Tuesday, October 30, 2012

147> Pearls of Wisdom

Well, I said I was going to start from scratch, and that is what I am doing. Sorry for the delay in getting a post out. There were some minor family medical emergencies. And even in the best of times, a total redesign involves a lot of time chasing (and drawing) ideas that turn into dead ends. My apologies also go out to any new readers, since it has been some time since I have even shown an actual PRT vehicle. I have been preoccupied with the bogie from which such a vehicle would hang, to the exclusion of everything else. So if you have been scratching your head wondering what you were looking at, now you know. But fear not, dear readers, for I return bearing pearls of wisdom… Well, OK… Let’s just call it food for thought…

One of the most important concepts that I have learned since the inception of this blog (and the many designs and redesigns within) is that it is counterproductive to design a single track profile that is supposed to handle every type of situation. It may not be the case with every type of PRT track, but for track that is contained within elevated beams to be both sheltered and yet have a minimal profile, a single track style is, I believe, a profound mistake. A uniform track profile limits the curves to larger radii, both vertically and horizontally, and limits the angle of ascent and descent. It even limits speed. The result is a system that is less flexible and therefore less able to meet a city’s needs. PRT should not be restricted in terms of routes or performance – Let’s leave that role for light rail!

The instinctual response to performance limitations is to try to design the bogie to allow the most capability within a given track profile. It is quite counterintuitive to have the track change in midcourse as a first choice, but many of the track’s contact surfaces involved in switching, climbing or tight turns are simply not needed in straight sections of track. Why go to the expense of including them throughout?


A prime example is the “cog” method of handling steep slopes. This is my preferred method for climbing with PRT, and it is noteworthy that once so engaged, none of the regular track surfaces are needed. The track becomes nothing more than an enclosed pair of racks and some guides (orange) to keep the teeth engaged. Note that the counter-rotating guide wheels are positioned quite closely beneath the drive wheels. Whereas they would ordinarily hit the underside of the running surfaces when the track curves sharply up or down, the fact is that such abrupt changes in pitch can only happen at very low speeds and a rack could be used instead of the running surfaces in those instances anyway. Therefore the interference between those guide wheels and the running surfaces is remedied by simply removing that feature of the track, not redesigning the bogie.

In the process of trying to achieve higher speeds, I was confronted with the fact that the small surface area of the various guide wheels would tend to wear out rather quickly unless they were quite hard, which is a recipe for a noisy system. (Yes, I know “hard” does not necessarily mean durable, but I am referring here to ordinary, reasonably inexpensive wheel materials here.) The preferred small profile of the beam that would contain them (and restrict their size) seemed to indicate that the system could be either noisy and fast or quiet and slow, unless, of course, one wanted to replace the wheels every couple of thousand miles. But much of the problem wasn’t really a problem at all; the answer lies in disengaging the steering guide wheels when not in use – not by retracting them, but by simply having the track’s engaging surface end.


It is tempting, when trying to enable tight turns, to assume the bogie must be short. After all, our experience in the automotive world has taught us that smaller vehicles are more maneuverable… right? Actually that is a false analogy. With cars and trucks the road or parking spot width is generally limited by surrounding real estate. In a beam-style PRT system, the width of the beam is kept as small as possible primarily for aesthetic and cost reasons, neither of which have much to do with short little low-speed sections of track for particular, close quarters maneuvers. If the bogie doesn’t fit in the beam because of the tightness of a curve, an alternative is to simply widen the beam in those spots. This point, in particular, has taken a while to sink in with me. While there are some other performance reasons to keep the bogie short, the very limited space between the front and rear wheels in my designs has made it a challenge to cram in the steering and emergency brake components. Below is a snapshot of a slightly longer bogie that has enough space for an upper set of counter-rotating guide wheels. A single, pivoting upper steering guide wheel shares the axle. Even this slight lengthening of the bogie would greatly limit the turning radius were the track to have a minimal, uniform profile.




As a final example, there is the matter of air resistance within the track enclosure. Track that is meant for slower speeds is generally also the track placed where people would find it most intrusive, and so it should be as skinny as possible, and indeed can be, because aerodynamic drag at neighborhood speeds is a very minor issue. High speed track, say running along freeways, could be fatter, allowing the bogie to slip through the enclosed air more easily. A fatter track profile has far superior geometry for spanning long distances, and this will probably offset any apparent increase in material costs of such fat track. Again, one-size-fits-all is not the best solution.

It may seem complicated to have track with multiple configurations, but such track would be factory made anyway. Therefore there can be a fixed menu of standard track sections that would be brought in by truck and basically dropped into place. True, seldom used profiles might cost a bit more, but at least the system itself can be adapted to all cityscapes, station types, and storage/staging solutions with minimal engineering effort. Such a scheme also makes sense in view of improvements in design and technology over time. Making the track offer the widest possible range of bogie design choices bodes well for the evolution of better, more capable vehicles over time. Even though these bogies are designed to essentially last forever, that does not mean that they might not be resold on a secondary market or repurposed for freight, opening the way for next generation designs. This won’t be the case if the bogie is so spatially constrained that there is no room for design variation.

