Structural dynamics

1. Differentiate Static analysis and Dynamic analysis with proper representing pictures

The differents between static analysis and dynamic analysis are,

• The variation of load with respect to time
• Motion can not be disregarded
• Two additional force must be accounted i.e.,Inertia forces,damping forced

2. Explain the following with relevant force-displacement graph

1. Elastic behavior

1. Inelastic behavior

1. Plastic behavior

1. Non-linear Inelastic behavior

3. Explain Mass, Stiffness & Damping components in the equation of motion 

The mass component:The roof mass without the stifness or damoing of the frame.The external force fi on the mass component is related to the acceleration by fi=mu

The stiffness component:The external force fs on the stifness component is related to displacement by fs=ku

The damping component:The external force on the damping component fd is relatede by fd=cv

4. Provide relationship between Natural period (Tn) & Natural frequency (f) and provide their definitions 

Natural period:Natural period of vibration is the time required for the undamped system to complete on cycle of free vibration.Its unit is seconds.

                      Tn=2pi/wn

Natural frequency:Natural frequency is the number of cycle executed by system in 1 secong.It unit is hertz.

                      fn=1/Tn

5. Explain in detail about Response spectrum & its Graph 

Response spectrum is a practical means of characterizing ground motion and their effect of structure.It provide a practical means to summarize the peak response of all possible linear sdf system to a particular component.