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The Initial Boundary Value Problem of Gun Dynamics Solved by Finite Element-Unconstrained Variational Formulations.
ARMY ARMAMENT RESEARCH AND DEVELOPMENT COMMAND WATERVLIET NY LARGE CALIBER WEAPON SYSTEMS LAB
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The purpose of this paper is to introduce an efficient method, which is quite general and easy to use, to the solution of the gun dynamic problems, to describe some of the features associated with a finite element computer program, and to present some initial results. The basic concept of unconstrained, adjoint variational formulation for linear problems was described in an earlier paper. Its advantage over constrained methods in obtaining approximate solutions has been demonstrated for both conservative self-adjoint and unconservative nonself-adjoint problems. In comparison with Galerkin procedure, the unconstrained, adjoint variational formulation has a further advantage in the freedom of selecting shape functions which have less requirement on differentiability and which are not required to satisfy any of the end conditions. The same concept was extended to solution formulation of initial value problems. In view of the generality of this approach and its easy adaptability to finite element discretizations, it appears to be quite attractive in seeking solutions to the complicated problems associated with the dynamics of gun systems. Author
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