Alfred Evert
Swinging circle track

Confusion
Crop circle picture ´Threefold Halfmoon´ at fist, looks like wheels would turn around. If all elements are interpreted to be gear-wheels resp. gear-rims, a translation of astonishing exact 1 to 2 does result. However, for this function, a simpler design would do.

On the other hand, if all elements would just glide on within the other, so diverse combinations of parts without any relative motion could move within other parts. So, some space separated into several parts would make no sence.

Third, if but the ring-shaped parts - in relation of their radius - would turn one within the other or even could swing free, so all parts should have to overtake one the other. Also chaotic motions could occure resp. all massive parts would assemble outside - and then crash to the outside border of the picture.

So, analyse of this picture, not at all was a simple task. So, long time, I looked but at few parts, mostly did investigate but the outer elements.

Also these two concentric circles at the middle make problems. If an engine here would be shown, then this could but mean the input and output unit, two shafts. Generally, but innerst and/or outmost elements would show the input or output device, naturally.

De-confusion
Within workouts ahead, diverse terms were introduced. However their meaning did change some time. Also color-symbolic could not be steady all time. This happened, cause these workouts do show the developement of my conciderations, not retrograt looking but the result. While drawing these pictures and writing these texts, I got that understanding, step by step. Every some sections, I put it to the web - hoping (in vain) people would help me. I hope, at the very end all stuff will be crystal clear. At this moment, if these terms above are used to the crop circle picture, e.g. analog to Excenter-ring-maschine, this assembly of parts would exist:

Central the system axis (SA) will be, in shape of a shaft (SW). At this shaft, excentrically the rotor-arm (RT) is installed fix, both at a whole practically will look like a crank-shaft. Around this conctructional element, the rotor is arranged, here existing of two parts: first the rotor-ring (RR) and second the rotor-sickle (RS). Again outside this assembly, the excenter-arm is arranged, again this space devided into two parts: the excenter-ring (ER) and the excenter-sickle (ES). The excenter-arm, withing the housing (GE) would turn.

When now the crank-shaft will turn, some time later, the rotor-arm e.g. will show to opposite side (here to left side), then between rotor-arm and housing (GE) a narrow pass would be. Two ´thick´ sides of other elements there no more would fit in. That space could e.g. only be taken by the excenter-sickle (ES), as shown at EVSK 01 below.

Diverse times it was determined, the excentric axis (EA) should have to turn around the system-axis (SA). That outer ring, above mentioned to be the housing, thus also should be turnabel. That design element above was called cylinder (ZY), now asssumed to take the place of housing (GE) above.

However, even then that bottleneck-situation between cylinder and rotor-arm still will exist. Bottlenecks can be positive, are an essential organisational element for example at Swivel-arm-maschine above. However, then astonishing (and hard to work out) consequence will be: excenter-ring and -sickle (and analog to this also rotor-ring and -sickle), both can not turn around the center. Motion thus have to be other kind, e.g. just changing-positions, one part taking the postiton, the other part earlier had.

Turn and Swing
So when the excenter-sickle (ES) from its position right to left shall turn, the excenter-ring (ER) will be shifted to right by the width of the excenter-sickle (when so far, the position of cylinder will be unchanged and also the constellation within the excenter-ring will be not looked upon).

The excenter-ring, this shift-movement can not do linear. When the excenter-sickle will go up (counter clockwise), the excenter-ring has to move a little bit down-right side. When the excenter-sickle will move from top to right, the excenter-ring must move to right and upside again to the level of the system axis.

So, here will result remarkable motions: each mass point of the excenter-sickle, naturally will move at a circle track around the excenter-axis (EA), each mass at its radius (alongside the inner wall of the cylinder). The excenter-ring however, just will make a little motion (giving space) at a circle around the excenter-axis. The center of the excenter-ring, ahead was called rotor-excenter-point (RE). This center-point, thus will move at a narrow circle track around the excenter-axis. By this, all mass points at the excenter-ring will also move but few distance: each one will swing around its own center-turning-point, but by this small radius (the systems excentrity).

That point of view, now completely new will be within that analysis ot this subject. Up to now, all parts were looked at to turn around any axis, so every mass point of that part shall also rotate around that axis. Now, a motion will be demanded, an element showing all time towards same direction (here, e.g. ´thick end´ of excenter-ring all times to right side). All mass points of this element thus stay within its local area, each mass point just will swing around at a circle track with small radius.

To differ these motions, in future, rotating of an element around an axis will be called ´turning´. Opposite, this new kind of motion by small radius will be called ´Swinging´´.

Simple crank-shaft
The outer circle of excenter-ring does swing with its center (RE, rotor-excenter-point) around the excenter-axis (EA). As now all mass points of the excenter-ring, that kind also will swing, and thus also the inner space (resp. the inner circle, here marked by thick blue circle) will swing. The center of the inner circle of excenter-ring, earlier was called rotor-axis (RA).

As here the excenter-ring, all time will show into same direction, positions of both center-points relative to each other will be constant. The rotor-axis, here will always be left to the rotor-excenter-point, the distance will be system-excentrity. Thus, the rotor-axis will swing around the system-axis.

To drive the outer elements (cylinder, excenter-sickle, excenter-ring), thus a body is demanded, corresponding to the inner surface of the excenter-ring. That body has to swing around the system-axis (SA). At the crop circle picture, this space is occupied by diverse elements (rotor-sickle, rotor-ring, rotor-arm, rotor-shaft). That drive-input-function of outer elements, at first could be done by a simple crank-shaft too. So, at first, rotor-arm (RT) can be thought, to take also that space of rotor-ring and rotor-sickle too.

Here at EVSK 04, by a shematical longitudinal-cross-section view, again these design elements are shown. The system-shaft (SW) will turn around the system-axis (SA), at which fix installed the rotor-arm (RT, upside showing left) will be. Center of rotor-arm differs towards system-axis by system-excentrity, so same time center of the inner space of excenter-ring (ER). Excentrity of outer ring of excenter-ring and excenter-sickle (ES) as well here do show to right. Same time cylinder (ZY) will show to left.

Below, opposite stiuation is shown, i.e. the rotor-arm (RT) here will show to right side. However, but the excenter-sickle did make a half turn around the excenter-axis (EA), while the excenter-ring (ER) just did move some small distance towards right.

Excenter-ring and excenter-sickle as a whole have a common center at the excenter-axis. So they can do these motions also, when the cylinder (CY) will turn around the system-axis too.

By this, at first, reduced constellation, next the movements and power-effects shall be investigated.

Results
Essential knowledge now will be, at the crop circle picture not at all every part will turn around the center, but some parts will do but ´compensating´ motions. Mass points of these parts do swing at relativ narrow circle tracks. Thus, there will be quite new point of views with regard to intertia-power-effects.

These basic motions will be overlayed by additional turning of the cylinder. Above this, diverse motions will thus exist at the inner areas. At first however, but the other parts should be analysed to checks, what´s about such an Excenter-Swing-Maschine.

Evert / 14.03.2000

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