of the service brake MBB and the rotational mass of the motor θ1 results for the relevant gearing input torque MG (picture 6): M G = M M − M BB − θ1α1 α1 θ1 MG MM MBB Acceleration of drivetrain Rotational mass of motor Gearing torque Motor torque Braking torque service brake Following load cases are considered, which will lead to high internal forces in the drivetrain by trend. Considered is the case of emergency-off for a Page 3 Prof. Dr.-Ing. Stefan Vöth - Hoists with safety brakes 50 7,0s; 2633mm Hoisting Hoisting, Dead load 40 30 0,4 -10 0,6 0,8 Time t in s 1,0 566mm 0,2 466mm 0 359mm ∆tBB 296mm 267mm 10 302mm Hoisting speed vH in m/min 20 As observed the deceleration of the hoist occurs quickly. This is caused mainly due to the braking by the high load. Thus the deceleration process is finished as fast that the service brake (holding brake) with greater dead time in general is not or fairly not coming into action anymore. Firstly the torque for braking the motor mass is supplied by the load and the safety brake and transferred to the motor mass via the drive train. Assumed simultaneous action of the safety brake and switch-off of the motor, braking torque build up according to the character of a jump function, a delayed action of the service brake (holding brake) in comparison to the safety brake and a loss free drivetrain, 1,2 ∆tSB -20 -30 Lowering -40 Lowering, Dead load -50 the maximum relative gearing input torque for braking with the safety brake out of hoisting (+) or lowering (-) reaches the level -60 M G rel max = φ5 (MF(LF ± BFSB ) − LF ) + LF -70 MG rel Picture 5: Speed characteristics for braking the dead load out of hoisting/lowering MG rel max MF MG LF BFSB θ1α1 ω1 θ1 MM MHB Picture 6: Torques acting at the cut free motor shaft Elastic body kinetics The rigid body approach does not consider elasticity and clearance in the hoist system. Accordingly it is of interest to investigate the influence of these properties. Therefore the rigid body model is expanded by adding the elasticity of the gearing and the clearance in the rope drum coupling. Braking during hoisting Examinations show the special relevance of the load case emergency-off out of hoisting the maximum load. φ5 Gearing input torque relative to the static load torque out of maximum load Maximum value of MG rel Mass factor: rotational mass of motor relative to total rotational mass of drivetrain reduced to motor shaft Load factor: lifting load relative to lifting capacity Braking factor safety brake: braking torque safety brake relative to static load torque out of full load Dynamic factor for mass forces out of drives according to BS EN 13001-2 Here the torque jump resulting out of the change of service condition according to the rigid body model is assessed with the dynamic factor for drives φ5 corresponding EN 13001-2 [4]. For braking maximum load out of hoisting results M G rel max = φ 5 [MF (BFSB + 1) − 1] + 1 Hence the quasi static gearing input torque is: M G rel = MF (BFSB + 1) That means: In the most unfavourable case (masses almost completely concentrated on the motor shaft (MF=1), maximum load at load attachment device) a maximum quasi static gearing input torque of braking torque safety brake plus static load torque can occur: M G rel = BFSB + 1 Page 4 Prof. Dr.-Ing. Stefan Vöth - Hoists with safety brakes The dynamic peak torques (picture 7) can occur, as far as they are supported by the static load, braking torque and inertia torque. Details regarding this are to be determined by an elasto-kinetic analysis. It is obvious for the considered load case that internal forces resulting in the drive train are a multiple of the static holding torque. 8 8,0 7 7,1 6,3 6 5,9 5,6 φ5=1,5,MF=1 5 Analyses show that especially the load case of emergency-off out of lowering the dead load is of interest. Emergency-off immediately initiates switch-off of the motor and activation of the safety brake. For the mentioned data a maximum relative gearing input torque of MG rel max=8.9 is calculated (picture 9). That means the gearing torque is factor 8.9 higher than the maximum static loading of the drive train. 0 4 3,0 32,8 2,5 2,6 2,4 2 Dynamic factor φ5=2,0, Mass factor MF=0…1 2,2 Dynamic factor φ5=1,5, Mass factor MF=0…1 Dynamic factor φ5=2,0, Mass factor MF=0,90…0,95 1 Dynamic factor φ5=1,5, Mass factor MF=0,90…0,95 0 φ5=1,5,MF=0 -0,5 -1 1,0 1,5 2,0 -4 φ5=2,0,MF=0 -1,0 2,5 3,0 3,5 Relative braking torque safety brake MSB/Mst Picture 7: Maximum relative gearing torque For a braking factor of the safety brake of BFSB=1.7 results a relative peak gearing torque assessed according to BS EN 13001-2 of MG rel max=2.5…4.2. For BFSB=3.3 this value reaches a level of MG rel max=3.9…7.2. That means the gearing torque is about factor 7.2 higher than the maximum static internal force in the drive train. A special illustration for φ5=1.0 (rigid body approach) shows picture 8. 