What are two degree of freedom system ?

By Sandeep Kumar

 Freedom system 

       System which require two independent co-ordinate to specify their position during motion are called two degrees of freedom systems. A two degree of freedom system, can be considered as a special case of a multidegree of freedom system. As a general rule, number of degrees of freedom equal to the number of discrete masses of the system. However, this is not always true.
           

      Principal modes of vibration 

       The principal modes of vibration refer to the specific patterns or shapes assumed by vibrating objects. These modes represent distinct ways in which an object can oscillate or resonate. The study of these modes is essential in fields such as physics and engineering to understand the behavior of structures and materials under different vibrational conditions. 
 In general rule, a two degrees of freedom system should have two natural frequencies.
But, in some situations, both the masses can vibrate at any of the natural frequencies.in this condition, a definite relationship exists between the amplitude of the two co-ordinates, and the configuration is referred to as principal mode. There exist two principal modes of vibration. 
    The system at its lowest or first natural frequency is called it's first mode, at its next second higher it is called the second mode, and so on . If at the principal mode of vibration, the amplitude of one of the masses is unity, it is known as normal mode of vibration.
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