Aeroelastic Stability Of Complete Rotors With Application To A Teetering Rotor In Forward Flight

The derivation of a set of non-linear coupled flap-lag-torsion equations of motion for moderately large deflections of an elastic, two-bladed teetering helicopter rotor in forward flight is concisely outlined. The following degrees of freedom are included in the mathematical model: rigid body flapping, rigid body lead-lag, elastic bending in flap and lead-lag, blade root torsion, and shaft torsion. Quasi-steady aerodynamic loads are considered and the effects of reversed flow are included. The aeroelastic stability of the complete rotor is investigated by using a linearized system of equations of motion. The equilibrium position about which the equations are linearized is obtained by considering the trim state of the helicopter, in true or simulated forward flight conditions. The sensitivity of the aeroelastic stability boundaries to interblade structural and mechanical coupling is illustrated by comparing the complete rotor stability boundaries with those obtained from a single blade analysis for a number of hover and forward flight cases.

[1]  P. Friedmann,et al.  Aeroelastic stability of trimmed helicopter blades in forward flight , 1975 .

[2]  R. G. Kvaternik Experimental and analytical studies in tilt-rotor aeroelasticity , 1974 .

[3]  William D. Anderson,et al.  Investigation of Reactionless Mode Stability Characteristics of a Stiff Inplane Hingeless Rotor System , 1973 .

[4]  P. Friedmann,et al.  Aeroelastic stability of coupled flap-lag motion of hingeless helicopter blades at arbitrary advance ratios† , 1975 .

[5]  C. E. Hammond,et al.  Efficient numerical treatment of periodic systems with application to stability problems. [in linear systems and structural dynamics] , 1977 .

[6]  W. L. Miao,et al.  Rotor aeroelastic stability coupled with helicopter body motion , 1974 .

[7]  Troy M. Gaffey,et al.  The Effect of Positive Pitch-flap Coupling (Negative δ 3 ) on Rotor Blade Motion Stability and Flapping , 1969 .

[8]  H. Huber,et al.  Effect of Torsion-Flap-Lag Coupling on Hingeless Rotor Stability , 1973 .

[9]  W. Johnson,et al.  Dynamics of tilting proprotor aircraft in cruise flight , 1974 .

[10]  P. Friedmann,et al.  Aeroelastic stability of periodic systems with application to rotor blade flutter , 1974 .

[11]  Peretz P. Friedmann,et al.  Influence of Modeling and Blade Parameters on the Aeroelastic Stability of a Cantilevered Rotor , 1977 .

[12]  Peretz P. Friedmann,et al.  Recent developments in rotary-wing aeroelasticity , 1977 .

[13]  Murray S. Hirschbein,et al.  Open and Closed Loop Stability of Hingeless Rotor Helicopter Air and Ground Resonance , 1974 .

[14]  Peretz P. Friedmann,et al.  Effect of modified aerodynamic strip theories on rotor blade aeroelastic stability , 1976 .

[15]  Dewey H. Hodges,et al.  Stability of elastic bending and torsion of uniform cantilevered rotor blades in hover , 1973 .

[16]  H. A. Luther,et al.  Applied numerical methods , 1969 .

[17]  Kurt H. Hohenemser,et al.  Some Applications of the Method of Multiblade Coordinates , 1972 .