By ARMY MATERIEL COMMAND ALEXANDRIA VA

This 1969 instruction manual is certainly one of a chain on ballistics. It offers with the dynamics of liquid-filled projectiles that are identified to act in an unpredictable demeanour in flight. The instruction manual summarizes the kingdom of our current wisdom that's without delay precious to the clothier. because the dynamics of the liquid-filled projectile is much less known to the designers than the dynamics of the inflexible projectile, this guide supplies extra of the theoretical heritage of solved difficulties than is mostly present in different volumes of the Engineering guide sequence. The emphasis, despite the fact that, is at the figuring out the physics of the matter instead of arithmetic. hence bankruptcy 2 encompasses a short assessment of the dynamics of a inflexible projectile; Chapters three to eight, inclusive, take care of the dynamics of the liquid and its response at the containing hollow space. bankruptcy nine is the layout bankruptcy the place the principles for the layout of the liquid-filled projectile are explicitly said.

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**Engineering Design Handbook - Liquid-Filled Projectile Design:**

This 1969 guide is certainly one of a sequence on ballistics. It offers with the dynamics of liquid-filled projectiles that are identified to act in an unpredictable demeanour in flight. The instruction manual summarizes the kingdom of our current wisdom that is at once valuable to the fashion designer. because the dynamics of the liquid-filled projectile is much less known to the designers than the dynamics of the inflexible projectile, this guide provides extra of the theoretical historical past of solved difficulties than is generally present in different volumes of the Engineering instruction manual sequence.

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**Sample text**

The equation of the free surface is r = b; the radius of the cavity R(z I) is everywhere larger than the radius of the void b. (4) The projectile describes a yawing motion of the type: 1 + im = 0' oe i w e, The boundary value problem can be formulated most conveniently using complex notation. It is understood that, when complex notation is used, only the real part of an expression shall have physical significance; exceptions are equations like 3-35 and 3-53 where two real components of a vector are united into one complex quantity (1 + im), etc.

The eigen- frequencies TO can now- in principle - be X2j+! must be computed. = 0 found solving Eq. ~94. It is, however, difwhen b = 0 follows readily from the fact that ficult and not even practical to eliminate TO from Eq. ~94. ) as the independent variable (first column Obviously, the method outlined above is in Stewartson's Tables) and c/[a(2j+1)] is not applicable when the cavity surface or the free surface is noncylindrical. In either tabulated as function of TO (second column case the coefficients e 2j+!

At the cavity surface we have K +1 the right-hand side of Eq. 3--65 becomes infinite or the yaw amplitude a is zero. In fact, at this frequency the solution, Eq. 3--64, satisfies the homogeneous boundary condition which is obtained from Eq. 3--61 when a is set equal to zero. This means that the liquid can undergo free oscillations at the discrete frequency wo=rz(K (3--68) Eq. £. 2 -1). rz 2R2(z·} 2 K 2+1 A frequency of free oscillation is usually referred to as "natural frequency" or "eigenfrequency".