Proplet Propeller Design

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AAE 490/590T Design Build Test Proplet Propeller Design Final Presentation May 3, 2005 Phil Spindler Bryan Redman Christian Naylor Mark French Chris Hopkins Kyle Ryan AAE AAE AAE AAE AT/AAE AAE spindlep@purdue.edu redmanb@purdue.edu cnaylor@purdue.edu frenchm@purdue.edu chrstph182@netscape.net kpryan@purdue.edu

Presentation Outline Project Purpose Introduction to Proplets Design Mission Final Design Outcome Design Method overview Spiral Design Optimization techniques Final Design Method Construction Method Cutting acrylic plug Making rubber mold Laying up CF propeller Propeller Testing Testing Methods Comparison with design results Comparison with standard propellers Conclusions

What is a Proplet? A proplet works the same way as a winglet on a wing Proplet changes lift distribution near blade tip to reduce induced drag Just as with a winglet, a proplet must be properly loaded to achieve a performance benefit Proplet Studies Anderson, P. A Comparative Study of Conventional and Tip-Fin Propeller Performance, Twenty-first Symposium on Naval Hydrodynamics 1997: pp. 930. Sullivan, J.P., Chang, L.K., and Miller, C. J., The Effect of Proplets and Biblades on the performance and Noise of Propellers, Transactions- Society of Automotive Engineers, Vol. 90, No. 2, December 1982, pp 2106-2113, Redman, AAE 415 Project Fall 2003 Non-planar geometry is used in many marine propellers Limited Aircraft Proplet Research/Design

Propeller Concepts Advance Ratio Efficiency Thrust Coefficient η c t p V j = ΝD T 2πΝ V = T = ρ 2 Ν M D 4 x Power Coefficient c p = TV ρn 3 D 5 N [rev/sec] Mx = torque D = prop diameter

The Project: Design Mission The goal of this project is to design, build and test a propeller for electric remote control aircraft that uses proplets to increase the efficiency of the propeller in standard RC flight regimes. Specific Design Mission Model High Altitude Airship requires high static thrust for directional control. Propeller designed for AXI 2826-12 Motor. Advance Ratios ~ 0<J<0.6 General Application Long Duration UAVs efficiency of propulsion system relates directly to airtime. Propeller designed for specific motor characteristics. Other RC aircraft Advance Ratios ~ 0<J<1.5

Final Propeller 12 inch total Diameter Quadratic twist distribution Quadratic chord distribution Carbon Hub with molded center hole Blades have 3 layers of fiberglass on outside with carbon weave core Small Proplets Glossy finish for low viscous drag

Spiral Design In the design of this propeller a spiral design method was used. Each spiral consisted of Design, Build, and Test sections Project Progress Spring 05 % Project Completion 120 100 80 60 40 20 1 st Spiral 2 nd Spiral 3 rd Spiral 0 December January February March April May

1 st Spiral Summary Design Matlab script to generate CMARC input complete Vortex Lattice Code Partially completed Catia Model and Automation Underway Software Tools Partially integrated Construction Constructed proplet propeller from existing propeller blades Investigated methods for making molds Testing Test stand completed Propellers successfully tested Compared Test results with Computational methods

2 nd Spiral Summary Design Finalized Design Software Optimization techniques used Proplet Trade Study Automated Catia Model Completed Construction Researched Molding techniques Tested mold release Build Mold Basin Acquired materials Testing Investigated Increasing test accuracy

3 rd Spiral Summary Design Modified and finalized design Completed CNC tool paths Generated test comparison data Construction Cut acrylic Propeller Created Rubber mold Built 2 composite propellers Testing Tested final proplet propeller Tested non-proplet propeller Tested factory propellers Compared test results with computational methods

Design: Software Flowchart Airfoil Selection (XFOIL) Input value ranges Chord Distribution, Angle of Attack Distribution, Prop Diameter, Proplet Geometry, RPM Optimization Loop Optimized Design Parameters Geometry Generation CMARC Input Generation Catia Model CMARC CMARC Output Reader SurfCam

Design: Modified Software Airfoil Selection XFOIL Input value ranges Chord Distribution, Angle of Attack Distribution, Prop Diameter, Proplet Geometry, RPM Goldstein Propeller Optimization MATLAB (did not include proplets) Proplet Trade Study CMARC Geometry Generation MATLAB Catia Model SurfCam

