Patent ID: 7765962

Claim:
A reciprocating piston and rotary piston engine comprising a housing containing a rotor as well as a series of openings in which reciprocating pistons move up and down, the rotor including a rotary piston having a series of active surfaces between vertices of two, four, six . . . n active surfaces corresponding to a number of the active surfaces of the rotary piston with a corresponding number of active surfaces of the reciprocating pistons and alternately linkable chambers with a fuel supply, a carburation and an exhaust gas outlet, a profile of the active surfaces of the rotary piston and of the reciprocating pistons being determined by the following equations: xy=reference system originating in a center of rotation of the crank (rotation axis of the a crank shaft); r=crank length (radius between rotation axis of the crank shaft and the corresponding crank); d=connecting rod length; φ=angle of the crank with respect to a reference axis (expressed in radians); ψ=circle inscribing the rotor; XY=the reference system on which ψ is centered; R=radius of the circle ψ; N=number of rotor flanks=number of crank gears=number of partitions of the circle ψ; i=incidence line of the piston applied on a middle point of a corresponding arc; P 1 =designates incidence point of the line “i” on the circle ψ; P 3 =designates an end of a first arc of ψ of the corresponding piston; α=incidence angle of the piston measured in the point P 1 with respect to a tangent of this circle, crossing the same point; L=arc of ψ of a corresponding piston, between P 2 and P 3 of a width 2π/N; C=chord “L”, drawn between P 2 and P 3 ; this chord is parallel to a tangent of ψ crossing P 1 ; S=piston width=calculation area of the piston profile=distance between two lines running parallel to the incidence line “i” and applied to the points P 2 and P 3 ; s=dephasing angle: incidence angle of the piston, measured with respect to an axis X of the reference system XY of ψ; m=line crossing the point P 1 from the centre of the rotor; β=angle between a line “m” and a line “i”: a first orthogonal line to the tangent of ψ crossing P 1 , this angle is always=π/2−α; X′Y′=another reference system centered on the reference system XY, but rotated with respect to the latter according to the angle=“s”; a profile of an active flank of the reciprocating piston is { x = R ⁡ ( sin ⁡ ( φ / N + β ) - sin ⁢ ⁢ β ) y = R ⁡ ( cos ⁢ ⁢ β - cos ⁡ ( β / N + β ) ) + d - r + r ⁢ ⁢ cos ⁢ ⁢ φ - d 2 ⁢ r 2 ⁢ sin 2 ⁢ φ .