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
Concept of Normal Modes
 
Consider  
10.1.11
     If we substitute = in eq. (10.1.5), we get,
 

10.1.10
 

Thus the ratio of the amplitudes of the two masses is:

 
10.1.13
 

Similarly, if we substitute = in eq. (10.1.5), we get,

 
10.1.14
 

Thus the ratio of the amplitudes of the two masses for this case is:

 
10.1.15
 

Such synchronous motion of the masses with constant ratio of amplitudes is known as Normal Mode Vibration.