CN1633560A

CN1633560A - Dynamic wheel group having moment difference

Info

Publication number: CN1633560A
Application number: CN03800628.6A
Authority: CN
Inventors: 李兆元
Original assignee: Individual
Current assignee: Individual
Priority date: 2002-03-29
Filing date: 2003-02-27
Publication date: 2005-06-29
Also published as: CN1384284A; AU2003213344A1; WO2003083296A1

Abstract

The invention relates to a dynamic wheel group having moment difference, it combines the physical fundamental with the lever mechanism, and it can transform energy. The force caused by the object's weight or volume acts as the force of initial moment in the lever mechanism. In each dynamic wheel element of the lever mechanism, the initial moment is transformed into the ultimate moment via coupling action and lever fundamental, and the objects move to a positive work point from a negative work point. The line of zero moment is offset, so all ultimate moment and the initial moment out of a certain range are collected to give a net moment, and the rotary energy can be transformed into the output energy.

Description

Dynamic wheel group having moment difference

Moment difference movable-pulley group

Technical field：

The present invention relates to a kind of moment difference movable-pulley group（Refering to Fig. 2), basic physics theory is especially applied in lever combination machinery by abbreviation power differential gear group, and carries out the dynamic power machine of energy form conversion

Background technology：

The mankind yearn for very much to the inexhaustible energy, are to be sought for making permanent mechanism from Middle Ages, but fail.After Industrial Revolution; demand to the energy increasingly increases; largely cut coal, the result of the natural fossil fuel such as oil; then energy crisis twice has been there occurs since in 1973, the mankind start to be directed to the exploitation of other energy afterwards, there is solar energy, wind-force, underground heat etc.; but such energy is not because of the limitation of regional condition; be exactly because benefit is bad, and can not extensive use, and nuclear energy suffers Human rejection because of well-known factor.

The content of the invention：

Therefore, other energy sought at present need that inexhaustible, the nexhaustible double condition with not polluting natural environment can be met, and could be popular receive.The object power differential gear group of the present invention is arisen at the historic moment then, and it can meet above-mentioned double condition, can alleviate the crisis of the energy.

Power difference wheel（Refering to Fig. 3, Fig. 4 is Fig. 3 reverse side figure）It is the aggregate of some same shaft levers, it is also the elementary cell for constituting power differential gear group, each power difference wheel is to be formed by a rotating shaft level through two radiuses for R inscribed regular polygon structure, and axial distance of this two regular polygons structure with relative spacing slightly larger than weight length L is fixed in rotating shaft;It is R/2 by several radiuses, a length of L, density is D, cylinder is axially that the axle of weight two ends protrusion is sling with a length of R suspension rod along the radial direction of cylinder with the cylinder of power differential gear shaft parallel, and the other end of suspension rod is respectively to be equidistantly hung on two of two regular polygon structures reciprocity summits, the level of suspension rod upper end justifies the one of wheel through axle by fixed sectors tooth End is referred to as the structure of suspension rod tooth branch wheel 12, wherein have using the axle center as the sector gear of the Round hearts, pitch radius for ^, in initial some angles and another fixed sectors tooth circle wheel 11 in particular range, it is the Round hearts, saves Round radiuses as r using power difference wheel rotating shaft₂The external gear group for the sector gear composition+r^R for fixing and not rotating；And in branch wheel free to rotate in other parts in particular range, suspension rod tooth branch wheel, then it is r to need to be external in radius in fixed sectors tooth circle wheel₃Fixed sectors circle wheel.

The present invention is that the general principle of physics is applied in lever combination machinery, and carries out the dynamic power machine of energy form conversion, the invention is characterized in that by weight of object or bulk factor（Buoyancy can be obtained in suitable water）Obtained by masterpiece be lever combination machinery in original torque power source, and in each unit driving wheel of lever combination machinery, in particular range, by coupling, lever principle, it is final torque by original force torque conversion, then offsets the boundary line that script torque is zero（Refering to Fig. 1), collect the skew all final torques in boundary line both sides and obtain net torque with the original torque outside particular range, as rotational kinetic energy is mechanical as the lever combination of output.

By coupling in particular range in each unit driving wheel of the present invention, moment arm can be made to change therewith, and utilize thick stick pestle principle, the object that script makees negative work is transferred to and makees positive work part.

Advantages of the present invention is：

Because energy obtained by gravitation torque is the natural energy source existed with space object, therefore is also inexhaustible, the nexhaustible energy by the rotary power that gravitation is converted into by power differential gear group.

Power Cha Dong Lun Group, are, using gravitation torque as the source of itself power, to be not required to other fuel, therefore power differential gear group, it is adaptable to any environment, are not also polluted the environment.Drawing explanation：

Fig. 1:Zero moment line skew schematic diagram

Fig. 2:Moment difference movable-pulley group stereogram

Fig. 3:Power difference wheel front elevation, side view, top view

Fig. 4:Power difference wheel reverse side figure Fig. 5:Sag rod shape figure

Fig. 6:Fixed sectors tooth circle wheel shape graph

Fig. 7:Suspension rod, weight, circle wheel construction Ti Group close schematic diagram

Fig. 8:Gear coupling figure

Fig. 9:Gear expanded view

Figure 10:Suspension rod tooth branch wheel and fixed sectors tooth circle wheel action diagram

Figure 11:Suspension rod tooth branch wheel and fixed sectors tooth circle wheel action diagram embodiment：

Fixed sectors tooth circle wheel（Such as Fig. 6), it is small sector gear, the circle wheel that two radiuses, rim construction are differed, with concentric circular fashion, and is connected into a larger sector circle wheel and is fixed on each support of moment difference movable-pulley group.Fixed sectors tooth circle wheel, including positioned at larger sector circle wheel one end（With hanging weight point close to side）It is r with smaller central angle, pitch radius₂Fixed sectors gear, and positioned at larger sector circle wheel the other end have larger central angle, radius be r₃Fixed sectors circle wheel.Wherein, the fixed sectors circle wheel of larger central angle, is the self-retaining sector gear end edge on the basis of fixed sectors gear（The side separated with suspension rod tooth branch wheel）Rise, by the center of circle of the same center of circle, r₃For radius, along power difference wheel rotation direction, magnify its central angle, in radius r₃Garden week on be not provided with object.This sector circle wheel initial line（With suspension rod tooth branch wheel close to side）Overlapped with fixed sectors gear end edge, sectorial area is not overlapping, and is both secured in same plane, ground speed is also zero.