5 Rel. gearing torque MG rel/Mst 4,5 4,1 4 MF=1 3 MF=0,9 2 2,3 2,0 1,8 1 MF=0,5 1,0 0 1,0 1,5 2,0 2,5 3,0 3,5 Relative braking torque safety brake MSB/Mst Picture 8: Relative gearing torque With the rigid body model (without consideration of a dynamic factor) the maximum relative gearing input torque, that is the gearing input torque relative to the static gearing input torque out of maximum load, can be calculated. For the typical hoist design here it reaches a level of MG rel max=2.6, for special designs it may reach a level of MG rel max=4.4. That means the gearing torque is factor 4.4 higher than the maximum static loading of the drive train. Rel. Gearing Torque MG rel/MSt Maximum relative gearing torque MG rel max/Mst 7,6 φ5=2,0,MF=1 Braking during lowering -8 Time t in s 0.0 0.25 0.50 0.75 1.0 Picture 9: Relative gearing torque according to elasto-kinetic hoist model During lowering the hoist is driven by the load, which is hold in steady state condition by the motor. When the safety brake gets into action, the stoppage is executed very fast for this case as well. On one hand this is caused by the low load level, dead load. Assuming clearances in the drive train (in gearing and/or couplings) it is expected furthermore, that a flank change will occur. During this the motor side masses and the braked load side are uncoupled. Respectively the motor side masses need not to be decelerated. At an appropriate constellation the load side will stand still before running through the clearance is finished. In this case after running through the clearance a shock will occur. The motor side pitches on the standing load side. Toothed wheels and bearings in the gearing are loaded significantly by this shock. A special shock load may occur to the bearings of helical gearings. In this case the shock is led in axial direction of the shafts and with it on the roller bearing acting as fixed bearing. Gearing loading From the calculations maximum internal gearing torques much higher than according to static or rigid body approaches can be derived. Especially in the gearing such shock-like internal loads appear after running through clearances in relation with Page 5 Prof. Dr.-Ing. Stefan Vöth - Hoists with safety brakes Hertzian contacts (toothing, roller bearings). To ensure safety such maximum internal loads must be covered statically. To ensure durability such maximum internal loads should not lead to pre-damages, which would lead to fatigue under further service loading. Hoisting t Off Motor Lowering Emergency Off Event ∆tM „Intelligent“ braking On In zones of maximal exploitation of the strength pre-damages of the material must be prevented. Shall the gearing not be dimensioned too large, the appearing internal forces are to be restricted. For the given hoist structure approaches to reduce the maximum values and amplitudes of the internal forces are demanded. As measure to reduce peak values and amplitudes of the internal loads is considered: Synchronous and balanced action of all brakes participating in the braking process, here the service brake and the safety brake. Main reason for high internal forces in the drive train during a safety braking process is following situation: The maximum of the kinetic energy to be reduced is concentrated in the masses on the axis of the fast running motor shaft: masses of motor, coupling and braking drum/braking disc. Braked will be at first at the board disc of the rope drum and by the load. So the brake torque is not induced at the location of demand. A significant part of the brake torque must be led from the location of induction to the fast rotating masses. To prevent this torque put through the gearing it makes sense, to bring the service brake into action synchronous to the safety brake. This leads to a direct participation of the service brake in the braking process. This ideally results in a switching scenario with dead times of the service brake and the safety brake of ∆tBB=∆tSB=0s. Requirement is a holding of the motor torque until both brakes get into action (picture 10). t Off Service brake On t Off Safety brake Picture 10: New chronological scenario for switching processes following emergency-off Remains the question with which amount of torque the safety brake and the service brake should act. Favourable would be braking in a way that the quasi static internal torque before braking is still present during braking. Hereby at the beginning of braking a jump in the internal torque during transition from “hoisting/lowering” to “decelerated hoisting/lowering” is prevented. Likewise at the end of braking a jump in the internal torque during transition from “Decelerated hoisting/lowering” to “holding” is prevented. Assuming these requirements given for the structure of the reference hoist following braking factors for the safety brake and the service brake for the braking out of hoisting (-) or lowering (+) are calculated: * θ ges ∆ω BFBB = m LF + MF * M st ∆ t BF SB = m (1 − MF BFBB BFSB LF MF θges* Mst* ∆ω ∆t ) * θ ges ∆ω M * st ∆t Braking factor service brake: braking torque service brake relative to static load torque out of full load Braking factor safety brake: braking torque safety brake relative to static load torque out of full load Load factor: lifting load relative to lifting capacity Mass factor: rotational mass of motor relative to total rotational mass of drivetrain reduced to motor shaft Total rotational mass of drivetrain reduced to motor shaft Static load torque out of load capacity reduced to motor shaft Difference of motor shaft Angular frequency Braking time Page 6 Prof. Dr.