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Stability of Leading Trucks

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Stability of Leading Trucks
Posted by ShroomZed on Tuesday, February 18, 2020 10:36 AM

In the nineteenth and early twentieth century steam locomotives that were designed for high-speed running were almost exclusively built with a four-wheel leading truck for high-stability. This trend started to change in the 1920's however when increasingly more locomotives were designed for high-speed running with just a two-wheel leading truck. 

Can someone explain the advances the occurred to allow this to take place? What exactly were the technology advances to allow a two-wheel leading truck to be remarkably stable at high-speeds? 

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Posted by Overmod on Tuesday, February 18, 2020 10:54 AM

ShroomZed
Can someone explain the advances the occurred to allow this to take place? What exactly were the technology advances to allow a two-wheel leading truck to be remarkably stable at high-speeds? 

Keep in mind that this is a strictly relative thing.  While it is certainly possible to design an effective two-wheel lead truck for 'true' high speed, it's still geometrically unstable (perhaps a better term would be 'metastable') meaning that anything that perturbs the truck laterally has an increasing tendency to keep it turning further and further.  This is particularly concerning if lateral resonance of any kind develops (think about what happens if you're walking with an appliance and the cord starts to bang back and forth between your calves) and, while there were some interesting experiments in damping some of these tendencies in primary 'lateral' suspension (most notably with Fabreeka pads and later 'chevron' composite springs) you are still left essentially with (1) three-axis progressive control, and (2) effective three-axis damping of developed motion, in order to make high speed practical.

A good place to observe the 'right' approach is the lead truck of preserved N&W A 1218 in Roanoke.  Here you can see, for example, how the equalization weight is provided right over the axle, via a single center-mounted bar, so that lateral roll of the axle doesn't selectively load and unload wheels and promote dynamic couples in the pivot.  It still depends largely on high applied weight preload and friction for its 'damping' however, which works reasonably well in vertical accommodation up to a point and provides reasonably strong progressive correction for deflections far from 'center', but does little for small-period oscillation off 'center', particularly in the regime before obligate flange-bearing commences (which it does fairly rapidly in most steam locomotives, as the lead truck is essentially helping to steer the first driver pair into curves...)

If you read about the Bissel truck, you will find out a great deal about inherent dynamic stability, but you may not read about the correct truck wheelbase and pin position for proper dynamic tracking.  (We had some material specifically about this in the Yahoo Group steam_tech files, but it's gone now...)  In my opinion, proper geometry is the reason the LS&MS Prairies were as successful as they were in providing real high speed, among the highest speeds in America at the time, while other railroads had more or less abject failure compared to a good pin-guided Adams truck with controlled lateral.  (But anything that through wear or accident started that truck oscillating would be dangerously and progressively unstable as far as reasonable guiding integrity is concerned!)

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Posted by Paul Milenkovic on Tuesday, February 18, 2020 12:39 PM

As to "what changed" to allow higher speeds with single-axle lead trucks, Semmens and Goldfinch "How Steam Locomotives Really Work" claims that a change from "swing links" to a spring to provide the centering force helped avoid the derailments blamed on the lead truck.  They cite the example of the British V2 class, a 2-6-2 that we would call a Prairie type but in Great Britain, they just called it the "V2 Class."

The explanation offered by Semmens and Goldfinch is that you need some kind of centering force on a lead truck, especially a single-axle lead truck.  If you provide the restoring force from gravity acting on lateral swing links, pushing those links sideways has the effect of lifting the lead driver off the rails, leading to the derailments.  When the V2 was changed over to a centering spring, they more-or-less stayed on the rails.

As to the stability or lack thereof of a particular wheel arrangement and suspension system, you would have to run a simulation in one of those fancy software packages to make sure, and even the software packages are making simplifying assumptions regarding complicated effects of friction and wheel-rail "creep."  But in later-generation steam, you could figure that based on experience, later designers had design rules to follow that gave them something that worked, but one of the things they were doing was using in some cases rather stiff centering springs.