The shape of suspension rod refers to Fig. 5, and the distance of the point-to-point transmission of axle center up and down of its longitudinal direction is R, using the end that is connected with regular polygon as upper end, and end be connected with weight is lower end.The axle of its upper end need to be overlapping with the hanging weight point of power difference wheel, extends through therebetween at this 2 points and takes turns the trunnion axis of shaft parallel with power difference, and forms one with suspension rod, so that suspension rod can be rotated centered on this axle in the plane axially vertical with weight；The cylinder axle center of the either end protrusion at weight two ends passes through the bearing of lower end, and the other end with another suspension rod in weight slings same weight jointly in the same manner（Refering to Fig. 7).The level of suspension rod upper end is through axle by solid Determine one end of sector circle wheel, be the structure of entitled suspension rod tooth branch wheel.Suspension rod tooth branch wheel is made up of suspension rod sector gear and the branch wheel set up thereon（Refering to Fig. 5), suspension rod sector gear and hanging weight point are coaxial, and branch wheel thereon is not taken turns radially outward from a wheel carrier at the wheel rim of flank from suspension rod sector gear, and built-in circle wheel, this Round wheels are branch wheel, and circle wheel wheel shaft is parallel with power difference wheel wheel shaft.Hang in pestle tooth branch wheel, have using level and run through Zhou as the Round hearts, pitch radius_rlSuspension rod sector gear, some angles in particular range justify the fixed sectors gear in wheel with another fixed sectors tooth, are the Round hearts, pitch radius as r using power difference wheel rotating shaft₂Constitute_ri+r₂=R external gear group（Refering to Fig. 8).It is 3 that the Chi Lun Group, which are intended to by radius,：₂Fixed sectors gear hang pestle pivot point to hold（Pitch radius is！^ sector gear circumference each point）, sliding phenomenon occurs when not causing the pivot point of suspension rod to act on, and be not used to pass on power；In other words, when the lower end of suspension rod sector gear starts to contact coupling with the lower end of fixed sectors gear（Now each tooth radius where two gear lower ends, is referred to as the initial line of the respectively gear；For the sake of two gears is easy to coupling, it is by radius respectively！^ suspension rod sector gear starts at the first tooth, the second tooth from initial line, is r with radius₂Fixed sectors gear the facewidth of the first tooth is started at from initial line, be set to the normal facewidth 1/2nd are weak, it arranges expanded view, refering to Fig. 9), thereafter until before the separation of two gears, this hang pestle i.e. using the node of gear train as fulcrum, positioned at the poor wheel rim of power it is overlapping with hanging weight point hang pestle upper end axle center for resistance points, making a concerted effort for the point is imposed on the other weight application lever principles of moment difference movable-pulley group, by outside of the weight of lower via power difference wheel, it is transferred to same power difference wheel and is ordered newly directly over fulcrum J.Hereafter, to guarantee to obtain bigger output, must use instead using this and newly order lever machineries of the fulcrum J as fulcrum, with subtract Slow weights detour hanging weight point speed, extension lever machinery effect time, continue to hanging weight point force and can reach purpose.Now, from after the completion of said gear group coupling, until before particular range is ended, branch wheel free to rotate on suspension rod tooth branch wheel must be made external and detour compare great Round hearts angle, radius in fixed sectors tooth circle wheel are r₃Fixed sectors circle wheel rim；Hang the branch wheel and both external points of the fixed sectors circle wheel of fixed sectors tooth circle wheel on pestle tooth branch wheel（Newly order fulcrum J), even hang weight point away from same suspension rod（Example is set to resistance points K afterwards) between length（Example is set to r afterwards₄), add solid in fixed sectors tooth circle wheel Fixed fan-shaped circle wheel radius r₃Length, the sum of two length must be more than power difference wheel regular polygon structure and respectively hang weight point Wai Jie Round radiuses R length.In this way, forming another lever machinery that fulcrum is differed；In this lever machinery, on suspension rod tooth branch wheel, in suspension rod sector gear without wheel flank, the length for radially extending made wheel carrier is shorter（The radius of branch wheel also shortens therewith thereon）, then the efficiency of moment difference movable-pulley group is higher.

When weight is transferred to new order directly over fulcrum J, the torque that rotating shaft is taken turns to power difference is zero, hereafter the weight of each point, the torque that power difference takes turns rotating shaft is not zero, this is that offset by the boundary line that script torque is zero（Refering to Fig. 1).When weight position is in 270 ° of normal bit angle setting, the torque that rotating shaft is taken turns to power difference is zero again, and now weight is located at lowest part, thereafter, then weight is moved to eminence reuse by manner described above, is gone round and begun again.During this, using the torque of exertion force differential gear group to minimum degree as principle, therefore, the position of fixed sectors gear, the same Side in path that highest point should be risen to by lowest part with each power difference wheel hanging weight point, it can make this case have the position of maximum output, should ask it with test method(s).

Above and below suspension rod the line in two axle center and hang pestle sector gear initial line into smaller angle angle（The angle that this case is taken is mechanical angle）, need apparent weight hammer to be transferred to depending on the start angle of eminence；And the radius of suspension rod sector gear！^ and the angle opened, depending on the angle that fixed sectors gear opens.

Each rotating shaft of many power difference wheel is continued in a series arrangement, that is, constitutes a power Cha Dong Lun Group.The rotating shaft of power differential gear group that is, each power difference wheel rotating shaft concatenation form.The end power difference of the head end power difference wheel sequential started at headed by the either end at power differential gear group rotating shaft two ends to the other end is taken turns, on its adjacent two power difference wheel, its respective rotating shaft is risen to regular polygon equity point position institute into perpendicular to axial line segment, plane with taking turns equity point by the wheel rotating shaft of power difference and head end power difference, the two（Line segment and plane）The smaller of folded angle, it is regarded in the power differential gear group by head end to end（Various measurements, direction, steering are all taken this as the standard below）, to move towards clockwise or counterclockwise, by by the 0 of head end degree with equal（Equal difference）Spaced arrangement is incremented to the angle that any adjacent 2 hanging weight point is opened to power difference wheel rotating shaft in the power difference wheel of end；And after power difference wheel each point in end is spaced through this, the point Position need position identical equity point position between starting at the continuous two adjacent hanging weight points moved towards along same hour hands from former equity point position with head end power difference wheel to overlap.

