[0001] The present invention relates to training ammunition rounds of the axisymmetrical
type such as bullets and shells. Such a round will in this specification be referred
to as a projectile.
[0002] Ammunition rounds, other than for small arms, usually contain explosive warheads
and their use for training purposes is therefore inordinately expensive as well as
unnecessarily dangerous. It is common, therefore, to produce projectiles specifically
for training purposes.
[0003] A problem that arises in the use of training projectiles is that the target range
is usually much less than the potential maximum projectile range. In realistic battle
training, therefore, much greater areas must be used than are called for merely by
expected target ranges.
[0004] There is, then, a requirement for training projectiles whose ballistic characteristics
alter after travelling just beyond the target range so that that range is substantially
the maximum range. Projectiles tried have been
1 A composite projectile having a nose which melts due to aerodynamic heating, so
allowing the projectile to break up into several smaller pieces, and
2 A spinning tubular projectile which at high Mach numbers has "swallowed" internal
flow but as the Mach number decreases the internal flow chokes with a consequent rise
in drag.
[0005] These still leave problems in achieving the desired change in ballistic requirements
whilst consistently maintaining a ballistic performance accurately representative
of operational projectiles up to the full target range.
[0006] Almost all projectiles spin in flight, and with any spinning axisymmetric projectile
the axis of symmetry performs angular oscillatory motions with respect to the tangent
to the trajectory. These oscillatory motions have two natural frequencies, a slower
precession frequency and a faster nutation frequency.
[0007] According to the present invention an axisymmetrical projectile having a specified
design launch condition includes an axisymmetrical cavity substantially filled with
liquid, the cavity dimensions and liquid characteristics being so tuned that a main
natural frequency of the liquid within the cavity approaches a nutation frequency
of the projectile to cause resonance after a predetermined duration of flight following
a design launch.
[0008] Resonance results in the nutation amplitudes becoming undamped, giving a rapid increase
in yaw angle and hence a sudden increase in drag which will rapidly terminate the
projectile's flight. The predetermined duration of flight should be such that resonance
occurs just after target range has been passed.
[0009] Some embodiments of the invention will now be described, by way of example, with
reference to the accompanying diagrammatic drawings, of which
Figure 1 is a side elevation, in section, of a spin stabilised projectile.
Figure 2 is an end elevation in section along line II-II of Figure 1, and
Figure 3 is a side elevation of a fin stabilised projectile.
[0010] A projectile 10 (Figures 1 and 2) having an axis of symmetry 11 has within it an
axisymmetrical cylindrical cavity 12 of length 2c and diameter 2a. The cavity 12 is
substantially filled with a liquid. The liquid has a double infinity of natural frequencies
of which the frequency of the principal mode of oscillation τ
o is well documented as a function of the liquid characteristics, the fineness ratio
c/a, and the fraction of cavity 12 volume filled with liquid. Calibration tables are
contained, for example, in the United States Arms Material Command Pamphlet 706165
"Liquid Filled Projectile Design".
[0011] In use the projectile 10 is launched from a fire-arm (not shown) at a velocity v
and having a spin rate a imparted by rifling within the fire-arm. In flight the projectile
oscillates with a nutation frequency τ
1 which is a function of spin rate α/velocity v. Both v and a decay due to air resistance
during flight, but v decays at a faster rate than a so that τ
1 increases during flight.
[0012] It can be shown mathematically that resonance occurs between the liquid within cavity
12 and the nutation frequency τ
1 if

where s is the Stewartson parameter. The Stewartson parameter is a function of the
projectile dimensions and inertia, the cavity dimensions and the liquid physical properties,
and is defined in the above referenced pamphlet.
[0013] If, on projection of the projectile, τ
1 < τ
o - √s, τ
1 increases during flight, until τ
1 = τ
o - √s. Any further increase of T results in resonance, which causes rapid divergence
of the projectile yaw angle. The subsequent rapid increase in drag quickly terminates
the flight of projectile 10.
[0014] Modern ballistic theory, projectile design, and production methods are such that
launch velocity and spin rate, and velocity and spin decay rates, are maintained within
very small tolerances of a projectile specified launch condition. Liquid within cavity
12 of a projectile 10 can therefore be tuned, by changing the fill fraction, the fineness
ratio, or both, to ensure that resonance occurs, after a specified launch, after a
predetermined flight duration, and hence at a predetermined range, within very fine
limits.
[0015] Another type of axisymmetrical projectile 13 (Figure 3) is stabilised by fins 14
which set up a slow spin-rate (relative to the spin rate of a spin stabilised projectile).
Iue to the effects of the fins 14 the velocity and spin rate decay at the same rates,
so that the nutation frequency τ
1 remains substantially constant. In this type of projectile a cavity (not shown, but
similar to that described above and illustrated in Figures 1 and 2) contains liquid
which, relatively slowly, takes up the spin rate of the projectile 13. The liquid
and cavity are tuned so that the liquid resonates with the equilibrium nutation frequencywhen
the liquid has the same spin rate as the projectile
13, and so that the liquid reaches the spin rate of the projectile 13 after a predetermined
flight duration.
[0016] It will be appreciated by those skilled in the art that variations in the above described
projectiles are possible within the scope of the invention. For example the cavity
12 may be of axisymmetric spheroidal shape. When completely filled with liquid, the
liquid has a single natural frequency of oscillation in such a cavity. Construction
of a projectile with this shape of cavity is, however, complicated.
4
1. An axisymmetrical projectile comprising structure; at least part of said structure
defining a cavity; said cavity being substantially filled with liquid; said structure
having dimensions, and said liquid having characteristics such that a main natural
frequency of said liquid within said cavity approaches a nutation frequency of said
projectile after a predetermined duration of flight following a launch of said projectile
at a specified design launch condition.
2. An axisymmetrical projectile having a specified design launch condition of velocity
? and spin rate [alpha], and comprising structure; at least part of said structure
defining a cavity having a length of 2c and a diameter of 2a; said cavity being substantially
filled with liquid to an extent such that it has a principal mode of oscillation [gamma]o;
said principal mode of oscillation [gamma]o being such that after launch of said projectile
at said specified design launch condition a nutation frequency of oscillation [gamma],
of said projectile, which is a function of spin rate a divided by velocity V and which
increases during flight due to a faster decay rate of V than of [alpha] during flight,
becomes equal to [gamma]o - [gamma]s, where S is a parameter known as the Stewartson
parameter, after a predetermined duration of flight.
3. An axisymmetrical projectile comprising structure and stabilising fins: at least
part of said structure defining a cavity; said cavity being substantially filled with
liquid; said liquid having characteristics such that when said liquid and said projectile
have the same spin rate said liquid resonates at a nutation frequency of said projectile;
and said cavity having dimensions and said liquid having characteristics such that
said liquid and said projectile achieve the same spin rate after a predetermined duration
of flight following a launch of said projectile at a specified design launch condition.