If GM "killed the electric car", what am I doing standing next to an EV-1, a half a block from the WSOR tracks?

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Posted by Overmod on Tuesday, February 18, 2020 12:55 PM

Centering springs are such a wrong answer (except perhaps in Britain, where locomotive suspensions characteristically and often painfully lack full equalization) that it almost beggars the imagination.

There is a very famous story about the Reading experimenting with this 'approach' on one of their 2-10-0s, right around the time of their dramatic fiasco with building a 4-4-4 express locomotive (with a couple of those "stable" pin-guided trucks helpfully fore and aft of the short driving wheelbase -- HAS to be genius, right? ... oops).  They were 'smart' enough to know that the spring had to be relatively long (similar in practice to what's in one of those Wagner bypass valves on ATSF locomotives) and they neatly had opposing springs, nice strong ones to counteract the nosing from high piston thrust, to keep the truck on center all the time and make sure it was self-restoring through chassis guiding on curves.

What they forgot was oscillation.  The damn thing slammed so badly that someone had to come out and autogenously weld the spring arrangement on both sides even to get the test over the road.  Perhaps tellingly we never see this approach being tried on the Reading ... or elsewhere in American practice ... again.

There are actually three separate things involved here (remembering that the truck is not dynamically stable even in small-period perturbance):  there's a need to keep the truck tread-guiding for very small excursions, then a need to provide relatively stiff correction outside of that small range up to a few inches, then the need to provide strong and progressive compensation as the angle between truck and frame increases in spirals or curves.  By comparison, look at the forces involved in a good Delta-style truck arrangement, where rockers or even sector gears are provided to use the weight of the back of the locomotive as the 'restoring force' as the truck takes up an angle and the rear moves out relative to the frame.  Here the 'assumption' is that the truck will guide straight because it's trailing the pivot ... but that doesn't work if, for example, you have a Woodard-style articulated or long two-axle trailer 'calculated' for imposed weight distribution rather than correct Bissel axle and pivot geometry.  There you actually have to let the forward axle 'float' laterally (with full weight on it!) and the rear wheelset flanges do all the steering job imposed by the rockers ... probably not with either the tread taper or flange profile 'tangent' to the contact face of the rail...

What is "needed" is precisely what later designs of passenger-car truck got: viscous tribology on a centering plate for the very-small-period centering stabilization, a combination of friction and hydraulic damping to make 'spring' small-period correction a working and non-resonant 'thing', and to control the further (gravitationally-compensated) swings.  We never did quite see steam locomotives designed with that refinement ... but it would be just as appropriate as it is on current diesel-electrics.

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Posted by ShroomZed on Friday, February 21, 2020 11:27 AM

Overmod

 

 
ShroomZed
Can someone explain the advances the occurred to allow this to take place? What exactly were the technology advances to allow a two-wheel leading truck to be remarkably stable at high-speeds? 

 

Keep in mind that this is a strictly relative thing.  While it is certainly possible to design an effective two-wheel lead truck for 'true' high speed, it's still geometrically unstable (perhaps a better term would be 'metastable') meaning that anything that perturbs the truck laterally has an increasing tendency to keep it turning further and further.  This is particularly concerning if lateral resonance of any kind develops (think about what happens if you're walking with an appliance and the cord starts to bang back and forth between your calves) and, while there were some interesting experiments in damping some of these tendencies in primary 'lateral' suspension (most notably with Fabreeka pads and later 'chevron' composite springs) you are still left essentially with (1) three-axis progressive control, and (2) effective three-axis damping of developed motion, in order to make high speed practical.