By constituted power differential gear group described above, the weight of wherein many halves will be fallen by eminence along certain track around power difference wheel rotating shaft, torque is produced using thick stick pestle principle, other power difference wheel weights is supplied and is used in the eminence that the lowest part risen by taking turns the vertical line of rotating shaft through power difference goes to the vertical line opposite side.Each weight is after minimum point, torque produced by the weight fallen as eminence need to be utilized is to be lifted after the weight to a certain height, bigger torque is inputted again, the weight of lower is still transferred to fulcrum J surface with lever principle by the effect of gear train, thereafter, weight is then so that another thick stick pestle machinery forces in hanging weight point and produces torque.Go round and begin again and drive whole power differential gear group rotation not stop then, and can externally export power, operate other machinery.

Because single force difference wheel is in each angle, the situation of its supply and demand torque is simultaneously differed, therefore it is different to gather each supply and demand torque situation, and constitute power Cha Dong Lun Group positioned at the single force difference wheel of different angles, in addition to voluntarily the supply/demand of torque is allocated between each power difference wheel that can make the power differential gear group, whole power differential gear group can be more set externally to export stable power.Now citing is illustrated：

Power difference wheel radius be chosen on R circumference adjacent two L hanging weight point 1 arc length it is equal with radius R when L hanging weights to count be π=6. 28 of 2 π Κ/Κ=2, the L that round numbers 6 is had by each power difference wheel hangs weight point, number.One circumference is 360 °, then the angle opened between adjacent two hangings weight point to power difference wheel rotating shaft is 360 ° of ÷ 6 two 60

.（This is also L regular hexagons^Ί), its each L summit¹As L hangs weight point^Ί。

If with the smaller angle opened between equity point belonging to the poor wheel of adjacent two power to the poor wheel shaft of power, projection is extremely once, according to the power difference wheel equity point ranking method of preceding fan, then to obtain a L power differential gear groups with the angle on power difference wheel rotating shaft vertical plane^Ί, the L power difference wheel selected by this that is, this example is taken turns containing 60 L power differences¹The equity point that quantity sets head end power difference wheel is located in the horizontal plane by the wheel rotating shaft of power difference and its right side, the smaller angle of rotating shaft is taken turns between equity point then on each power difference wheel and the horizontal plane for passing through the wheel rotating shaft of power difference and its right side to power difference, projection to the angle angle, φ in the vertical plane of power difference wheel rotating shaft, will be by The 0 of head end.Often by a power difference wheel i.e. increase once, it it is 59 ° to end person, be back to should be 60 ° of head end again and be a L arrangement circulation and Φ angles, circulated with this time when starting, head end power difference wheel equity point should the plane that is constituted of position and power difference wheel rotating shaft be L initial planars^Ί;So by six L arrangement circulations, after, the L equity points^ΊThe position of head end power difference wheel equity point is returned to first time arrangement circulation.Refering to Fig. 2, it is sequentially to the upper right corner from the lower left corner：Φ angles are 0 ° of (head end power difference wheel）、 15.、 30 °、 35 °、 40 °、 50 °、 59.（End power difference wheel）Each L power difference wheel, for representative, wherein hanging weight point with L^ΊFor equity point.

It is to try to achieve Τ below₃。~ Τ₄.Calculation, to hang weight point from normal bit angle setting 30.Move to based on 40 ° of normal bit angle setting, but in fact, only take wherein T_3Q ~ T₃₇, remaining T₃₈ ~ T₄.Omit without and when should use with hereafter each angle still in particular range, weight is exerted a force with another lever machinery to the hanging weight point, and then obtains the torque to moment difference movable-pulley group rotating shaft, refers to follow-up calculation.

It is assumed that the lower end and upper end of fixed sectors gear, respectively positioned at using power difference wheel rotating shaft as origin and to pass through the horizontal plane of the rotating shaft and its right side（The angle that all positions such as since then are measured, referred to as L normal bits angle setting¹) 30.To 40.In the range of, that is, this 10.In the range of, it should will be transferred to same power difference wheel normal bit angle setting 100 positioned at 30 ° of connected weights of hanging weight point of normal bit angle setting.On the wheel rim at place（Referring to Fig. 8 and Figure 10 orbicular spot dotted line those shown）.When hanging weight point goes to normal bit angle setting 30.When, the suspension rod of the point institute hanging weight and be to start at minus 90 degree from horizontal plane to the angle of goose neck by hanging between both horizontal planes of pestle rotating shaft and its right side（Refering to Fig. 8), and when hanging weight point and going to 40 ° of normal bit angle setting, the weight that the point is hung has been transferred to compared with the horizontal plane by the poor wheel normal bit 40 ° of hanging weight points of angle setting of power and to have taken turns 100 ° of (normal bit angle settings for high same power is poor）On the wheel rim at place.Make by power difference wheel normal bit angle setting 40.The horizontal plane of weight point, this horizontal plane and the plane-parallel that rotating shaft is taken turns by power difference are hung, and is cut comprising the sagittal plane for taking turns shaft parallel with power difference wheel 40 ° of hanging weight points of normal bit angle setting and with power difference by the wheel rotating shaft of power difference；Then observed, constituted in the half-plane of the poor radial section taken turns more than rotating shaft of power and the rotating shaft and its right side smaller by head end power difference wheel Angle, geometrically constituting less angle with the radial section below power difference wheel normal bit 40 ° of hanging weight points of angle setting and the half-plane on the left of the point and forming L alternate interior angles^Ί, the former is 40., the latter is also 40.；Again with power difference wheel rotating shaft core, power difference wheel normal bit angle setting 40.Weight point is hung, and the point is connected and position is in power difference wheel normal bit angle setting 100.In the plane regular triangle being made up of at weight axle center three on wheel rim summit, by the angle 60 using power difference wheel 40 ° of hanging weight points of normal bit angle setting as summit.Interior deduction L alternate interior angles^Ί40 °, still remaining 20 °, this is attachment force difference wheel normal bit angle setting 40.Hanging weight point and suspension rod and difference wheel normal bit angle setting 40 of relying on oneself between weight at 100 ° of normal bit angle setting.Hang the smaller angle between weight point and its left side horizontal plane；And the smaller angles of this L^ΊSupplementary angles be 160 °, with foregoing minus 90.Angle merges, then during gearing, weight rotates 160 over the ground-（ -90.）=250 °, L power difference is taken turns^ΊRotate 250-(40 °-30 °)=240

