The device presented has not been put in a
About years 1950 in France, René GIROD "invented" the logic of this principle of imbalance.
Pistons (1) are associated to cylinders (2) and watertight between them by a flexible membrane (3).
Coupled 2 by 2 by a flexible air conduit (4), they form a pair of cylinder pistons which will be dived into the water.
3 éléments compose the complete system:
a mobile support which comprises two rolls of rotation (5). receiving the cylinders(5).
a flexible surface (6) receiving the cylinders,
and pairs of cylinder pistons (7) assembled symmetrically and inverted on the flexible surface.
Two axes of rotation (8) support the whole.
The weight of
the mass of the piston (P) is superior to Archimèdes' thrust (F)
exerted on the volume of air at a depth of water (h).
M: mass of the piston ; Pa( M ):Archimèdes'thrust of the mass M p: density of the liquid; water ( 1000 Kg/m³ ) ; h: depth of water s: surface of the volume of air
The pistons composing the system are identical in mass and volume. It is similarly for cylinders. All the elements which constitute the device balance with regard to the fictitious axis of symmetry. Thus the forces due to gravity (P) cancel each other because of symmetry. The volume of the air will come to unbalance the totality (F).
Then the pairs of cylinder pistons realize the tipping up.
The number of pairs of cylinder pistons increases with the width of the mechanism.
Then the force of gravitation enters in action. Masses are going to position themselves to the lowest (interdependent stop of the cylinder) by imposing to the volume of air his place.As this imposed volume is found in low position, the air becomes from weak pression to a high pression.
The air can not ascend to the cylinder of the high
(Pmass >Fair), it unbalances the complete system.
inventory of works of forces during a cycle of a pair of cylinder pistons
Work of the hydrostatic force of the volume of air.
T air = pg(h1-h2)V
g : acceleration
V : volume of air
P : density of the liquid; water ( 1000 Kg/m³ )
Work of the force of gravity on the masses
The work of the masses realize the transfer of air from the high chamber to the low chamber. This masses are identical
( M1 = M2 ), and placed at different heights. ( h1 et h2 ).
The real mass working ( m ) will be equal to the mass of the piston ( M ) Archimedes' thrust previously deduced ) less the hydrostatic force ( F ) exerted on the volume of air at the depth ( h ).
Work of the force of gravity on the mass 2
T mass2 = m2 g2 (z2 - z1)
with m2 = M2 - F2 et F2 = p h2 s
Work of the force of gravity on the mass 1
T mass1 = m1 g1 (z4 - z3)
with m1 = M1 - F1 et F1 = p h1 s
The work is an algebraic size. When it is exerted on an object in movement, its measure becomes positive, null, or negative.
In a system in rotation around an axis, the choice of a way of rotation allows to identify if the work is motive, null or resistant.
If one defines T as a motive work, energy demand of the complete system becomes:
Comparison of T mass1 and T mass2
As the two chambers of air are common the acceleration of the work of the mass 1 will be identical to that of mass 2.
The acceleration being identical, the work mass will correspond to an average mass.
|stroke of the mass||(z4 - z3) = (z2 - z1)|
|work of masses||T mass1 = T mass2|
The energy demand of the complete system is not null any more.
The résistant work is inferior to the travail motive work during a cycle of a pair of cylinder pistons.