Module 10 : Vibration of Two and Multidegree of freedom systems; Concept of Normal Mode;
                      Free Vibration Problems and Determination of Ntural Frequencies;
                      Forced Vibration Analysis; Vibration Absorbers; Approximate Methods -
                      Dunkerley's Method and Holzer Method
Lecture 1 : Free Vibration of Two d.o.f. systems

Observing the derivation of the equation of motion for the single d.o.f and two d.o.f system we notice that the procedure remains essentially the same viz.

Step 1 : Consider the system in a displaced Configuration

Step 2 : Draw Free Body diagrams

Step 3 : Use Newton 's second Law to write the equation of motion.

 

 

 

We use the same procedure to develop the equations of motion even for multi-d.o.f systems.