Presented by: Naval Surface Warfare Center, Dahlgren Division, Code G32 Doug Ramers, Ph.D., P.E. Phone

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Integrating Dynamic Systems Simulation into the Design process of a 105mm Gun s Recoil System Presented at the NDIA Joint Armaments Forum, Exhibition & Technology Demonstration Baltimore, Maryland 22 April 2015 Presented by: Naval Surface Warfare Center, Dahlgren Division, Code G32 Doug Ramers, Ph.D., P.E. Phone 540-653-6023 Email: Douglas.Ramers@navy.mil Distribution Statement A: Approved for Public Release; Distribution is Unlimited

Problem Description: Recoil System Spring force Breech Force Counter Recoil Gas Spring Packing & Seal friction force Transmitted recoil force Breech force Gun Tube & Breech Bearing force Rod Rod pull force Hydraulic Recoil Brake Packing & Seal friction force Variable orifice Hydraulic force Design Brake Force Distribution Statement A: Approved for Public Release; Distibution is Unlimited 2

Objectives Develop and simulate models of recoil system functionality to: Generate hydraulic orifice area design specifications, Generate buffer area design specifications, Generate hydraulic and pneumatic pressure and friction forces for cylinder packing, and seal design specifications, Verify suitability of dimensional design specifications, and Verify and predict system performance. Target recoil and force requirements at nominal T&P, charge 7 based breech force at zero elevation Key References DOD-HDBK-778(AR) RECOIL SYSTEMS (1988) MIL-HDBK-785(AR) DESIGN OF TOWED ARTILLERY WEAPON SYSTEMS (1990) RHEINMETALL Handbook on Weaponry (1982) Distribution Statement A: Approved for Public Release; Distibution is Unlimited 3

Driving force for recoil system Impulse (I) Integral of breech force curve Used to design brake force function Breech Force Distribution Statement A: Approved for Public Release; Distibution is Unlimited 4

Brake Force Functions Brake force curve design Average Brake Force: K0 = I 2 /(2*m recoil *L recoil ) Recoil time: t recoil = I /K0 Estimate friction and gas spring forces Design trapezoidal FBrake(t), over recoil duration t recoil K0 Distribution Statement A: Approved for Public Release; Distibution is Unlimited 5

Designing Variable Orifice Equation of motion with breech and brake force Distribution Statement A: Approved for Public Release; Distibution is Unlimited 6

Simulink Simulink and Simscape Graphical numerical programming Numerically solve differential equations Directional flow - evaluation order Simscape (and Simhydraulics) Graphical physical modeling Through and across variables bidirectional Encapsulate equations for all behaviors of components Distribution Statement A: Approved for Public Release; Distibution is Unlimited 7

Simhydraulics Variable Orifice Distribution Statement A: Approved for Public Release; Distibution is Unlimited 8

Recoil System Model Gas Spring Recoil Cylinder Distribution Statement A: Approved for Public Release; Distibution is Unlimited 9

Simulation: Force Target average force 10,500 lbf Calculated average force 10,150 lbf Expected recoil time Distribution Statement A: Approved for Public Release; Distibution is Unlimited 10

Validation: Recoil and Velocity Expected recoil 48 Expected max recoil velocity: 37 fps Distribution Statement A: Approved for Public Release; Distibution is Unlimited 11

Design Information From Simulation Maximum hydraulic pressure: 550 psi Maximum gas pressure: 880 psi Maximum gas temperature: 150 o F Distribution Statement A: Approved for Public Release; Distibution is Unlimited 12

Conclusions and Continuing Work Dynamic system simulation critical to design process Highly interdependent interacting subsystems Exploration of design variables and trade studies Actual dimensional design of subsystems (buffer, replenisher) Sensitivity analysis Continuing work Continue refining model detail Explore and complete counter recoil buffer design Conduct environment and operational mode sensitivity analysis Validate model Tests prototype subsystems Range test development gun-recoil system Iterative design adjustments using test and simulation results Distribution Statement A: Approved for Public Release; Distibution is Unlimited 13