Aircraft and Rotorcraft System Identification: Engineering Methods with Flight-Test Examples

Nomenclature

A, B, C, D

=

state-space representation (standard form)

A ? B

=

Schur product of matrices (element-by-element multiplication: A ? B ? [ a ijb ij]

a

=

lift-curve slope

a x, a y, a z

=

accelerometer components along the body axes (longitudinal, lateral, vertical)

B e

=

frequency resolution ( B e ? ? f)

B r

=

half-power bandwidth

b

=

with subscript, a bias error parameter (e.g., b ? ? bias error in ?)

C T

=

thrust coefficient

C ?

=

constant to account for spectral window overlap

C 0

=

Carpenter-Fridovich inflow constant

CR i

=

Cram r-Rao bound of the ith identified parameter ( ? i) of the converged solution ( ? 0)

c

=

rotor-blade chord

D

=

matrix of gradients ? y e/ ? ?, where y e = y data - y

d B/d t

=

time derivative in an Eulerian (body-fixed) frame of reference

d I/d t

=

time derivative in an inertial frame of reference

dec_span

=

decade span, defined as dec_span = log( ? max/ ? min) to characterize the fraction of a decade for which acceptable data are available

e

=

offset of the rotor-blade flapping hinge from the center of rotation of the rotor shaft

F

=

external force vector

f

=

frequency, Hz

f min, f max

=

theoretical minimum/maximum...

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