This method is very simple to get mathematical model of both types of mechanical system.

Let us consider a mechanical system as shown in Fig. 5.24.




Fig. 5.24


The following steps are followed:


Step 1 Total number of nodes = Total number of displacements = 3
  One reference node is taken in addition i.e., total number of nodes becomes 4.


Step 2


M1 is connected between x1 and reference
  M2 is connected between x2 and reference
  M3 is connects between x3 and reference


Step 3


K1 is connected between x1 and reference
  K12 is connected between x1 and x2
  K2 is connected between ...

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