These courses are for S&E personnel from Picatinny Arsenal
and others that the Picatinny Armaments University may select.
Registration POC is Mr. Jan Luce, Picatinny Armaments University


MWB/LB-81 : Free Flight Motion of Symmetric Missiles"

Dr. Charles H. Murphy

Charles H.Murphy received his Ph.D. in Aeronautics at Johns Hopkins University in 1957 after completing his undergraduate studies at Georgetown University with a major in Mathematics in 1947. He has published over sixty papers in the scientific literature on missile dynamics and related topics and co-authored the book THE PARIS GUNS AND PROJECT HARP. Dr Murphy was the U.S. originator and director of the U.S.-Canadian project HARP, which made a number of advances in gun technology. As part of this program, Dr. Murphy personally directed the firing of a sounding projectile to the record altitude of 111 miles from an extended 16-inch gun at the Army's Yuma Proving Ground in Arizona.

He was with the Ballistic Research Laboratory (BRL) from 1950 until the founding of the Army Research Laboratory (ARL) in 1992. In December 1997 Dr. Murphy retired from ARL.

Dr. Murphy was the U.S.Army nominee for Outstanding Young Man in Federal Government (1966), received the American Institute of Aeronautics and Astronautics (AIAA) 1966 Maryland Engineer of the Year Award and the BRL R.H.Kent Award for 1969. He is the 1976 recipient of the AIAA Mechanics and Control of Flight Award and was awarded the Army's Decoration for Meritorious Civilian Service in November 1979. Dr. Murphy received U.S.Army Research and Development Achievement Awards in September 1979 and December 1986. He was elected Fellow, AIAA in May 1981 and was given the 1990 National Firepower Award by the ADPA Picatinny Chapter.

He has been a Visiting Professor at the University of Illinois and the University of Virginia. His internationally recognized short course "Free Flight Motion of Symmetric Missiles" has been given at UCLA, Norwich University, University of Tennessee Space Institute and the East China Engineering Institute, Nanjing, People's Republic of China.

Purpose

The purpose of this course is to give a complete survey of the flight mechanics of unguided symmetric missiles. Engineers concerned with the measurement of aerodynamic forces and moments acting on symmetric missiles or the prediction of their flight should benefit from this course. Students should refresh their knowledge of the algebra of complex numbers and elementary differential equations. Specific stability examples will involve the angular motion of artillery projectiles. Most of the materiel of the course is based on original work of C. H. Murphy

Topics included in the course include: drag and effect of yaw induced drag; roll moments and roll equation; small amplitude linear motion of nonspinning missiles; linear motion of spinning missiles; gyroscopic stability; dynamic stability; motion of slightly asymmetric missiles; resonant spin and spin-yaw lockin; effect of cubic static moment; quasilinear theory and amplitude planes; nonlinear Magnus moment; nonlinear damping moments; nonlinear motion of slightly asymmetric missiles; effect of moving internal parts; motion of spinning liquid filled projectiles; aeroelastic motion of finned projectiles.

FREE FLIGHT MOTION OF SYMMETRIC MISSILES


UCLA Short Course (4)
5-9 September 1961, 27-31 August 1962, 26-30 August 1963, 31 August-4 September 1064.

Norwich University Short Course (5)
5-9 January 1970, 16-20 February 1970, 14 October-5 November 1971 (six days), 19-23 February 1973, 29 October-28 November 1973 (six days).

University of Tennessee Space Institute Short Course (10)
26-30 April 1976, 22-26 April 1977, 14-18 May 1979, 9-13 November 1981, 20-24 June 1983, 23-27 June 1986, 20-24 June 1988, 30 October -3 November 1989, 1-5 April 1991,10-14 January 1994.

East China Engineering Institute, Nanjing, PRC Short Course (1)
24 June-9 July 1985.

ARDEC, Picatinny, New Jersey
OUTLINE


1. Drag equation
Roll Equation
Small Amplitude Motion of Nonspinning Finned Projectiles
Linear Motion of Spinning Projectiles

2. Gyroscopic Stability
Dynamic Stability
Generalized Dynamic Stability
Magnus Moment Prediction
Slightly Asymmetric Missiles
Resonant Spin and Spin-yaw lockin
3. Aerodynamic Jump
Modified Point Mass
Summit Yaw
Cubic Static Moment Quasilinear Motion
Cubic Magnus Moment
Nonlinear Damping Moments

4. Amplitude Plane
Limit Cycles
Chapman-Kirk Data Analysis
Spin Jet Damping of Gun Boosted Rockets
5. Almost Symmetric Missiles
Effect of Moving Internal Parts
Motion of Spinning Liquid Filled Projectiles
Symptom of Payload Flight Instability
Aeroelastic Motion of Long Finned Projectiles


Contents

1. BASIC TEXTS

A. Free Flight Motion of Symmetric Missiles (BRL R1216)
B. Table of Symbols

2. LINEAR AERODYNAMIC COEFFICIENTS

A. Aerodynamics of Golf Balls
B. Aerodynamic Derivatives for Both Steady and Nonsteady Motion of Slender Bodies
C. Magnus Characteristics of Finned and Nonfinned Projectiles

3. CUBIC DAMPING MOMENT

A. Cubic Damping Coefficients
B. Limit Cycles for Nonspinning Statically Stable Symmetric Missiles
C. An Erroneous Concept Concerning Nonlinear Aerodynamic Damping
D. "In-plane" and "out-of plane" Stability Derivatives of Slender Cones

4. NONLINEAR MOTION FOR MISSILES WITH TRIM

A. Some Special Cases of Spin-yaw Lockin (BRL MR 3609)
B. Generalized Subharmonic Response of a Missile with Slight Configurational Asymmetries
C. Nonlinear Limit Motion of a Slightly Asymmetric Re-entry Vehicle

5. SUMMIT MOTION, DE DATA FITTING AND SPIN-JET DAMPING

A. Gravity-Induced Angular Motion of a Spinning Missile
B. A Method for Extracting Aerodynamic Coefficients from Free Flight Data
C. Comment on "A Method for Extracting Aerodynamic Coefficients from Free Flight Data"
D. Spin Jet Damping of Rocket-Assisted Projectiles

6. MOVING PAYLOADS

A. Influence of Moving Internal Parts on the Angular Motion of Spinning Projectiles
B. Angular Motion of a Spinning Projectile with a Viscous Liquid Payload
C. Symptom of Payload-Induced Flight Instability
D. Side moment Exerted by a Spinning Coning Highly Viscous Liquid
Payload (BRL R3074)

7. AEROELASTIC PROJECTILES
A. Flight Motion of a Continuously Elastic Finned Missile
B. Spin-Yaw Lockin of an Elastic Finned Missile
C Aero-elastic Motion of a Spin-Stabilized Projectile

8. SUMMARY
A. Angular motion of Spinning Almost Symmetric Missiles
B. Symmetric Missile Dynamic Instabilities- A Review

9. ADDITIONAL REFERENCES

A. Open Publications
B. BRL-ARL Publications

10. ADDENDA

A. High Performance Gun Systems
B. Some Viewgraphs


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