When hanging weight point and going to 30 ° of normal bit angle setting, suspension rod sector gear（Radius is r and fixed sectors gear（Radius is r₂) start contact coupling (_Γι+ι:₂=Ι, now the line in two axle center is with suspension rod sector gear initial line institute into less angle above and below suspension rod, and proper is one jiao of equilateral triangle, therefore its angle is 60 °;And when hanging weight point goes to normal bit angle setting 40., when two gearings are finished, suspension rod sector gear rotation 240.Arc length be necessarily equal to the arc length of 10 ° of fixed sectors gear, according to this：

_2πΓι250^ο-(40^ο-30 _2πΓ240^ο-30°

360 360

240Γ!=10Γ₂ In r_t-R / 25

The weight that numbering is 1 is hung in power difference wheel normal bit 30 ° of hanging weight points of angle setting, by its axle center to its suspension rod pivot point（That is, the tangent node of the pitch circle of gear train two）Between length S_3QIt can be obtained with the cosine law, the rest may be inferred by analogy for it, formula can be obtained：

Wherein Θ₁By weight angle of the pestle pivot point to goose neck is hung with it.In power difference wheel normal bit angle setting 30.When, Θ L be above and below foregoing suspension rod two axial connecting lines and suspension rod sector gear initial line institute into less 60 ° of angle;And in 40 ° of power difference wheel normal bit angle setting, one jiao 60 ° with suspension rod sector gear end edge institute into less angle also just for equilateral triangle of two axial connecting lines above and below suspension rod, but 6₁It is then larger angle

360° - Q, that is, s₃₀When 60.Rise, thereafter every time all with 240. ÷10.2 24 ° of arithmetic series is incremented to S₄₀When 300 °, therefore：

V626 - 50 X 0.5 =0.981R 626 - 50 χ 0.1045 =0.997R

S 32=— -^626 - 50 C ^ 108° ⁼ ^ V⁶²⁶ + ^50Sl'ⁿl 8° ⁼The 1.014R of 626+50 χ of ^ 0.309 2

=1.028R

.037R

=1.04R

1.037R

=1. 028R

S₃₈=— ^626 - 50Q?5252° ⁼— ⁶²⁶ + 72° = ^ 626 + 50 x 0.309 25 25 25

=1. 013R

=0. 996R

=0. 98R

According to thick stick pestle principle, above-listed each length S is projected to by the suspension rod, weight pivot point（Node）Horizontal plane value, be multiplied by after the weight Mg of weight the torque of gained, should be equal to by fulcrum of same node, node is to hanging weight point length！", be moment arm, hanging weight point be resistance points, produced torque；If by this torque divided by suspension rod sector gear radius ^, producing during weight is transferred to eminence by lower via gear train, respectively the weight imposes on the power F that the poor wheel rim of power hangs weight point, and its formula is：

_Ώ_ MgSCos 0₂ _ MgSCos β₂ _ 25 ^ _ _n __Μσ 25 " _r

F -— ~~― - ^ MgSCos θ -^^ Cos θ₂Wherein g is acceleration of gravity, and M is weight quality, θ 2 for it is above-mentioned try to achieve it is each apart from length S with by node（Fulcrum）And its smaller angle between the horizontal plane on right side.When hanging weight point and going to 30 degree of normal bit angle setting, by_Γι、 R、 S₃.In the triangle that three sides are constituted（R is the length of suspension rod）If, 1、 S₃.Two side angles（_ΓιTo angle）Very hour, its sine value is equal with the radian at the angle, and the angle to arc length can be considered！The projection values of ^ in the horizontal plane, horizontal plane is with hanging pestle sector gear initial line_ΓιSmaller angle and fixed sectors gear initial line normal place angle formed corresponding angles, be 30 °, thus arc length

r!CosSO^Sao B,

6 = (r,Cos30 ° ) /

Virtual=2. (this be ^ to angle）；Again the Atria interior angle and be 180., it is known that with S_3QTwo sides to angle be respectively 2 ° and 60 °, then R sides to angle be 180. - 2.- 60 °=118 °, the smaller angle (corresponding angles by fulcrum horizontal plane and ^ are deducted at this angle）After 30 °, 88 are remaininged., and therefore 88 ° of angles be from by the horizontal plane on fulcrum and its right side in terms of trend clockwise, therefore be -88 ° of angles（Refering to Fig. 8).Similarly, can proper hanging weight point when going to 40 ° of normal bit angle setting, fulcrum has moved into the point of intersection of two sector gear end edges in line, and by the fulcrum and its horizontal plane on right side, with S₄.Formed smaller angle is 158 °, therefore obtains 6₂Scope in this example can be ordered as -88. θ₂158 °, that is, from S₃.- 88.Rise, thereafter every time all with [158. - (- 88.）] ÷10.=24.6.=24.36, arithmetic series be incremented to S₄₀When 158 °, by each θ₂Value substitute into F formula, and make F=Mg directions such as be that the person of trend clockwise is negative value, it is on the occasion of according to this that is, as -90 ° of ＜ 6 not move towards person counterclockwise₂<90.When F be negative value, 90 ° of ＜ θ₂<F is on the occasion of obtaining at 270 °：

F₃.= - Mg^°Cos (-88.） =- Mg^{25 x 0}· χ 0,0349—0- 9Mg

R R

F₃₁= - Mg^&iCos (-63.24,） =_Mg^{25 x}。· χ 0.45=- 11.3Mg

R R χ 0.78= - 19.8Mg

F₃₃= - Mg Co s (- 14.12,） =-Mg^{25 xL mR} χ 0.97= - 25Mg

R R

F₃₄= - Mg^iCos (10^o24,）=- Mg^25xL χ 0.99= - 25.7Mg

R R

F₃₅= - Mg^iCos (35°) =— M_g ^25x1' x 0.8192= - 21.3Mg

R R

F₃₆=-Mg^^Cos (59 ° 36,） =-Mg^25xl'⁰ χ 0.51= - 13.3Mg

R R X 0.11=- 2,9Mg

F₃₈=-Mg^ Cos (108 ° 48,） =Mg¾ Sin (18.48,）

R R

^25x1.013^ _x o 32=8. l g

R

F₃₉= - Mg^ Cos (133.24,） =Mg^^Sin (43.24,）

The Mg of R R bis-^25x0'⁹ x 0.68=16.9Mg

R

F₄₀= - Mg^^Cos (158.） =Mg^^Sin (68.）

The Mg of R R bis-^25x()' x 0.9272-22.7Mg

R

F above₃.To F_4QWhen each value is that weight is transferred to eminence by lower, the power for the hanging weight point that the respectively weight is connected is imposed on during gear train is acted on, the direction of this power is vertical with the radial direction of power difference wheel；If F is on the occasion of F direction is identical with the direction of rotation of power difference wheel, if F is negative value, and F direction is opposite with the direction of rotation of power difference wheel.Above F₃.To F₄.Each value is to the torque T, as F produced by power difference wheel rotating shaft₃.To F_4QEach value and R product, obtain final torque.But only take T₃。~T₃₇It is as follows：

