Modeling and Simulation of Aerospace Vehicle Dynamics

Nomenclature

a A B

= acceleration (first-order tensor) of point B wrt frame A

D A(*)

= rotational time derivative of a vector or tensor * wrt frame A

d(*)/d t

= ordinary time derivative

E

= identity tensor

I B C

= inertia tensor (second-order tensor) of body B referred to point C

l BA C

= angular momentum (first-order tensor) of body B wrt frame A referred to point C

m B

= mass (zeroth-order tensor or scalar) of body B

P

= projection tensor (second-order tensor)

p A B

= linear momentum (first-order tensor) of particle B wrt frame A

R BA

= rotation tensor (second-order tensor) of frame B wrt frame A

s BA

= displacement vector (first-order tensor) of point B with respect to (wrt) point A

s AB[*] A

= transposed vector or matrix *

T BA

= kinetic energy (scalar) of body B wrt frame A

v A B

= velocity vector (first-order tensor) of point B wrt frame A

? BA

= angular velocity vector (first-order tensor) of frame B wrt frame A

[*] A

= vector or tensor * expressed in the A coordinate system

Note

Scalars are represented by lower-case characters, vectors by bold lower- case characters, and tensors by bold upper-case characters. A subscript signifies a point and a superscript signifies a frame.

UNLIMITED FREE
ACCESS
TO THE WORLD'S BEST IDEAS

SUBMIT
Already a GlobalSpec user? Log in.

This is embarrasing...

An error occurred while processing the form. Please try again in a few minutes.

Customize Your GlobalSpec Experience

Category: AC Motors
Finish!
Privacy Policy

This is embarrasing...

An error occurred while processing the form. Please try again in a few minutes.