3.3 Hierarchical Principles of Model Building
125
Fig. 3.27 Graphs of the displacements of individual springs and a graph of their resulting
displacement with parallel connection
Fig. 3.28 Series connection
of springs
x 1 + x 2 = x
The elastic forces based on the assumption of inertia of the springs should be
equal. Therefore, we obtain:
x = −
F ela
k 1
−
F ela
k 2
= −F ela
k 1 + k 2
k 1 k 2
where
k =
k 1 + k 2
k 1 k 2