T₃₀=F₃。R= - 0.9MgR

T₃₁=F₃₁R= - 11.3MgR

T₃₂=F₃₂R= - 19.8MgR

T₃₃=F₃₃R= - 25MgR

T₃₄=F₃₄R= - 25.7MgR

T₃₅=F₃₅R=-21.3MgR

T₃₆=F₃₆R= - 13.3MgR

T₃₇=F₃₇R= - 2.9MgR S is tried to achieve by foregoing₃₇Formula in, know that weight suspension rod had been rotated to using the hanging weight point as the center of circle at that time, with+X-axis angle [228. - (180. -37.）]=85.Part.

According to preceding setting：When lower weight is transferred to new order directly over fulcrum J by gear train, the branch wheel on suspension rod tooth branch wheel, it is r that must be external in radius in fixed sectors tooth circle wheel₃Fixed sectors circle wheel, Ci bis- Round take turns external contact, are newly to order fulcrum J.This fulcrum J is made to connect the hanging weight point of suspension rod with the point（Resistance points）Length ^ ^r^R/ 10 and and plane-parallel between K（Figure 10).First have to obtain the angle P that weight is transferred to from directly over hanging weight point K directly over fulcrum J：By RSinP=(R/10) Sinp=0.1, therefore P=5 ° 45'=5.75., therefore, then know that the angle that weight is transferred to directly over fulcrum J from 85 ° of above-mentioned parts is（90. - 85.）+5.75. = 10.75 °：And during gear train coupling, hanging weight point is often transferred once, weight is 24 ° of the hanging weight point that detours, then above-listed 10.75.That is, hanging weight point shifts 10.75/ 24=0.448 °, in terms of 0.5 ° it.When this is that weight is transferred to directly over fulcrum J, hanging weight point K is also about transferred to normal bit angle setting 37.5.Part, and the effect of both front and back lever machinery is also with this normal bit angle setting 37.5.For boundary：Acted on before 37.5 ° for gear coupling（Using node as the lever of fulcrum）The torque of gained, T as the aforementioned₃。~ Τ₃₇;And be then the branch wheel on suspension rod tooth branch wheel and fixed sectors circle wheel effect after 37.5 °（Using two circle wheel contacts as the thick stick pestle of fulcrum）The torque of gained.Then, from normal bit angle setting 37.5.Rise to particular range before ending（Figure 11), there is another lever machinery being made up of using weight position the point of application and fulcrum J, resistance points K.37.5.When, weight is located at directly over fulcrum J, therefore by weight axle center to the length H between fulcrum J and the horizontal plane by hanging weight point K（Or r₄) vertically, formation hangs right angled triangles of the pestle length R as hypotenuse using weight（Figure 10), thus

^=^R²-r]=^R²-(R/lO)²=^ =^ ^x9.9498=0.99498R is at 37.5 ° of angles, r₄Plane-parallel with taking turns rotating shaft by power difference, and cut by the power difference wheel radius R by the rotating shaft and hanging weight point K（Refering to Figure 10), r₄With R institutes into less angle, for above-mentioned horizontal plane and R institutes into less angle, shape Into alternate interior angle, the two is all 37. 5 °, and the radius r of fixed sectors circle wheel is learnt by the cosine law₃For：

In the lever machinery constituted with weight position and 3 points of J, K, a formula is obtained using lever principle： MgHCos a By H and r₄Value substitute into：

0. 99498RMgCos ^αWherein, a is H and by the smaller angle between fulcrum J horizontal planes to the 9498MgCos of=^ FJ Fj=9., in normal bit angle setting 37. 5.When, a=90 ° are started at, and normal bit angle setting often increases once（Torque difference movable-pulley Group degree of rotation）, a is to reduce once；^ is perpendicular to r₄(D, Mg are weight weight.In addition, the ^ and the angle of power difference wheel radius tangent are 37. 5.（This angle is constant in this example）, therefore！Components of the ^ on power difference wheel radius tangent direction

[90 ° one (90 of F=FjCos. - 37. 5.） ] =FjCos37. 5.

=9. 9498Mg (Cos a ) Cos37. 5°

=9. 9498Mg (Cos a ) χ 0. 7934=7. 89MgCos a

This F is to impose on hanging weight point K and the power vertical with power difference wheel radius R, so the formula that power takes turns the final torque T of rotating shaft to power difference is the 89MgRCos of T=FR 2 7.

Because in normal bit angle setting 37. 5.When, a=90., so torque T at 37. 5 °_{37 5}=0, from 38 ° of normal bit angle setting, respectively the corresponding final torque of the angle is as follows：

Fourth 38： =7. 89MgRCos89. 5° =7. 89 x 0. 0087MgR=0. 06MgR

=7. 89MgRCos88. 5。 =7. 89 x 0. 0262MgR=0. 20MgR

=7. 89MgRCos87. 5° =7. 89 x 0. 0436MgR=0. 34MgR

The 48MgR of 0610MgR of 2 7. 5 °=7. 89 x of 89MgRCos86. of Τ 0.=0.