-Ing. Stefan Vöth - Hoists with safety brakes Brake factors service brake BFBB and safety brake BFSB 2,5 Hoist with balanced braking: Brake factors braking out of hoisting BFBB+BFSB BFBB BFSB 2,0 1,5 1,0 0,5 0 0 10 20 30 40 50 Load in t Picture 11: Braking factors for braking out of hoisting For the reference hoist the brake factors and their sums are calculated as shown for braking out of hoisting (picture 11) and out of lowering (picture 12). For braking out of hoisting the safety brake has to be applied to a little account only (BFSB=5%-12%). The service brake has to deliver a significant torque under partial load. With increasing loads up to full load the braking torque of the service brake is decreasing continuously (BFBB=92%-8%). Brake factors service brake BFBB and safety brake BFSB 2,5 Hoist with balanced braking: Brake factors braking out of lowering BFBB+BFSB BFBB BFSB 2,0 For the higher internal loads occurring especially due to emergency-off [3] the hoist may be not dimensioned reasonably and efficiently. Assuming a corresponding hoist concept this also applies for emergency-stop, a load case occurring more often. Accordingly measures have to be considered in order to reduce internal loads induced to the drive train. The internal loads in the drivetrain are reduced especially by “intelligent braking”. Ideally the braking process is designed in a way, that during braking in the drivetrain between motor and safety brake the torque during static hoisting is present also. Hereby the maximum values as well as the amplitudes of the internal forces are reduced significantly. Suitable measures to be applied are: Reduction of clearances and increase of system elasticity: As result shocks can be reduced and absorbed, as well as internal loads are reduced in connection with system damping. Minimisation of dynamic effects: Following BS EN 13001-2 [3] this may be realized by little clearance and a gradual implementation of the braking torque. Reduction of mass factor MF: By a small share of the motor mass in relation to the total mass of the drivetrain the torque put through the gearing is reduced. Minimisation of brake factor BFSB: A small braking torque of the safety brake generally leads to less braking action and reduced internal forces. Braking action synchronous to motor switch-off: Is he motor moment decreasing before braking action takes place, the drivetrain is relieved slightly. The resulting internal forces can be prevented by synchronity of the events. 1,5 1,0 0,5 0 Conclusions 0 10 20 30 40 50 Load in t Picture 12: Braking factors for braking out of lowering For braking out of lowering the safety brake has to deliver only a small torque (BFSB=5%-12%). The service brake has to deliver a significant torque under partial load. With increasing loads up to full load the braking torque of the service brake is increasing continuously (BFBB=124%-208%). Synchronized application of safety brake and service brake: In order to prevent torques put through the drive train a synchronized application of both brakes is inevitable. As a result the collision of the non-braked massive drive side mass (motor) and the braked load side mass (rope drum) is prevented. Corresponding shocks in assemblies with clearances as gearing and rope drum coupling are reduced. In typical hoist structures the dead time of the safety brake is significantly lower than that of the service brake. An expandation of dead time of the safety brake in most cases cannot be accepted. Accordingly a suitable approach is to shorten the dead time of the service brake [4]. Balanced braking torque of safety brake and service brake: For adjusting the torques in the drive train defined braking torques at safety brake and service brake are required. Advisable is the Page 7 Prof. Dr.-Ing. Stefan Vöth - Hoists with safety brakes balancing of both braking torques according to the energies to be dissipated at the locations of brakes. These braking torques depend on the service condition and the suspended load. Brakes with controllable torques are applied ideally. For cranes they are not state of the art today. Instead of the step less adjustment of torques a stepped adjustment of braking torques may be considered. This is realized by a parallel arrangement of several smaller brakes at one braking location. Hereby an approximation of the ideal condition is achieved. Low motor mass. Low braking torque at safety brake. Further measures consideration. The hoist has to cope with those service situations, especially in zones of Hertzian contacts as toothing and roller bearings of gearings. Therefore for critical systems beside the classical measures to reduce internal loads as Increase of elasticity and damping in the drivetrain. Reduction of clearances, especially in drum coupling and gearing. be taken into It is proposed to evolve the braking systems of hoists to “intelligent braking systems”, which are able to anticipate the service condition. Structural and control elements of such a braking system are: Summary In the logistics chain integrated crane plants are essential elements to ensure safety and economic efficiency of the transport. An essential assembly of every crane is the hoist. Under appreciation of dynamic processes it can be calculated, that in case of emergency-off significant torque peaks in gearings of hoists can occur. Here relative torques of about MG rel max=890% were determined. Those peaks are not covered by a rigid body analysis and subsequent also not by a dimensioning according to BS EN 13001-2 [4] basing on such a rigid body analysis. should Braking action synchronous to motor switch off, synchronous action of safety brake and service brake and Balanced action of safety brake and service brake. Literature [1] [2] [3] [4] [5] RWTÜV Schriftenreihe, Heft 8, Krane, Bemessung und Sicherheit, 1981 Vöth: Safety Systems for Container Cranes, 17th ITI Symposium, Dresden, 2014 Schmeink: Dynamische Beanspruchung von Hubwerksgetrieben, Tagungsband 22. Internationale Kranfachtagung, Magdeburg, 2014 EN 13001-2: Crane safety, General design, Part 2: Load actions Römer: Difference between dynamic and static coefficient of friction, Port Technology International, 56. Edition, Winter 2012, P. 49-51 Page 8