Finite Element Multidisciplinary Analysis, Second Edition

Nomenclature

Some of the major symbols referred to in this book are given below; others are defined in the text as needed. In general, a matrix or row vector is represented by a bold, upper case letter whereas a bold, lower case letter is indicative of a column vector.

A

= plant dynamics matrix in body-fixed coordinates

A e( k)

= aerodynamic influence coefficient matrix

A j

= coefficient matrices of aerodynamic approximation, j = 0, 1

= plant dynamics matrix in inertial frame of reference

= solution to aerodynamic approximations A j

B

= control influence matrix in body-fixed coordinates

= control influence matrix in inertial frame of reference

C

= output state matrix in body-fixed coordinates

C c

= Coriolis acceleration matrix

C d

= elastic damping matrix

?

= generalized damping matrix

c

= mean aerodynamic chord

D

= output control matrix in body-fixed coordinates

D E

= elastic stress strain relation matrix in structural analysis; also D

f

= fluid flux vector

E

= Young's modulus

G

= feedback controller matrix

g

= aeroelastic or structural damping

H

= open-loop transfer function matrix of plant and all analog elements

?

= closed-loop transfer function matrix

H*

= hybrid loop gain matrix

I

= identity matrix

Im

= imaginary part

i *

= ??1, imaginary number

K

= elastic stiffness matrix

K G

= geometric stiffness matrix

K ?

= centripetal acceleration matrix

= generalized stiffness matrix

K 2

= dynamic...

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