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Normal Modes of Oscillation of the VULCAN PHALANX Close-In Weapon System

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Normal Modes of Oscillation of the VULCAN PHALANX Close-In Weapon System Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1993-06 Normal modes of oscillation of the VULCAN PHALANX close-in weapon system MacNeil, Donald P. Monterey, California. Naval Postgraduate School http://hdl.handle.net/10945/39807 AD-A272 384F NAVAL POSTGRADUATE SCHOOL Monterey, California THESIS NORMAL MODES OF OSCILLATION OF THE VULCAN PHALANX CLOSE-IN WEAPON SYSTEM by Donald P. MacNeil June 1993 Thesis Advisors: William B. Colson Joshua H. Gordis Approved for public release-, distribution is unlimited 93-27654 REPORT DOCUMENTATION PAGE COM No. 0704r0188 pti toort~ng burden for this~ coiffetlin of intformt,on1 Is esitmated to average I hour per response. Includingq the time for re..wn M~rtOMS.Searching P.ii-tmn data sources. qatfser.ng and ma.nran.nq theLdat edd n o'oelqadrw t cofcon" o nforration Send comments reqarvdilnwgitfs~osb~utrden estim~ate or anyother asded of this colection Of ,nforenatlon. icldn uetosfreucqth burdnto .e "aQnqouarters er-rce. O'rettorreje for information Ooieratons and ftegoris. 12 15 Jefferso ca.,. iN.fgh. y. Suite 1204. Arlington. VA 22201-A302 and to the Officre of Myanagement and Bu~dget. Paperworki Reduction Project M0704-0 196). Washingtonr. DC 20503 1. AGENCY USE ONLY (Leave blank) 2. REPORT DATE I3. REPORT TYPE AND DATES COVERED I June 1993 I Master's Thesis 4. TITLE AND SUBTITLE 5. FUNDING NUMBERS NORMAL MODES OF OSCILLATION OF THE VULCAN PHALANX CLOSE-IN WEAPON SYSTEM 6. AUTHOR(S) Donald P. MacNeil 7. PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES) 8. PERFORMING ORGANIZATION Naval Postgraduate School REPORT NUMBER Monterey, CA. 93943-5000 9. SPONSORING I MONITORING AGENCY NAME(S) AND ADDRESS(ES) 10. SPONSORING/ MONITORING Naval Postgraduate School AGENCY REPORT NUMBER Monterey, CA. 93943-5000 111.SUPPLEMENTARY NOTES The views expressed in this thesis are those of the author and do not reflect the official policy of the Department of Defense or the U.S. Government. 12a. DISTRIBUTION / AVAILABILITY STATEMENT 12b. DISTRIBUTION CODE Approved for public release; distribution unlimited. 13. ABSTRACT (Maximum 200 words) A study Ofthe PHALANX CLOSE-IN WEAPON SYSTEM's (CIWS) UkidO round and Ihe MStAI Galling gun focused on modeling the various design factors RhaIInfluence projectile The PHALANX aurrenlly exrperiences random and variable dispersion values which can diminish Ithe PHALANX* ability to destroy Incoming targets, The locus of Ilhs analysis was on deletminlrig and understanding Ithe dynamical modes of oscillation and lorced response dynaniics. A moxdel of lhb PHALANX' MGIAl Galling gun was develoe In great delal Anid Its normal modes of vibration and natural lrewpencles were cormputed. Because dynamic response Is comprised of modal responses. it is crbitcal that lhe modes of lhe gun are understood. various excitation forces were applied. simulating a range 01 firing bursts. and dispisacemnenls 0f the thring barrel were recorded in AMtranslational directions. Animation of lhs normal modes of vibration Indicate that PH4ALANX' skx-barrel system pin"i a signilceard role In the lower order normal modes, and posstiby Ills most significart contibutijon, to diserslors Also, results of lbs dynamic response reveal barrel lip displacements. that are consilolen with well documneriled dispersion values. The FEM provides a limel method t0 evaluate proposed design rtodicstions end subsequerd analysis l1ds modeltwIlibe valuable as part of Ihe Optimilzed Barrel Design project currently underway. 14. SUBJECT TERMS IS. NUMBER Of PAGES Finite Element Method and Theory, Mechanical Vibration, 177 Phalanx CIWS, Normal Modes, Dispersion, Forced response, 16. PRICE CODE Frequency Response, Transient Response. 17. SECURITY CLASSIFICATION 10. SECURITY CLASSIFICATION 12. SECURITY CLASSIFICATION 20. LIMITATION OF ABSTRACT Of REPORT OF THIS PAGE OF ABSTRACT UNCLASSIFIED UNCLASSIFIED UNCLASSIFIED UL NSN 7540-01 -280-S500 Standard Form 298 (Rev 2.89) iIW~~ h 111Sd191 Approved for public release: distribution is unlimited. NORMAL MODES OF OSCILLATION OF THE VULCAN PHALANX CLOSE-IN WEAPON SYSTEM by D. P. MacNeil Lieutenant, United States Navy B. S., United States Naval Academy, 1986 Submitted in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE IN PHYSICS from the NAVAL POSTGRADUATE SCHOOL June 1993 Author: Donald P. MacNeil Approved by: William B. Colson, Tsirs Advisor "'Joshua r, Thesis dvisor Karlheinz E. Woehler, Chairman, Department of Physics ii ABSTRACT A study of the PHALANX CLOSE-IN WEAPON SYSTEM's (CIWS) Mk149 round and the M61A1 Gatling gun focused on modeling the various design factors that influence projectile trajectory and accuracy. The PHALANX currently experiences random and