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diameter wheels, a short wheelbase and a steering mechanism with fully electric brakes for stopping This significantly reduces maintenance of brake blocks The flat linear system also reduces tunnel cross sections by lowering the car floor [18]



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where m is distance. On one side, the mechanical advantage adds to the output force. On the other side, we have to move the wedge that much farther. Another way to look at it is as: F 3-6 E m MA MA where E is the energy, or work being done, and m is still distance. The mechanical advantage MA just shifts the focus of our e orts from the force being applied to the distance we have to move to apply it. The wedge is a di erent way of looking at the inclined plane. A third look is the screw.

Fig 546: A linear motor driven system [18]





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A screw is an inclined plane wrapped around a tube. We see the screw shape in bolts, screws of course, and worm gears. The screw puts the inclined plane into a very compact form. The angle of the plane can be low and we can get a lot of force out of it. This force is applied by turning the screw, which is essentially the same thing as moving a block up the ramp or driving a wedge into a gap. Einstein said that all motion is relative, and whether the resistance (the block or tower) moves, or the inclined plane (ramp, wedge, screw) moves, the e ect is the same.

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Some other applications of linear motors include fun-park installations, automated multi-storey car parks, hybrid drives for transportation systems and material handling and transportation The requirements that usually point to a linear motor are long life or a number of cycles, high speed, very precise positioning, no wear, low noise, clean-room or vacuum compatibility and low maintenance Important specifications to consider when designing a linear motor include rated continuous thrust force, peak force, maximum speed, maximum acceleration, nominal stator length, slider or carriage travel, slide or carriage width and slider or carriage length The rated continuous thrust force is the maximum rated current that can be supplied to the motor windings without overheating The peak force is the maximum force of the linear motor The nominal stator length is the length of the fixed magnet or coil The slider or carriage travel is the range of travel of the moving coil or magnet The slider or carriage width and length are the dimensions of the moving coil or magnet In addition, the following considerations should be taken into account: The earth s core has a very strong attraction between the stationary and the moving component of the motor, which must be considered when calculating bearing system loads When used for vertical axis applications, precautions must be taken to prevent damage to the system, or injury to operations in the event of loss of power In most vertical applications, counterbalancing and fail safe brakes should be used In the case of a power loss, the system loses all stiffness Further, if the system feedback loop is lost, a runaway condition can occur Therefore, stops and a failsafe brake should be used Example: Linear Motor Analysis A detailed linear motor analysis is explained next in a simplified way to estimate the total force which is the key factor in the selection of linear motor drive power (notes provided by McKeown,.

A lever is another way to apply mechanical advantage. Though the lever is a more complicated machine, it can be described with simpler math than the inclined plane.

Corbett, and Wills-Moren of Cranfield University, for MSc, lectures at GINTIC, NTU, Singapore) [19] Example : Specification (a) Total travel = 250 mm as follows: Phase 1: Accelerate to 500 mm/sec within 40 mm Phase 2: Travel for 125 mm at 500 mm/sec Phase 3: Decelerate to rest within the remaining 85 mm Phase 4: Dwell for 08 sec (b) Machining Force = 130 N in phase 2 (c) Coefficient of Friction = 008 (d) Moving Mass = 23 kg (e) Magnetic attraction force = 2000 N Kinematic analysis Table 52 Kinematic analysis for a linear motor drive [19]

Positioning Phase Variable X (displacement) V (Velocity) A (Acceleration) T (Time) Units Mm mm/sec mm/sec2 Sec

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