A good place to observe the 'right' approach is the lead truck of preserved N&W A 1218 in Roanoke.  Here you can see, for example, how the equalization weight is provided right over the axle, via a single center-mounted bar, so that lateral roll of the axle doesn't selectively load and unload wheels and promote dynamic couples in the pivot.  It still depends largely on high applied weight preload and friction for its 'damping' however, which works reasonably well in vertical accommodation up to a point and provides reasonably strong progressive correction for deflections far from 'center', but does little for small-period oscillation off 'center', particularly in the regime before obligate flange-bearing commences (which it does fairly rapidly in most steam locomotives, as the lead truck is essentially helping to steer the first driver pair into curves...)

If you read about the Bissel truck, you will find out a great deal about inherent dynamic stability, but you may not read about the correct truck wheelbase and pin position for proper dynamic tracking.  (We had some material specifically about this in the Yahoo Group steam_tech files, but it's gone now...)  In my opinion, proper geometry is the reason the LS&MS Prairies were as successful as they were in providing real high speed, among the highest speeds in America at the time, while other railroads had more or less abject failure compared to a good pin-guided Adams truck with controlled lateral.  (But anything that through wear or accident started that truck oscillating would be dangerously and progressively unstable as far as reasonable guiding integrity is concerned!)

 

I'm not extremely familar with bissel truck construction and how equalization weights are distributed, so is there anywhere where I can see how the weights are distributed on 1218 clearly? 

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Posted by Overmod on Friday, February 21, 2020 12:31 PM

ShroomZed
I'm not extremely familar with Bissel truck construction and how equalization weights are distributed, so is there anywhere where I can see how the weights are distributed on 1218 clearly? 

I don't know of a good source of detail pictures, but I wouldn't be surprised to find they exist, and that someone N&W-centric like Big Jim or feltonhill can provide a link to them.

The initial point of a 'Bissel' truck, properly defined, is to provide a laterally-pivoting frame that has its pivot point aft of its wheels, and upon which some portion of the locomotive's weight can be imposed.  The geometry of pivot point and frame length is arranged so that the truck's flanged wheels can remain precisely parallel to the track as the engine negotiates curves (usually this is taken as relative to the midline of the engine's rigid wheelbase, not the first driver pair).  This of course is part of the operating 'principle' of good radial-steering diesel-electric trucks.

Added to this is the sense of providing self-centering, as early Bissels which lack this quality are dynamically unstable -- the further they hinge outward, the more they tend to diverge further, like backing a two-wheel trailer.  This can be done via springs, but for a variety of mechanical reasons (some of which I gave) this is not the best way to provide centering; arranging some method of swing links (either hangers or inverted) upon which the weight of the engine can be provided is the 'usual' method of performing "steering" return to center, but you will recognize that any lost motion in the link mechanism will produce some "wandering" around center which can be driven into oscillation.  (Prof. Milenkovic is one of the world authorities in kinematic linkages, so I defer to him both in characterizing this better and in producing better methods of 'hinging' a two-wheel lead truck across the range of necessary accommodation while performing active guiding of the front of the locomotive chassis as well.

Equalization of locomotives is sometimes understood as a kind of dark magic, complicated by the metastability that some setups have that can produce 'tilted equalizers' requiring the locomotive to be physically lifted off the suspension to reset.  The idea is to produce a combination of mutual levers between the axles, with the actual suspension springing acting only on them and not on the axleboxes directly, so as to allow the suspension effects of poor or uneven track to be 'shared' between axles -- in some modern locomotive design, this is interrupted across the center of the driving wheelbase but extended out to the relative truck axles at each end -- the lead truck being equalized with the forward driver pair, the trailing truck with the latter.  You will note that the 'original' PRR T1s were built with a large central equalizing beam tying the forward and rear engines together, but this was eliminated on the 'production' engines... and never missed.

