Hi all I haven't checked the programs but many times a problem with many degrees of freedom have been well explored with genetic algorithms. Cheers Rodger Sent from Rowlf On Apr 17, 2011, at 11:04, Vi Vuong <vi_vuong@xxxxxxxxx> wrote: > Hi Ray, > > Thanks for sharing the program. Is there a way to automatically grind > through the 18 parameter space, and save the output? I think we need to find > stable speed between 4-8mph to run along with the experimental bike. The > console output > velo A B C D E #6 #7 > m/k 10**8 10**9 10**9 10**9 10**10 10**20 10**26 > suggests that when colunm #6 and #7 both go positive then we have stability, > and can be used to search the parameter space. > > Vi > > From: RayS <rays@xxxxxxxxxxxxx> > To: python@xxxxxxxxxxxxx > Sent: Sun, April 17, 2011 8:01:36 AM > Subject: [python] Re: A Bicycle Can Be Self-Stable Without Gyroscopic or > Caster Effects > > Interesting thread - the self-stability program I wrote > http://rjs.org/Python/FrameGeometry.zip > shows the effect the researchers wrote of pretty clearly. It does also have > input for rim/tire mass (mouse over the boxes for explanation). > If a python's: > - front mass is at least 45cm in front of the pivot line > - rear mass is <24cm to rear axle > - trail <11cm > -wheel mass is low > it is nearly neutral. > All these things have been covered on the list one way or another, except > wheel mass. > Panniers off the back, shifting weight backward, reduces self-centering force > on the pivot. > Weight in the very front can increase some desired flop, but is a sensitive > factor and makes slow riding more tiresome. > Trail should generally be minimized. > Importantly, the dynamics are very sensitive to wheel mass; heavy wheels, > especially the front, eliminate any chance of stability! If you think about > it, gyroscopic effect prevents the front wheel from responding to lean, which > is what gives bikes stability; it actually turns the forks the opposite way > when leaned. > > Remember all this has to do with self-stability, and not necessarily how a > python "feels" to ride using leg steer. Note that in the attached I set the > pivot torsional K to -7; a small opposite force like your hips make when > riding the python which counters the self-center effect. It then has a wide > range of stable speed. The further mass is from the rear axle the more -K is > required, and the lower it is the less stable. > > It would also be interesting to let the code grind through all reasonable > combinations of the 18 variables used and see where the islands of stability > are. > > Ray