TV =7. 89MgRCos85. 5。 =7. 89 x 0. 0785MgR=0. 61MgR

T =7. 89MgRCos84. 5° =7. 89 x 0. 0958MgR=0. 75MgR

T44" =7. 89MgRCos83. 5。 =7. 89 x 0. 1132MgR=0. 89MgR=T_;

T 6 --Ί. 89MgRCos81. 5°= =7. 89 x 0. 1478MgR=l. 16MgR=T₂₀₉

Τ₄₇= :7. 89MgRCos80. 5.:=7. 89 0. 1650MgR of the x=T of l. 30MgR bis-₂₀₈

Τ48" :7. 89MgRCos79. 5⁰: :7. 89 χ 0. 1822MgR=l. 43MgR=T₂₀₇

Τ49" :7. Honor gRCos78. 5.: =7· 89 x 0. 1994MgR=l. 57MgR=T₂₀₆

ΤδΟ^Ζ :7. 89MgRCos77. 5。: =7. 89 x 0. 2164MgR=l. 70MgR=T₂₀₅ τ₅₁： =7. 89MgRCos76. 5°= =7. 89 χ 0.

:7. 89MgRCos75. 5°: =7. 89 x 0. 2504MgR=l. 97MgR=T₂₀₃ δ3" :7. 89MgRCos74. 5。: =7. 89 x 0.

Ts ^r :7. 89MgRCos73. 5°^: =7. 89 x 0.

=7. 89MgRCos72. 5⁰: =7. 89 χ 0. 3007MgR=2. 37MgR=T₂₀₀

Τδ6" :7. 89MgRCos71. 5。: =7. 89 χ 0. 3173MgR=2. 50MgR=T₁₉₉ τ₅₇: :7. 89MgRCos70. 5°^: =7. 89 χ 0. 3338MgR=2. 63MgR=T₁₉₈ τ₅₈: =7. 89MgRCos69. 5° =7. 89 χ 0. 3502MgR=2. 76MgR=T₁₉₇ τ₅₉: =7. 89MgRCos68. 5.The 3665MgR of=7. 89 χ 0.=T of 2. 89MgR bis-₁₉₆

： Ί. 89MgRCos67. 5. =7. 89 χ 0. 3827MgR=3. 01MgR=T₁₉₅ τ₆₁： =7. 89MgRCos66. 5° =7. 89 χ 0. 3987MgR=3. 14MgR=T₁₉₄

=7. 89MgRCos65. 5。 =7. 89 χ 0. 4147MgR=3. 27MgR=T₁₉₃ β3^: =7. 89MgRCos64. 5° =7. 89 χ 0. 4305MgR=3. 39MgR=T₁₉₂ β ^:=7. 5 ° of Let gRCos63.:7. 89 x 0. 4462MgR=3. 52MgR=T₁₉₁ β5^:=7. 5 ° 2 7. 89 of 89MgRCos62. χ 0. 4617MgR=3. 64MgR=T₁₉₀

Τθ6^:=7. 5 ° 2 7. 89 of 89MgRCos61. χ 0. 4772MgR=3. 76MgR=T₁₈₉

Τβ7" =7. 89MgRCos60. 5。 =7. 89 χ 0. 4924MgR=3. 88MgR=T₁₈₈ βδ" =7. 89MgRCos59. 5。 =7. 89 χ 0. 5075MgR=4. 00MgR=T₁₈₇ δ9^: =7. 89MgRCos58. 5° =7. 89 χ 0. 5225MgR=4. 12MgR=T₁₈₆

Τγθ" =7. 89MgRCos57. 5。 =7. 89 χ 0. 5373MgR=4. 23MgR=T₁₈₅

T =7. 89MgRCos56. 5° =7. 89 χ 0. 5519MgR=4. 35MgR=T₁₈₄ 72 =7. 89MgRCos55. 5。 =7. 89 χ 0. 5664MgR=4. 46MgR=T₁₈₃ T73- =7. 89MgRCos54. 5° =7. 89 x 0. 5807MgR=4. 58MgR=T₁₈₂

T₇₄= :7. 89MgRCos53. 5° =7. 89 x 0. 5948MgR=4. 69MgR=T₁₈₁ τ₇₅= :7. 89MgRCos52. 5° =7. 89 x 0. 6088MgR=4. 80MgR=T₁₈₀The 89MgRCos51. 5 of fourth 76=- 1.. =7. 89 x 0. 6225MgR=4. 91MgR=T₁₇₉ 77~ :7. 89MgRCos50. 5。 =7. 89 x 0. 6361MgR=5. 01MgR=T₁₇₈Fourth 78⁼ :7. 89MgRCos49. 5° =7. 89 x 0. 6494MgR=5. 12MgR=T₁₇₇

Τγ9~ :7. 89MgRCos48. 5° =7. 89 x 0. 6626MgR=5. 22MgR=T₁₇₆

TgO" -7. 89MgRCos47. 5° =7. 89 x 0. 6756MgR=5. 33MgR=T₁₇₅ τ₈₁= --7. 89MgRCos46. 5° =7. 89 x 0. 6884MgR=5. 43MgR=T₁₇₄

Τβ2~ :7. 89 gRCos45. 5° =7. 89 x 0. 7009MgR=5. 53MgR=T₁₇₃

89MgRCos44. 5° =7. 89 x 0. 7133MgR=5. 62MgR=T₁₇₂

Τ 84 ~=7. 5 °=7. 89 x of 89MgRCos43. 0., 2 5. 72MgR of 7254MgR=T₁₇₁

81MgR=T₁₇₀

:7. 89MgRCos41. 5° =7. 89 x 0. 7490MgR=5. 90MgR=T₁₆₉ β7 :7. 89MgRCos40. 5° =7. 89 x 0. 7604MgR=5. 99MgR=T₁₆₈Fourth 88⁼ :7. 89MgRCos39. 5° =7. 89 x 0. 7716MgR=6. 08MgR=T₁₆₇ eg- :7. 89MgRCos38. 5° =7. 89 x 0. 7826MgR=6. 17MgR=T₁₆₆Fourth 90==7. 89MgRCos37. 5^C '=7. 89 x 0. 7934MgR=6. 25MgR=T₁₆₅ τ₉₁：:7. 89MgRCos36. 5° '=7. 89 x 0. 8039MgR=6. 34MgR=T₁₆₄