Design Variables Design Variables Propeller Diameter constant 12 inches Propeller Vinf constant 30 ft/sec Design Thrust constant 3 lbf root 0.5 to 1.5 inches Chord Distribution TR 0.2 to 1 coefficient -4 to 0 Root 0 to 90 deg Beta Distribution tip 0 to 45 deg coefficient -100 to 0 Proplet Length 0.05 to.2 % R Proplet theta 30 t0 90 deg Blend Radius 0.01 to.05 meters Proplet incidence angle -5 to +5 deg

Proplet Geometry Variables Z - thic knes s 10-5 05 0.1 0.05 0-0.05 Y - span -0.1-0.01 0 0.01 Length X - chord -0.1 X - c hord Blend Radius Rotation Angle -0. 1 X - c hor d Proplet Incidence Angle

Design: Geometry Z - th ic kness 0.01 0-0.01 0.036 0.034 0.032 0.1 0. 05 0-0. 05 Normalized Chord Distribution 0.03 0.028 0.026 0.024 0.022 Y - spa n - 0.1 0.02-0. 01 0 0.01 0.018 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Normalized Span Posit ion X - chord 55 50 Angle of Att ack Dist ribut ion (deg) 45 40 35 30 25 20 15 0 0. 1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0. 9 1 Normalized Span Position

Design Optimization Minimization of objective function Maximize efficiency Minimize (-1)*efficiency Subject to constraints Design variable bounds Multi-objective optimization Combination of objective functions Sequential Quadratic Programming Creates local quadratic sub-problem Quadratic objective Linearized constraints FMINCON implements SQP in MATLAB Objective function Linear and non-linear constraints Variable bounds Initial design point

Objective: Design Optimization Optimize efficiency over several advance ratios Efficiency evaluated as cost function of design variables RMS weighting is a means to the best performance over range of advance ratios Subject to a minimum thrust requirement Common difficulties with optimization Computation time Local minima

Response Surface Method Set of points generated using analysis tool Algebraic approximation of analysis response response = b b b 0 12 11 + b x x x 1 x 2 1 1 2 1 + b + b + b 22 13 x 2 x x 1 2 2 2 x + b x 3 + b 33 3 + b 3 23 x 2 3 +... x 2 x 3 +... +... Coefficients generated by rstool are used to generate the response surface with linear, interactive, and quadratic terms

Optimization Design Sequence Optimize proplet and blade geometry concurrently Aerodynamic analysis: CMARC Design variables (9) Distribute objective function weighting using RMS scheme Optimized over range of J ISSUES: Computation time Function evaluations >> 10e3 Run time per function evaluation approx. = 40 sec Total t >> days Local minima Software compatibility

Final Design Sequence Performed trade studies Proplet Analysis: CMARC Design variables (5) Total cases > 3e3 Computation time approx. = 37 hrs Run time per function evaluation approx. = 40sec Produced proplet trade study plots Blade Analysis: Gold.f Design variables (6) Total cases > 200e3 Computation time approx. = 20 hrs Run time per function evaluation approx. = 0.2sec Produced blade performance response surface Informed starting point for SQP operation

Final Design Combined trade study data Interpreted proplet trends Applied SQP to blade Optimization using response surface starting point Mated best individual proplet with best individual blade Z - th ic kne ss 0.01 0-0.01 0.1 0.0 5 0-0.05 Y - sp an -0.1-0.01 0 0.01 X -c hord

Build Method Catia Model Created from design software Cut an acrylic propeller on 5-axis CNC machine Create a female mold using silicon rubber Mold a solid composite propeller

CNC acrylic propeller Method Created tool paths in Surfcam Cut top side of propeller with hub and proplets still attached to stock Filled first cuts with Great Stuff expanding foam Flipped and Cut lower surface Obstacles Small geometry is very sensitive to error (thickness) Great stuff dries overnight so machine must be re-zeroed Chipping of trailing edge

Molding Materials Silicon rubbers such as Silastic have been used in the past with success. Molds are flexible enough to release well from composite materials and complex geometries. Silastic proved to be too expensive so a similar material called Hobby Mold was chosen instead Test showed that no mold release was necessary for Hobby Mold and surface quality was excellent Silastic Hobby Mold

Mold Construction Pour-molding method chosen for ease in manufacturing. Created for variable length and volume. Nut-plates which are common to aircraft access panels were used so the mold can be adjusted and disassembled.

