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APC Engineering Design

ENGINEERING DESIGN PROCESS USED BY
LANDING PRODUCTS TO DEVELOP APC PROPELLERS

CAD-CAM Computer Program

APC propeller development uses a proprietary PC based CAD-CAM system. The software targets model propeller design and manufacture. This system has been undergoing continuous development and improvement for nearly a decade. Refinements will continue as PC computing speeds continually improve.

Injection molding parting line requirements

APC propellers are injection molded using a pair of mold halves. Computer driven CNC milling machines generate the molds. The mold halves must match each other precisely at the parting lines. The design of the computer software used to define airfoils and CNC motion dominantly reflects parting line driven requirements. The parting line must be very precise and continuous around the entire perimeter of the mold cavity to allow precision molding of the very thin airfoils used on many of the APC propellers.

Airfoils

The airfoils may have arbitrary shapes defined with either tabular data (splined cubic fits) or analytical functions typically used for NACA airfoils. The airfoil shapes may vary with span. Capability exists to smoothly "splice" together widely different airfoil shapes. The dominant basis for the primary airfoil shape used in most APC propellers is similar to the NACA 4412 and Clark-Y airfoils, except the leading edge is somewhat lower. Also, the aft region is somewhat thicker. This alters the zero-lift angle by approximately one degree and provides greater lift without having to twist the blade even more. All blades have some washout near the tip. For applications where Mach number effects become significant near the tip, either pitch washout or camber reduction tailoring minimizes Mach drag rise.

Hub Geometry

Cross-section geometry in and near the hub region is defined with specialized algorithms. The aerodynamic-dominant airfoil must smoothly transition into a structural-dominant shape in a manner that emphasizes strength consistent with milling machine tool constraints. Hub geometry for 3 and 4 bladed propellers is very complex because of the need to match mold parting lines at all points on the mold surface perimeter.

Theoretical basis-aerodynamics

Vortex theory is the basis for the computational method used to calculate blade loading. For some applications, (i.e., an AT-6), the fuselage shape and/or cowling can significantly affect the airflow. These flow field effects are computed using 3D potential flow theory. Lift-drag data are computed using the NASA TAIR code, using representative airspeed and engine RPM to set Mach number distributions. Empirical data are used to characterize minimum drag levels ("drag bucket") under low propeller loading conditions.

Correlation-static loads

The propeller loads and performance software module has been correlated with measured (static) thrust for a broad range of propellers. During static operations, the blade is operating under dominantly stalled conditions. Use of empirical stall angle characteristics shows that the performance calculation software consistently under-predicts (static) thrust when the pitch to diameter ratios are relatively low, around 0.5. As pitch to diameter ratios increase to 1.0, very good agreement exists between predicted and measured thrust. A nearly linear relationship occurs when the ratio between predicted and measured thrust is correlated with pitch to diameter ratio. This correlation is used in the structural analysis software to increase stress loading for low pitch to diameter ratios. Application of these stall regime correlation factors to normal flight conditions is perhaps inappropriate. However, the practice is used to provide conservatism in stress calculations.

Theoretical basis-structural

A propeller-unique stress analysis package is used to compute propeller peak stress and fatigue endurance. Blade cross-section geometric properties (needed for structural analysis) are computed numerically with a very fine chord wise mesh. Steady and alternating stresses are evaluated along the entire blade considering inertia and aerodynamic loads. Stresses are evaluated in terms of bending (thrust and drag), centrifugal (inertia), and torsional (acceleration) components. Fatigue endurance margins are estimated assuming Goodman, Gerber and Smith criteria.

Natural modes (frequencies) of the propeller are computed assuming that the hub is rigid. Both published and empirically determined ranges of composite modulus of elasticity (bending) are used to calculate dynamic amplification factors. These dynamic amplification factors are used to augment (intensify) cyclic stress components.

Torsional acceleration is typically highly sensitive to engine fuel mixture and is therefore rather uncertain. Design parameters have been empirically developed to seek reasonable upper bounds for maximum torsional acceleration loads. However, the uncertainty with this sometimes strong (especially for racing applications) contributor to cyclic stress requires that extensive operational testing be employed to verify stress margins for high performance applications.

Cyclic bending stress induced by precession during rapid loops is now included in the stress computations. However, this effect is very minor, even under extreme pitch rate conditions. Also, precession stress is normally out-of-phase with torsion vibration effects; therefore, it does not add to peak cyclic stress magnitude.

 

Modulus of elasticity

Modulus of elasticity (bending) is empirically determined using force-deflection tests with molded specimens that reflect the effects of "skinning " during the injection molding process. The bending modulus is sensitive to humidity.

Design iteration

Propellers generally have to perform well over a large range of flight conditions. Therefore there is no single design condition that may be used to optimize a propeller shape, even if the model airplane characteristics (i.e., total drag coefficient) and engine performance characteristics (torque vs. RPM) are well known. Therefore, most (initial) propeller design iteration is accomplished almost exclusively with extensive flight tests. Once a design is broadly set, interactive optimization algorithms may be used to adjust diameter, pitch and chord distributions to maximize thrust for specified model speed, engine RPM and engine torque. Two complementary methods are used to measure engine RPM and model airspeed. (1) AeroSport data loggers provide direct in-flight measurement of engine RPM and airspeed. (2) Radar gun and (video) sound measurements are used to quantify model speed and engine RPM under specific flight conditions. These in-flight speed and RPM data are used to then evaluate the propellor (zero-lift relative) flow angle of attack distribution. The latter may be used to further refine blade design. After a large database is developed, interpolation among existing designs is used to identify new designs.

Engine airspeed and in-flight RPM
from Aerosport Data Loggers

The AeroSport data logger is a computer controlled data acquisition system that can record up to 30 minutes of data in solid state memory. The data are played back after flight recovery. While many options exist for the use of these data loggers, they are primarily used by Landing Products for speed and RPM measurements. The speed and RPM measurements from the data loggers rather consistently yield data very close to that determined from radar gun and audio recordings, providing considerable confidence in data accuracy.

Engine in-flight RPM
from ground based video audio recording

Engine in-flight RPM is determined using a video camera to record engine audio, and, spectral analysis software to determine dominant harmonic content from the signal. Audio data are collected with the model flying both toward and away from the pilot. Differences in apparent frequency are used to determine and remove Doppler shift effects.

3 and 4 blade design

Conversion to 3 and 4 bladed propellers is performed by matching 2-blade torque for specified model speed and RPM conditions. This method allows efficient use of a rather broad data base that now exists for 2-blade propellers.