1218 does this division across the driving wheelbase 'naturally', as there is no equalization across the Mallet-chassis 'hinge' and therefore in a sense the equalization is that appropriate for a large 2-6-0.  What is special about the high-speed arrangement is that the equalizers on either side of the locomotive at the front, behind the cylinders, are tied side-to-side and there is one single pivoted lever that carries up to a bearing point at the lateral center of the truck frame -- it is on this that the entire vertical load on the truck by the weight of the engine is imposed.  Having it in the center does what I said before was a desirable thing; keep in mind that the primary suspension of the truck (as N&W late practice builds it) has relatively long springs made possible by special deep pockets in the cast frame, and can have 'snubber' springs of opposite helical wind and carefully different spring rate nested in them as modern high-speed three-piece freight-car trucks do, so there need be no weight-transfer or guiding instabilities imposed on the truck by even fairly substantial cross-level issues.  The 'catch', of course, is that allowing cross-level 'articulation' by the truck frame itself requires more careful compliance and damping in the pivot construction for the truck to be stable under all conditions of high speed.

There's been an interesting conversation over on RyPN about the 'wheel balancing shed' scalehouse at Spencer, NC -- this is a facility where the weight distribution on equalized engines could be carefully determined and properly adjusted via strategic shimming via a setup of lever balances corresponding to each wheel in an equalized group.

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Posted by Backshop on Saturday, February 22, 2020 8:41 AM

Is the OP's hypothesis even correct.  Even until the end of steam, the really high speed passenger locomotives were still built with 4 wheel lead trucks.  Witness the Hudson and Northern.  In articulateds, the Big Boy and Challenger also had them.  There were exceptions, like the NKP Berks and N&W A's.

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Posted by Overmod on Sunday, February 23, 2020 12:26 PM

Backshop
Is the OP's hypothesis even correct.

Depends on the definition of 'high speed' you want to use.  By normal railroad standards even 45-50mph might be considered 'high' and I suspect that most freight speeds in the pre-truck-competition era, outside M&E or the organized fast-freight lines and services, was as slow as bean-counting cheapness could allow it.  

Naive approaches to centering a dynamically-unstable truck were not very happy ones.  The 'revolution' in high-speed Prairies and 'bicycles' was not very long in duration, despite some amazing propaganda for the likes of the LS&MS Ks; the answer of course went in two famous directions here (the Pacific being a Prairie with a four-wheel lead truck, and the Atlantic being an engine as boiler-capable as any six-coupled  Ten-Wheeler but with higher-speed machinery at the time).

The effective safe limit of a weight-centered truck is high, but not very much above the 70mph or so a good AMC Berk could reach.  I suspect the finest flower of this would have come with the use of the lightweight-rod-equipped N&W As in competition with the C&O steam-turbine Chessie train to Cincinnati -- the thing I think they were built to provide.  Perhaps there is some record at NWHS of testing of these locomotives, which could -- nominally -- have been as fast mechanically as the comparably-equipped J class, with less rotating and reciprocating mass per main, and which would have allowed easy analysis right up to the limits of any contemporary approach to 2-wheel leading-truck design.  In particular the application of Fabreeka transverse shear 'springing' between axlebox and riding springs takes on added interest in such a context... as would the arrangements made to isolate weight centering of the truck as a whole from short-period motion of the wheelset itself. 

Studies have been made of what a 'true' high-speed lead truck would look like; many of these are almost like a throwback to the old days of composite trailing trucks where flexibility and weight reduction were considered significant.  Again the issue is that high-speed guiding effectiveness (as in modern low-unsprung-mass truck designs on locomotives and cars) is not the same thing as effective chassis steering (and yaw damping) as reciprocating-locomotive practice, especially with overbalance, requires.

Note that the four-wheel lead truck does not strictly require 'pin' guiding to work, nor does it have to be centered under the cylinders for best stability.  Both those things are often expedient for a practical design of minimum length -- which is a very important consideration when cantilevered length at the other end may be required to fit adequate tender capacity onto limited turntables.  (The L&N M-1, in all other respects a capable 4-8-4, was given a high-speed 2-wheel truck for just this reason.)

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