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p = compression ratio
V1 = displacement of the larger cylinder
of the paired cylinders.
V2 = displacement of the smaller cylinder
of the paired cylinders.
V1/V2 =ratio betwwen the displacements
on the paired cynlinders
α = lead angle of the crank of
the short-stroke crankshaft
ve = clearance space of the paired cylinders
required for gas transfer without excessive lamination.
(α minimun) = lead angle of the
crank of the short-stroke crankshaft, at the start- of-travel of
the variably timed transmission.
(α maximun) = lead angle of the
crank of the short-stroke cranskshaft, at the end-of-travel of the
variably timed transmission.
Va (α minimun) = additional volume
added to the clearance space, at the start-of-travel of the variably
timed transmission, defined by the minimum lead angle of the crank
of the short-stroke crankshaft, when the crank of the long-stroke
crankshaft is located at its top dead center, at the end of the
compression phase.
Va (α maximun) = additional volume
added to the clearance space, at the end-of-travel of the variably
timed transmission, defined by the maximum lead angle of the crank
of the short-stroke crankshaft, when the crank of the long-stroke
crankshaft is located at its top dead center, at the end of the
compression phase.
Vr (α minimun) = compressed air
volume at the start-of-travel of the variably timed transmission,
defined by the minimum lead angle of the crank of the short-stroke
crankshaft, when the crank of the long-stroke crankshaft is located
at its bottom dead center, at the end of the intake phase.
Vr (α maximun) = compressed air
volume at the end-of-travel of the variably timed transmission,
defined by the maximum lead angle of the crank of the short-stroke
crankshaft, when the crank of the long-stroke crankshaft is located
at its bottom dead center, at the end of the intake phase. Compression
ratio characteristics and formulas of the variable volume combustion
chamber engine.
( V1 + V2 ) x number of pairs of cylinders
= engine displacement.
V1 + [ V2 - Vr (α) ] x number of pairs
of cylinders = displacement of the engine defined by the lead
angle of the variably timed transmission.
V1 + [ V2 - Vr (α) ] +
ve
ve + Va (α) |
= P.theoretic |
theoretic compression characteristic of the
engine after definition of the compression ratios established by
the lead angle of the variably timed transmission.
V1 + [ V2 - Vr (α minimum)
] + ve
ve + Va (α minimum)
|
= P maximum |
definition of the maximum compression ratio
at the start-of-travel of the variably timed transmission. In practice,
Vr (α minimum) should not be deducted from V2
as it is too negligible.
V1 + [ V2 - Vr (α maximum)
] + ve
ve + Va (α maximum)
|
= P minimum |
definition of the minimum compression ratio
at the end-of-travel of the variably timed transmission. In practice,
Vr (α maximum) should not be deducted from V2
since the air mass admitted in V1 and V2 depends on
the stored calibration at the maximum supercharging pressure.
A simplified formula of the compression ratio
may be assumed depending on whether Va(α) is located
at any angular position between the start-of-travel and the end-of-travel
of the variably timed transmission, which is :
V1 + V2 + ve
ve + Va (α)
|
= P |
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