Mechanical math

Ircture 5

The two equations of motion can be written in matrix form.

ru)r:: x =[;;] =

Hr l-, H2 H3 1"2 H.l*, **, ons of motion in matrix form

l- 2k k I =[i;] =l t !"1[;l

L *, mr)

(kn + kr) mA

b ]:Ax -ffin

The matrix A is called the dynamic matrix of the system.

The same procedure can be applied to two masses and three springs as in Example I.I on pg 10.

la ,o lo rl

becomes,

ll FI

or\

The equati

.r

Page 5

_ Ax