主权项 |
1. A measurement system for in-flight assessment of freedom from flutter of an airplane, the system comprising:
a plurality of vibration sensors located on a wing of the airplane, with two vibration sensors per selected wing chord, the vibration sensors for measuring finite duration non-stationary flutter vibrations signals; and signal processing circuits for processing the finite duration non-stationary flutter vibrations signals from the plurality of vibration sensors, the signal processing circuits configured to:
analyze airplane structure vibrations based on the finite duration non-stationary flutter vibrations signals measured by the vibration sensors;perform computations of the airplane structure vibrations in real-time based on current measurements from the vibration sensors;determine, for a plurality of mode shapes of each of the finite duration non-stationary flutter vibrations signals, a natural frequency (f), a damping coefficient (ζ), a phase (φ) and an amplitude (A) for each mode shape by using a method of least squares of errors of time signals based on measurements from the vibration sensors;determine a significance of the determined mock shapes of each of the finite duration non-stationary flutter vibrations signals by subtracting from the finite duration non-stationary flutter vibrations signal the determined mode shapes, and calculating a value of decrease in a residual sum of squares; andevaluate the airplane structure vibrations by analyzing estimates of an autocorrelation function Ryy(l) for operational finite duration non-stationary flutter vibrations signals, by computing the autocorrelation function Ryy(l) by multiplying a constant number of samples of the finite duration non-stationary flutter vibrations signal (yn) by successive segments of the finite duration non-stationary flutter vibrations signal (yn), the finite duration non-stationary flutter vibrations signal having a size of N samples, and by summing results according to an equation:Ryy(l)=1N/2∑n=1N/2yn·yn+ln=1,2,3,…,Nl=0,1,2,…,N/2 to obtain the autocorrelation function Ryy(l) having a length of a half of the evaluated segment of the finite duration non-stationary flutter vibrations signal (yn) while maintaining the values of the damping coefficients (ζ) of the finite duration non-stationary flutter vibrations signals. |