Essential theoretical basis of sling effect here investigated, Threefold-crank-concept above still will be. By that system of pendulums and bearings was achieved, the effective mass to move at that apple-track wanted.That crank-confusion, technically to design much easier, these bearings step by step were integrated one within the other. As a last version, Excenter-Ring-Maschine above was designed. At the Animation of that maschine, one could see, the effenctive mass no longer does move at a apple-shaped track, but at outward- and inward-turning spiral tracks.
Lever arms
Reason of that, the relations of lengths of lever arms are: at this maschine, the rotor-arm (RT) as well as the excenter arm (ET), much shorter than the radius of the rotor-whell (RR) is, cause this rotor whole system axis completely includes.
Instead of the inner dead point at an apple track, thus that inner loop track will exist, at which a mass point of the rotor wheel will move. Here again, that track in principal is shown for a mass point quit outside at the rotor wheel (other mass point move at analog tracks, however at curves more flat). The positions of that rotor-wheel radius are shown after each 18 degrees turning of the rotor arm, while the system shaft here will turn 180 degrees as a whole.
The mass will move at this inner loop with relativ steady speed, here e.g. from right-inside (3-o´clock-position) downwards (e.g. to 7-o´clock-position). Beginning here, turning of rotor-wheel will excellerate intensively. From 20-o´clock-position, angles-speed will accelerate each time a quater. Right-side-outside, this mass point will run some 60 degrees within a time-unit here.
Thus, remarkable acceleration will be - and naturally corresponding deceleration at the analog inward turning spiral track. These motions are controlled fix, must be done mechanically forced. When bearings are constructed well, this maschine will move correspondingly.
However, it might come to self-locking situations and it´s a question, that system should not have more possibilities to move as it likes to, by itself. The only phase problems could show, that´s but the end of outward slinging, here from right side upside (nearby 1-o´clock-position) to right outside (3-o´clock-position). There, the sling-effect no more will bring acceleration, so mass of rotor-wheel there might not like to follow the predicted motion.
Design elements in principle
At figure EVSB 02 the cross-sectional-view of Excenter-Ring-Maschine above, once more is shown: central around the system axis (SA), the rotor-arm (RT) is installed, practically in shape of a crank-shaft. The rotor-wheel (resp. rotor-ring, RR) turns around the rotor-arm and, secondly, is guided at the rotor-excenter-point (RE) by the excenter-arm (ET). That excenter-arm will move concentric around the excenter axis (EA), cause turnable mounted at bearings of the housing (GE).
Opposite to above, here the rotor-wheel and the excenter-arm, at their narrow parts are designed stronger, relatively broad. Compared with above, so the effective mass will be placed some more inside the system. Here for example, the effective mass of the rotor (near RR) is marked at its outmost position, so here right side. There the mass will move with highest speed. Correspondingly and opposite, the mass concentration of excenter arm (near ET) will move most fast. Once more, these design elements are shown at same positions and relations at figure EVSB 03.
Rotorring and Rotorsickle
That self-locking-problem above, now could be solved, when the rotor-wheel could be designed ´elastic´, show some flexibility. Here now, that area the rotor-wheel (RR) above will take, into two design elements is divided.
On the one hand, still a rotor-ring does exist, but now with an other excentrity (RR, here left, that space within the grey circles). The remaining space, a sickle-shaped body will take, here called rotor-sickle (RS, within these thick red circle-bends).
As both bodies, one within the other, are turnable relativ to each other, thus both parts can take positions independant from each other. When both are turned versus each other, so there is no longer a common staight diameter. So, within critical phase mentioned above, the mass could stay behind the predicted motion some kind. Here for example, the rotor-sickle wouldn´t have to show totally to the right.
Excenterarm and Excentersickle
This lag-behind (coming-late) of rotor-mass resp. that changed position of the rotor-sickle, naturally but can happen within that space towards the excenter-arm (ET), this element will allow to use. So, rotor-ring and rotor-sickle but may move relativ to each other, when also the excenter-arm is design flexible in corresponding manner.
So, with corresponding excentrity and same range, here the area of excenter-arm above now is occupied by two elements: at the one hand there is still an excenter-arm (ET) in shape of an excentric ring, whereby its excentrity now also does show to opposite direction. On the other hand, now a corresponding sickle-shaped body is created, here called excenter-sickle (ES).
At EVSB 04, same design is shown, now however with the rotor-mass at its most inside position, thus the starting position of the outward-sling-phase.
Smooth transition
This new approach of motions with the rotor-mass lay-behind at its outmost track, not at all will have negative effects concerning power-transmission. The rotor-mass but will overtake the rotor-arm some later, while the excentric-arm did run further ahead. Deceleration of rotor-mass thereby will even work at a better angle towards the rotor-arm.
Above was shown, the mass at its inner loop, will move by relative steady speed. That whole phase thus is available to the system, for compensation that coming-late of mass. Even here, the sickles could stay behind. At least at the sling-out-phase, sling-effect automatically will bring acceleration - until nearby the outer track point.
These additional freedom of motions, by these new design elements, thus will produce a smooth transmission from acceleration- to deceleration-phase. In addition, that relativ unproductive inner loop, now will show a much calmer motion with delay and acceleration again. Third, also that track of sling-out the mass, no more is determined completely. The mass by itself can chose its ideal track.
Masses stay behind
At EVSB 05, now the situation at the end of sling-out is shown. Compared with figure above, the excenter-mass (near ES) did a half turn. So, the mass of the rotor-sickle (near RS) should have done a full turn and now should be at its outmost position. Here for an example, it stays behind some 10 degrees.
The position of the rotor-wheel as a whole is determines by the positions of rotor-arm and excenter-arm. These positions here still are same, by the positions of rotor-ring (RR) and excenter-sickle (ES).
That area outside the rotor-ring and inside the excenter-sickle, the rotor-sickle (RS) and excenter-arm-ring (ET) will take. Within that area, both parts can take positions as they like it.
Here is shown, the rotor-sickle may stay behind, when same time the excenter-arm-ring will run ahead its normal position. That´s absolutely possible, cause that one does not show high accelerations.
So, effective mass will but be the rotor-sickle and the excenter-sickle. So these both parts should be constructed heavy. The rotor-ring, opposite, but has control-functions, can be constructed light. Also the excenter-arm-ring but has to give space for motions, thus also can be constructed light.
Results
Introducing these new design elements of rotor- and excenter-sickles, motions of effective masses no longer are determined so strict. The stiff control of Excenter-Ring-Maschine with its critical phase at highest acceleration, thus no longer does exist. Effective masses, now may follow that track, relation of effective power will chose.
In principle, motions still will be outward- and inward-turning spiral tracks. But that outmost track-curve will be more flat. Power-effects by this won´t be changed. Only that acceleration to highest speed no longer will be neccessary (the system at a long lever arm had to produce this acceleration - in order to decelerate it immediately afterward). So these problematical and unproductive phase is eliminated, the systems motions thus much more effective at a whole.
By this concept, first time is achieved, amount and shape of all design-elements completely do fit to the crop circle picture Threefold-Halfmoons. At the beginning, but the sickles or the rings was looked at to be design-elements. Now, rings and sickles as well are design-elements with well defined functions.
Remark: by this developement, used colors of elements did change. So not all pictures here can be compared one-to-one.
There is but one difference remaining between construction here and crop circle there: sequence of sickles and rings differ and excentrities do show opposite directions. That version here could run, by sure - but at that crop circle still are hidden some other motions.
Evert / 03.02.2000
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