Tg2" =7. 89MgRCos35. 5^C '=7. 89 x 0. 8141MgR=6. 42MgR=T₁₆₃

Tg3 ⁼ :7. 89MgRCos34. 5^C '=7. 89 x 0. 8241MgR=6. 50MgR=T₁₆₂

T94" =7. 89MgRCos33. 5^C '=7. 89 x 0. 8339MgR=6. 57 gR=T₁₅₁

T95- :7. 89MgRCos32. 5^C、：Ί. 89 x 0. 8434MgR=6. 65MgR=T₁₆₀

T96" =7. 89MgRCos31. 5^C '=7. 89 x 0. 8526MgR=6. 72MgR=T₁₅₉Fourth 97⁼ =7. 89 gRCos30. 5^C '=7. 89 x 0. 8616MgR=6. 79MgR=T₁₅₈Fourth 98

gg¹ =7. 89MgRCos28. 5^C *=7. 89 x 0. 8788MgR=6. 93MgR=T₁₅₆

T100 =7. 89MgRCos27. 5 °=7. 89 > ' 0. 8870MgR-6. 99MgR=T₁₅₅ Tio r =7. 89MgRCos26. 5^£ '=7. 89 x 0. 8949MgR=7. 06MgR=T₁₅₄

Tl02^: :7. 89MgRCos25. 5' '=7. 89 x 0. 9026MgR=7. 12MgR=T₁₅₃

Tl03^: =7. 89MgRCos24. 5( '=7. 89 ^x 0. 9100MgR=7. 17MgR=T_l52

Tl04^: =7. 89MgRCos23. 5( '=7. 89 x 0. 9171MgR=7. 23MgR=T₁₅₁ ΐ05^: =7. 89MgRCos22. 5( '=7. 89 x 0. 9239MgR=7. 28MgR=T₁₅₀

Τΐ06^: =7. 89MgRCos21. 5( '=7. 89 x 0. 9304MgR=7. 34MgR=T_H9

Τΐ07^: =7. 89MgRCos20. 5( '=7. 89 x 0. 9367MgR=7. 39MgR=T₁₄₈

Τΐ08^: :7. 89MgRCosl9. 5^£ '=7. 89 x 0. 9426MgR=7. 43MgR=T₁₄₇

Τΐ09^: =7. 89MgRCosl8. 5( '=7. 89 x 0. 9483MgR=7. 48MgR=T₁₄₆

Τι ιο: =7. 89MgRCosl7. 5^ι '=7. 89 x 0. 9537MgR=7. 52MgR=T₁₄₅

ΤΠΓ =7. 89MgRCosl6. 5( '=7. 89 x 0. 9588MgR=7. 56MgR=T₁₄₄

Τΐ ΐ2^:The 9636MgR of 7. 89 x of=7. 89MgRCosl5. 5''=0.=T of 7. 60MgR bis-₁₄₃ π3^:=7. 89MgRCosl4. 5 ('=9681MgR=7,63MgR of 7. 89 x 0.=T₁₄₂

Τΐ 14: =7. 89MgRCosl3. 5( ,=7· 89 x 0. 9724MgR=7. 67MgR=T₁₄₁

Τΐ ΐ5^: =7. 89MgRCosl2. 5( '=7. 89 x 0. 9763MgR=7. 70MgR=T₁₄o

Τΐ ΐ6^: =7. 89MgRCosl l. 5( '=7. 89 x 0. 9799MgR=7. 73MgR=T₁₃₉

T 7^: :7. 89MgRCoslO. 5( '=7. 89 x 0. 9833MgR=7. 75MgR=T₁₃₈

Τΐ 18: =7. 89MgRCos9. 5°= :7. 89 x 0. 9863MgR=7. 78 gR=T₁₃₇ π9^: =7. 89MgRCos8. 5。= :7. 89 x 0. 9890MgR=7. 80MgR=T₁₃₆ ΐ20^: =7. 89MgRCos7. 5°- :7. 89 x 0. 9914MgR=7. 82MgR=T₁₃₅ΐ2Γ =7. 89MgRCos6. 5.The 9936MgR of=- 7. 89 x 0.=T of 7. 83MgR bis-₁₃₄

Τΐ22^: =7. 89MgRCos5. 5。= :7. 89 x 0. 9954MgR=7. 85MgR=T₁₃₃

Τ ΐ23^: =7. 89MgRCos4. 5。= :7. 89 x 0. 9969MgR=7. 86MgR=T_l32

Τΐ 24^: =7. 89MgRCos3. 5°= -7. 89 x 0. 9981MgR=7. 87MgR=T₁₃₁

Τΐ25^:=7. 89MgRCos2. 5°= :7. the wing gR of 89 x 0. 99:7. 88MgR=T₁₃₀

Τΐ26^:=7. 89MgRCosl. 5°= :7. the 9997MgR of the 89 x 0.=T of 7. 88MgR bis-₁₂₉

Τΐ27: =7. 89MgRCosO. 5。= :7. 89 x 1. 0000MgR=7. 89MgR=T₁₂₈Hereafter T₁₂₈=7. 89MgRCos ( - 0. 5.） =7. 89MgRCosO. 5°=T And Τ₁₂₉=7· 89MgRCos ( - 1. 5°) =7. 89MgRCosl. 5。=Ί\ 126

The rest may be inferred, until Τ₂₁₁=Τ₄₄Untill=0. 89, this corresponding relation arranges note in Τ respectively₁₂₇To Τ₄₄After each moment value.Finally understand, the particular range of this example is from normal bit angle setting 30.Rise to 211.Only, in the above-mentioned T of gained in particular range_3QTo Τ₂₁₁Each moment, as final torque；Remaining is original torque.

Because a moment difference movable-pulley group has 360 weights, each weight produces a torque to power difference wheel rotating shaft.Therefore, numberings different in 1 to 6 numeral now are given to six Ge Fu of weight , in each power difference wheel in the 60 power difference wheel sequentially taken turns by head end power difference wheel to end power difference.The torque representation that each weight of numbering identical is produced to power difference wheel rotating shaft is provided as follows：

Each weight that numbering is 1, its corresponding each moment, it is determined as Τ.To Τ₅

Each weight that numbering is 2, its corresponding each moment, it is determined as！^ to ^ 1 19

Each weight that numbering is 3, its corresponding each moment, it is determined as ^ to 179

Each weight that numbering is 4, its corresponding each moment, it is determined as Τ₁₈.To Τ₂239

Each weight that numbering is 5, its corresponding each moment, it is determined as fourth₂₄.Under₂299

Each weight that numbering is 6, its corresponding each moment, it is determined as fourth₃..To fourth₃ 359

