Ft [M U

The mass matrix [M] is a diagonal matrix and in general it can be a nondiagonal symmetric matrix.

The forces due to elasticity can be written as:

FS1

r K11K12

K1 n

U1

Fs2

K21K21

K2n

U2

=

<

>

, FSn ,

_ Kn1 Kn2

nn

Un

or it can be written as:

where [K] is the stiffness matrix. A detailed description of the stiffness matrix can be found in finite element books.

The damping matrix can be written as :

FD1

C11C12

C1n

U. 1

FD2

C21C21

C2n

U 2

=

<

>

, FDn ,

Cn1Cn2

nn

Un

or it can be written as:

0 0

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