Equations of Projectile Motion in a Flexible Gun Tube

Equations of Projectile Motion in a Flexible Gun Tube
Author:
Publisher:
Total Pages: 47
Release: 1983
Genre:
ISBN:
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This interim report presents the formulation of a system of simultaneous differential equations which describes the general motion of a projectile of finite geometry and inertia traveling in a flexible gun tube. The formulation permits the projectile six degrees-of-freedom relative to the gun tube; three orthogonal translational motions of the projectile c.g. relative to the instantaneous gun tube axis and three (Eulerian) rotational motions of the projectile about it c.g. The formulation is presented in terms of interior ballistics data, projectile design data, and gun tube design and motion data. The formulation accounts for projectile spin, mass eccentricity, elastic deformation of the projectile rotating band and bourrelet, and projectile/bore interfacial friction and torque transmission. Furhtermore, the formulation is unrestricted regarding the nature of gun tube motion. The formulation has been compared with projectile descriptions and formulations employed by other investigators and, based upon this comparison, isconsidered to be the most generally applicable projectile in-bore motion formulation appearing in recent literature.

Dynamics of a Balloting Projectile in a Moving Gun Tube

Dynamics of a Balloting Projectile in a Moving Gun Tube
Author: K. A. Ansari
Publisher:
Total Pages: 91
Release: 1988
Genre:
ISBN:
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In recent years, there have been significant strides made in modeling gun dynamics. Current capabilities include the use of flexible gun tube and projectile descriptions. However, modeling the interface conditions between the tube and projectile is still an area of very active research. Highly detailed finite element models, which are currently under development at the BRL and at other agencies will lead to a much better understanding of the important parameters involved in the balloting of projectiles. These models, however, require both substantial computer resources and time. Thus there is a need for the development of simplified tube/projectile interface descriptions which both realistically represent the interface and are easily implemented. The bourrelet/ gun-bore and obturator models incorporated in this study reasonably satisfy these requirements. A nonlinear dynamic analysis of a balloting projectile is presented in this report. The mathematical model used is a six-degree-of-freedom coupled model of the projectile and gun tube system. The effects of obturator flexibility and projectile impact with the gun bore at the bourrelet are included in the analysis, and the nonlinear differential equations of motion of the system are derived using a Lagrangian formulation. Gaussian elimination and Newark's constant-average-acceleration method are employed to obtain a solution. Finally, numerical results for some specific test cases are obtained and discussed. Keywords: Computer simulation; Computer models; Interior ballistics.

Dynamics of a Projectile in a Concentric Flexible Tube

Dynamics of a Projectile in a Concentric Flexible Tube
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Total Pages: 81
Release: 1983
Genre:
ISBN:
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Each of the four main sections in this report deals with the motion, the forces, and the moments experiences by a gun tube with a straight axis and an offset breech, and with certain simple types of support. Section I presents a development of the kinematics of a projectile in a concentric moving flexible tube. Section 2 treats the forces and moments that act on a projectile in terms of kinematic variables of the tube. Section 3 treats the motion of a tapered cantilever tube that is actuated by the projectile and by prescribed motion at the breech. In Section 4, the problem of a rigid curve tube that is hinged at the breech so that it can swing sideways is treated.

Transverse Motion of 8 Inch Projectile, XM673, in the XM201, M2A2 Gun Tube, Mk-16 and MCLG Gun

Transverse Motion of 8 Inch Projectile, XM673, in the XM201, M2A2 Gun Tube, Mk-16 and MCLG Gun
Author: Szu Hsiung Chu
Publisher:
Total Pages: 166
Release: 1973
Genre:
ISBN:
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The dynamic behavior of a projectile during acceleration in the gun tube requires a quantitative description, since, if balloting becomes excessive, undesirable conditions such as damage to fuzing, shell body engraving, inaccuracy of fire due to yaw, and yaw velocity at the muzzle may result. The approach taken in this report utilizes the equations of motion derived in an earlier report titled, 'Transverse Motion of an Accelerating Shell' to describe the balloting motion of the 8-inch XM673 projectile fired in the MK-16, MCLG gun, XM201 and M2A2 gun tubes. Most previous solutions which have appeared in published works to date discuss the problem in a simple way, or consider separately the main factors that effect projectile motion. Effects of friction forces at the bourrelet and the driving band, changes of the eccentricity and the location of the center of gravity, and the wall thickness of the shell were considered in this formulation. The analysis shows that the contact of the bourrelet on the gun tube is intermittent when the C.G. eccentricity is zero or very small and the contact is continuous when the eccentricity is large and that this parameter is the one that most affects the performance of the projectile and the associated fuze. The analytical results are presented in graphic form.

Research in Progress

Research in Progress
Author:
Publisher:
Total Pages: 272
Release: 1990
Genre: Military research
ISBN:
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Transfer Matrix Method for Multibody Systems

Transfer Matrix Method for Multibody Systems
Author: Xiaoting Rui
Publisher: John Wiley & Sons
Total Pages: 1146
Release: 2018-10-02
Genre: Mathematics
ISBN: 1118724836
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TRANSFER MATRIX METHOD FOR MULTIBODY SYSTEMS: THEORY AND APPLICATIONS Xiaoting Rui, Guoping Wang and Jianshu Zhang - Nanjing University of Science and Technology, China Featuring a new method of multibody system dynamics, this book introduces the transfer matrix method systematically for the first time. First developed by the lead author and his research team, this method has found numerous engineering and technological applications. Readers are first introduced to fundamental concepts like the body dynamics equation, augmented operator and augmented eigenvector before going in depth into precision analysis and computations of eigenvalue problems as well as dynamic responses. The book also covers a combination of mixed methods and practical applications in multiple rocket launch systems, self-propelled artillery as well as launch dynamics of on-ship weaponry. • Comprehensively introduces a new method of analyzing multibody dynamics for engineers • Provides a logical development of the transfer matrix method as applied to the dynamics of multibody systems that consist of interconnected bodies • Features varied applications in weaponry, aeronautics, astronautics, vehicles and robotics Written by an internationally renowned author and research team with many years' experience in multibody systems Transfer Matrix Method of Multibody System and Its Applications is an advanced level text for researchers and engineers in mechanical system dynamics. It is a comprehensive reference for advanced students and researchers in the related fields of aerospace, vehicle, robotics and weaponry engineering.