In the early days of this blog, I thought the first step in designing a superior PRT system was to design the perfect track/bogie combination by studying the problem from an end-view. Now I have come to see that the best way is to study (in 3D) how to overcome the various limits first and come up with track/bogie for those, and then design for straight runs from there. So for those of you designing your own systems at home, I hope this helps. If you need me, I’ll be at the drawing board.









 




Monday, September 17, 2012

146> Big Wheels




Anyone who has followed this blog at all (especially recently) knows that I have been obsessing about speed and guide wheel size.  It all started when I realized, some time ago, that the bogie’s guide wheels, used for steering and just to keep the bogie centered on the track, were of a diameter that is inconsistent with the goals automotive speeds, and minimum maintenance, noise, and track profile size.
 Once you start thinking about commuting speeds and distances, you really need to be thinking in terms of parts that will last for tens of thousands of miles and while still being economical to replace. 

In this pursuit I have identified several key insights.  One is that the movable steering guide wheels must always engage inwardly, and so they can engage the track from its exterior.  This means they can be of diameters that would be difficult to fit otherwise.  This is, however, made less important by another key insight, namely that the duty cycle of steering guide wheels is extremely short-lived.  Switching tracks represents a very small percentage of the time that a vehicle is in operation.  In other words, steering guide wheels to not have a diameter problem, since they are infrequently used.  Another key is that the track surfaces that actually engage the various guide wheels need not be continuous.  Therefore guide wheels can be disengaged when not in use.  This leaves the constant-duty guide wheels which center the bogie on the track as the only ones with the size problem.

The centering guide wheels can face either inwardly or outwardly, but if engaging inwardly they must disengage for every fork – this is a compromise that is unnecessary if we put them on the inside of the track, engaging outwardly.  This, then, presents a problem with space because symmetrically opposed wheel sets each only get one half of the track’s internal width.  If that width is, say, 24 inches, the wheels must have a diameter not exceeding 12,(305mm) and that is pushing the limits a bit.  Sure, there are miracle plastics, but they are not exactly cheap.  Yes, it is close, and somewhat of a judgment call, but experience has taught me to design things better than they need to be.  A faster system, skinnier track, or a little less vibration/noise are all laudable goals.

Following this logic then, one way forward is to break from the symmetrical, mirror-image paradigm of ordinary vehicles so that these outwardly facing guide wheels can be nearly as big as the track is wide. I first proposed such non-symmetry way back in ’09, in post 56. The stacked guide wheels shown above are another, more maneuverable approach.



One footnote for those new to the site… if you have stuck around this far…  For simplicity’s sake there is a lot missing from the illustrations, so here’s a bit of explanation. This is the wheel geometry for a bogie from which a PRT passenger compartment may be suspended.  It is missing almost everything but the various wheels and surfaces under discussion.  The bogie is designed to switch tracks without requiring any movable track parts, as is typical in PRT designs.  The drive wheels are self-turning via hub motors.  

By stacking the guide wheels as shown above, they can be much larger than previous designs, and so allow those faster speeds, less noise/vibration, more infrequent and cheaper replacement, smaller track or any combination of these attributes.  I would go for a little of all of the above.  The results should be speeds up to 85 mph (187 km/h) on cheap semi-hard rubber or ordinary urethane (replaced every other time the drive wheel tires are replaced) with an interior track width of under 20 inches. (500 mm)

This design takes full advantage of the basic observations I have mentioned regarding these matters, namely, the fact that guide wheels used for steering are only used for a fraction of the time while centering guide wheels are in constant duty.  Therefore steering guide wheels can be a fraction of the size of centering guide wheels.  The track itself has completely different engaging surfaces for different purposes.  In the image above I have made the discontinuous elements of the track that are used in switching only dark blue. 







In this illustration it can be seen that no steering guide wheels need to be engaged away from switching points. The upper steering guide wheel’s duty is replaced by a larger fixed wheel held captive by a pair of diamond guides. Here we rely on the fact that the pressure on these guides is very low, or else the urethane sidewalls of this wheel would be the first to go… alternatively a pair of inwardly angled wheels could be used if the front and back wheels are separated enough to allow the space.  I want to study tight track curvature applications more before committing to this. 





This pic shows the track’s divergence at a “Y”, with the bogie being fully supported while traveling in a “half-track” mode. Unfortunately, the upper steering guide wheel is nearly hidden, but it is engaging the left pipe.





Finally, here is how we could further increase our speed for still longer range travel. For high-speed travel where there are no interchanges, ALL of the regular guide wheels could disengage by having their
 engagement surfaces end. Instead, all centering would come from two sets of exterior, retractable wheels, as shown the diamond track of post 141, In this scenario these wheels would retract far in advance of any interchanges so speed through interchanges would be limited to (roughly) the regular top speed. This is, of course, well down the road. An upgrade path!

One last observation: The sprockets on the main wheels that I show are for climbing, not for drive chains. This detail… where the bogie can be fully supported by “pinion” gears driving over a guiding “rack,” means that the floor (drive surface) of the track can be removed, as well as any other internal surface feature that would restrict maneuverability. Thus the bogie can turn extremely tightly, including up or down, without the guide wheels hitting anything, so long as it isn’t too long.