Mold Construction Foam to reduce silicone usage Initial Setup Mold basin resized to minimize silicone usage Locating Pins Prop Hangers

Mold Construction 1 2 Second Pour 3 4

Carbon fiber Higher bending resistance, lower impact resistance Available from Solar Car Team S-glass Higher impact resistance Inexpensive, available Final Choice: Composites Selection 3 layers of small weave S-glass was used on the outer surface of each blade (0-45-0) for impact resistance and surface quality Strands of carbon used spanwise for first propeller, weave used for second propeller blade for stiffness Hub filled with S-glass for first prop, Carbon for second

Composite Blade Lay-up A pin in the hub maintains our mounting hole.

Composite Blade Lay-up Locator pins helped to assure that the mold halves were properly aligned. Resin was poured onto the final lay-up and excess resin was allowed to escape the sides of the mold.

Proplet Propeller 1 Trimmed up 2 Clear-coated for a better surface and balance

Reference Propeller 1 2 Trimmed up 3 Painted Proplets removed and balanced

Testing For comparison with the designed proplet propeller several propellers were tested Final proplet propeller First proplet propeller First propeller without proplets Wood propeller Molded plastic propeller

Testing Method Need to Generate: Free Stream Velocity White Tunnel Rotation of Propeller (1) Electric Motor (AXI 2826-12) Power for Motor (2) DC Power Supply Voltage Control Radio Controller and ESC Need to Measure: Thrust (and drag) Force Balance Torque (3) 50 in-oz torque cell RPM (4) Optical tachometer Power In (V and A) (2) DC power Supply Free Stream Velocity Pitot probe and Manometer

Test Apparatus Motor Mount Assembly

Testing Apparatus

Test Results Ct vs Advance Ratio 0.250 Thrust Coefficient Ct 0.200 plastic wood proplet2 0.150 proplet1 reference 0.100 CMARC 0.050 0.000 0.200 0.300 0.400 0.500 0.600 0.700 0.800 0.900 1.000-0.050-0.100-0.150 Advance Ratio J

Test Results Cp vs Advance Ratio Power Coefficient Cp 0.100 0.080 0.060 0.040 0.020 0.000 0.200 0.300 0.400 0.500 0.600 0.700 0.800 0.900 1.000-0.020-0.040-0.060-0.080-0.100 plastic wood proplet2 proplet1 reference CMARC -0.120 Advance Ratio J

Test Results 60.00% 50.00% Efficiency vs Advance Ratio For advance ratios between 0 and 0.6 the Final proplet propeller is the most efficient 40.00% Efficiency 30.00% 20.00% 10.00% plastic wood Final Proplet First Proplet reference 0.00% 0.200 0.300 0.400 0.500 0.600 0.700 0.800 0.900 1.000 Advance Ratio J

Test Results Efficiency vs Thrust 60.00% 50.00% Efficiency 40.00% 30.00% 20.00% 10.00% plastic wood proplet2 proplet1 reference 0.00% 0.00000 0.50000 1.00000 1.50000 2.00000 2.50000 3.00000 3.50000 4.00000 Thrust (lb)

Conclusions Proplets can increase the efficiency of an RC size propeller The designed proplet propeller performs best at advance ratios lower than 0.6 The designed propeller performs more efficiently then the currently used factory propellers for the HAA model To maintain a performance benefit, the proplets must be very thin Silicon rubber is an excellent mold material for making composite propellers A hybrid Fiberglass and CF layup can be used to make a propeller which is stiff and impact resistant CMARC is a good tool for simulating propeller performance where viscous effects are small but not when they are large as with this project

Design Recommendations Propeller would benefit from being thinner. Thickness was chosen for structural considerations and construction. Airfoil selection could be included in the optimization. Hub could be smaller and still structurally sound. With enough time and computing resources an integrated optimization could be used to improve the design. Genetic algorithm would be a better fit for this multi modal design space than an SQP optimization. Integrating structural analysis into optimization could yield a better design. An aerodynamic analysis tool that includes viscous effects would also increase propeller performance.

Lessons Learned Optimization is hard and very time consuming Cutting something small and thin on the CNC machine is very difficult Secure propeller nut VERY tightly (or conduct impact resistance test)