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Longitudinal Train Dynamics 269<br />

taken on the vehicle floor) is quoted below.<br />

ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi<br />

N MV ¼ 6 ð a XP95Þ 2 þða YP95Þ 2 þða ZP95Þ 2<br />

q<br />

ð 9 : 23Þ<br />

where a XP is acceleration in the longitudinal direction; a YP is acceleration inthe lateral direction;<br />

and a ZP is acceleration in the vertical direction.<br />

Afurther equation isavailable for standing passengers, this time using 50 percentile points<br />

from event distributions.<br />

ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi<br />

N VD ¼ 3 16ð a XP50Þ 2 þ 4 ð a YP50 Þ 2 þða ZP50Þ 2 þ 5 ð a ZP95Þ 2<br />

q<br />

ð 9 : 24Þ<br />

Ride criteria using the above index parameters is: N , 1: very comfortable; 1 , N , 2:<br />

comfortable; 2 , N , 4: medium; 4 , N , 5: uncomfortable; and N . 5: very uncomfortable.<br />

VI. TRAIN MANAGEMENT AND DRIVING PRACTICES<br />

A . T RAIN M ANAGEMENT AND D RIVING P RACTICES<br />

Train management and driving practices has received considerable attention in literature dating<br />

back several decades. Technology developments, such as the transitions from steam to dieselelectric<br />

locomotives, improved locomotive traction control systems, remote control locomotives,<br />

operation ofvery long heavy haul units trains, and the operation of high speed passenger services,<br />

have ensured that this area continues to evolve. Train management and driving practices will differ<br />

for different rail operations. Suburban train drivers will be motivated primarily by the need to run on<br />

time. Asecondary consideration may be energy consumption. Longitudinal dynamics will have<br />

minimal consideration as cars are connected with minimal slack and usually have distributed<br />

traction and slip controls for both traction and braking. Passenger express services will be similarly<br />

motivated. Slow passenger services with locomotive hauled passenger cars will share the concerns<br />

of running ontime with the next priority being the smoothness of passenger ride. Passenger train<br />

driver practice often includes energy consumptive power braking tominimise slack action. Where<br />

locomotives have excess power, train drivers have been known tooperate with aminimum brake<br />

application on for several kilometres to reduce slack action over undulations. Mixed freight train<br />

practice, while not motivated by passenger comfort, will share some similar driving practices to<br />

ensure train stability. This is particularly the case when trains are operated with mixes of empty and<br />

loaded wagons. Running on time will be an emphasis on some systems depending on the type of<br />

freight. Differing from passenger systems, energy consumption is asignificant freight cost factor<br />

and is emphasised in freight operations. The operation of bulk product/uniform module type freight<br />

trains (unit trains or blocktrains), e.g., carrying minerals, grain, containers etc, can be optimised to<br />

the specific source/destination requirements. In some cases, timeliness is asecondary concern while<br />

tonnage per week targets must beachieved.<br />

Despite the differences inoperation, acommon thread to train management is the issue of<br />

speed control and hence management of train momentum. For suburban passenger trains, speed<br />

must be managed to ensure timeliness and adequate stopping distances for signals and for<br />

positioning at platforms. For longer locomotive hauled passenger, freight, and heavy haul unit<br />

trains, the problem of momentum control becomes even more significant due to the larger masses<br />

involved. Ingeneral, itisdesirable to apply power asgradually as possible until in-train slack is<br />

taken up. During running it is desirable to minimise braking and energy wastage utilising coasting<br />

where possible. Route running schedules will limit the amount of time that the train can coast.<br />

Longer trains can coast over undulating track more easily than shorter trains due to grade forces<br />

being partially balanced within the train length. Stopping is achieved at several different rates.<br />

© 2006 by Taylor & Francis Group, LLC

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