variable dispersion values which can diminish the PHALANX' ability to destroy incoming targets. The focus of the analysis was on determining and understanding the dynamical modes of oscillation and forced response dynamics. A model of the PHALANX' M61A1 Gatling gun was developed in great detail and its normal modes of vibration and natural frequencies were computed. Because dynamic response is comprised of modal responses, it is critical that the modes of the gun are understood. Various excitation forces were applied, simulating a range of firing bursts, and displacements of the firing barrel were recorded in all translational directions. Animation of the normal modes of vibration indicate that PHALANX' six- barrel system plays a significant role in the lower order normal modes, and possibly the most significant contribution to dispersion. Also, results of the dynamic response reveal barrel tip displacements, that are consistent with well documented dispersion values. The FEM provides a timely method to evaluate proposed design modifications and subsequent analysis. This model will be valuable as part of the Optimized Barrel Design project currently underway. os" 9'i,,n For By . Af/I Table of Contents I. INTRO DU CTIO N ........................................................................................ 1 A . D ISPERSION ....................................................................................... 3 B. PROBLEM DEFIN ITION ................................................................... 5 C. SCOPE OF TH E RESEAR CH ............................................................ 8 D. M OTIVATION ...................................................................................... 8 II. BACKGROU ND .......................................................................................... 12 A. FIN ITE ELEM EN T TH EO RY ........................................................... 12 B . ELEM ENTS .......................................................................................... 16 1. Description ..................................................................................... 16 2. Beam Elem ents ............................................................................ 17 3. Thin Shell Elem ents .................................................................... 18 4. Solid Elem ents ............................................................................. 18 5. N ode to N ode Translational Springs .......................................... 18 6. Rigid Elem ents .............................................................................. 19 C. EXAM PLE ............................................................................................ 20 III. M ODEL DEVELOPM ENT ......................................................................... 26 A . INTROD U CTION ................................................................................. 26 B. N OD E CREATION ............................................................................. 27 C. ELEM ENT CREATION ..................................................................... 28 1. Elem ent Attributes ...................................................................... 28 2. Elem ent Com patibility ................................................................ 28 iv D . FU N CTIONAL DESCRIPTION ......................................................... 29 1. Barrels ............................................................................................ 30 2. M uzzle Clam p ............................................................................... 30 3. M id-barrel Clam p .......................................................................... 30 4. Housing Assem bly ........................................................................ 30 a. Recoil Adapters .................................................................... 31 b. Ball Joint ................................................................................. 31 c. Rotor ....................................................................................... 31 d. Angular Contact Bearing ..................................................... 32 e. Stub Rotor ............................................................................ 32 f. Barrel Locking Lugs .............................................................. 32 E. MODEL COMPONENTS ................................ 32 1. Barrels ............................................................................................ 34 2. Stub Rotor, Muzzle and Mid-Barrel Clamps ............................. 37 3. Housing Assem bly ........................................................................ 38 a. Recoil Adapters .................................................................... 39 b. Rotor ......................................................................................
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