Anna university Question paper for Structural Dynamics - Jan 2013
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Answers for Two marks:
Transmissibility: Transmissibility is defined as the ratio of the maximum amplitude that is force transmitted to the foundation to the amplitude of the applied force is known as the transmissibility of the support system.
Orthogonality of the modes: The mode shapes or eigen vectors are mutually orthogonal with respect to the mass and stiffness matrices. Orthogonality is the important property of the normal modes or eigen vectors and it is used to uncouple the modal mass and stiffness matrices.
Damping: Damping is the resistance to the motion of the vibrating body. The vibrations associated with this resistance are known as damped vibrations. It is a phenomenon in which the vibrational energy of the system is gradually reduced or the amplitude of vibration is slowly decreased.
Degrees of freedom: Degrees of freedom is a number of co-ordinates necessary to specify the position or geometry of mass point at any instant during its vibration. All real structures possess infinite number of dynamic degrees of freedom.
If a single co ordinate is sufficient to define the position or geometry of the mass of the system at any instant of time is called single degree of freedom system.
If more than one independent co-ordinate is required to completely specify the position or geometry of different masses of the system at any instant of time. It is called multiple degrees of freedom system.
If the mass of the system considered to be distributed over its entire length the mass is considered to have infinite degrees of freedom, it is referred to as a continuous system.
Mathematical modelling of an SDOF system:
To understand the dynamic behaviour of the structures it is necessary to develop their models under the influence of dynamic loads such as winds, blasts, earthquakes, etc. these models can be used as laboratory models for doing experimental studies.