Except T_3QTo Τ₂₁₁Each value tries to achieve outer, remaining Τ as already mentioned.To Τ₂₉With Τ₂₁₂To Τ₃₅₉Each moment value, is the weight Mg that weight is multiplied by with the horizontal range between the respectively weight cylinder axle center and power difference wheel rotating shaft core.From the figure 3, it may be seen that the horizontal range be power difference wheel radius R each position project to by power difference take turns rotating shaft horizontal plane on apart from RCos0₃, θ ₃The smaller or equal angles between the horizontal plane of rotating shaft are taken turns for R and by power difference；If with mathematical expression table it, for： T=MgRCos 6₃Wherein

T.To T₂₉The normal bit angle setting of each point of application is by 0.To 29., therefore Θ₃By 0 ° to 29.； T_2l2To Τ₂₆₉The normal bit angle setting of each point of application is by 212 ° to 269 °, therefore θ₃By 32.To 89 °;

Τ₂₇.To Τ₃₅₉The normal bit angle setting of each point of application is by 270.To 359 °, therefore Θ₃By 90.To Γ;

In T=MgRCos Θ₃In formula, also provide the normal bit angle setting of its each point of application more than 90 .And less than in the range of 270 °, Mg be on the occasion of（That is, it is identical with power difference wheel direction of rotation）；Equal to 90 ° or 270.When, torque is zero, the rest is negative value.

Hereby by L moment difference movable-pulley groups¹In, each weight in each angle force in the poor wheel rim hanging weight point of power and to the torque produced by power difference wheel rotating shaft, by T.To T₃₅₉Each value,

| Γ | for Τ in table.To Τ₃₅₉The absolute value of each moment.

Learnt by the total entry arranged with upper table, total output of moment difference movable-pulley group, for each power difference to be taken turns to the L subtotals of torque^ΊValue is added or each numbering identical weight torque L adds up to^ΊIt is added, obtains 722. 4688MgR, this value, which is still needed, supplies L moment difference movable-pulley groups^ΊThe frictional force of itself and the consumption of spuious loss.Outline is calculated as follows：

Frictional force：L moment difference movable-pulley groups¹Total input is the absolute value summation of each moment value in upper table, the i.e. 8848MgR of ^=1133.;If it is 0. 3% to assume coefficient of rolling friction, the loss of frictional force is about

1133. 8848MgR χ 0. 3%=3. 5MgR

Assume that spuious loss is identical with friction loss again, be also 3. 5MgR.

It is then net to export W₀=722. 4688MgR - 3. 5MgR - 3. 5MgR=715. 4688MgR。

Shaft efficiency=output net value/input total value^χ100%=715. 4688 ÷1133. 8848 χ 100%=63. 09%

And the χ 100%=63. 71% of capillary effect rate=722. 4688 ÷ 1133. 8848

Loss about 63. 71% -63. 09%=0. 62%

In addition, such as r₄Length closer to_ΓιOr reducing Z FK, efficiency is then higher；Such as r₄=R/l5, the then input of moment difference movable-pulley group can be improved simultaneously with output, and efficiency also can reach 70%.But r₄Level off to or reduce FKFj, also there is its limiting value.Each schema part symbol is as follows:

The weight 8 that 1 numbering is 1：Inscribed regular polygon structure

The weight 9 that 2 numberings are 2：Suspension rod

The weight 10 that 3 numberings are 3：Reciprocity summit or hanging weight point

The weight 11 that 4, numberings are 4：Fixed sectors tooth circle wheel

The weight 12 that 5 numberings are 5：Suspension rod tooth branch wheel

The weight 14 that 6 numberings are 6：Support

7 rotating shafts

Claims

Claim

1. a kind of moment difference movable-pulley group, it is that the general principle of physics is applied into Gang Gan Group to close in machinery, and carry out the dynamic power machine of energy form conversion, it is characterized in that the power obtained with weight of object or bulk factor, it is used as the source of the power of original torque in lever combination machinery, and in each unit driving wheel of lever combination machinery, pass through coupling in a range, original torque is converted to final torque by thick stick pestle principle, object is made at positive work by being gone to as negative work, and then offset the boundary line that script torque is zero, collect this skew all final torque in boundary line both sides and the original torque outside above range, obtain net torque, and can be using rotational kinetic energy as the thick stick pestle combined machine of output.

2. a kind of moment difference movable-pulley group according to claim 1, it is characterised in that：Power difference wheel is the aggregate of some same shaft levers, also it is the elementary cell of composition moment difference movable-pulley group, each power difference wheel is to be formed by a rotating shaft level through two radiuses for R inscribed regular polygon structure, and to be axial distance with relative spacing slightly larger than weight length L be fixed in rotating shaft this two regular polygons structure；It is in addition M by several quality, a length of L, density is D, cylinder is axially that radial direction of the axle of weight two ends protrusion with a length of R suspension rod along Round cylinders is sling with the cylinder of power differential gear shaft parallel, and the other end of suspension rod is respectively to be equidistantly hung on two reciprocity summits of two regular polygon structures, hang the level of pestle upper end is the structure of suspension rod tooth branch wheel through one end of axle, wherein having by the center of circle of the axle center, pitch radius is_ΓιSector gear, initial angle in a range with, using power difference wheel rotating shaft as the center of circle, pitch radius is r in another fixed sectors tooth circle wheel₂Sector gear that is fixed and not rotating constitutes rf r₂=R external gear group；And branch wheel free to rotate on other parts within the above range, suspension rod tooth branch wheel, then it is r to need to be external in radius in fixed sectors tooth circle wheel₃Fixed sectors circle wheel.

3. a kind of moment difference movable-pulley group according to claim 1, it is characterised in that：Suspension rod two ends axle center in each unit driving wheel, the part being connected with weight is the point of application, and remainder is resistance points, in addition respectively using resistance points with being inclined to another point of point of application side as the garden heart, a wheel is respectively put, so that this suspension rod can be with two radiuses, rim construction not The larger tooth of the fixed sectors over the ground circle wheel that the small sector gear of identical, circle wheel are connected into concentric circles but the nonoverlapping mode of sectorial area, which coordinates, to be used, change position of the fulcrum, with different fulcrums, to subtract the speed that Slow suspension rods weight declines around axle, and the thick stick pestle mechanism time is extended, and with natural force and lever principle still is utilized, pass through coupling, suspension rod moment arm can be made to change therewith, and the object for making negative work originally is transferred to one kind machinery made in place of positive work.