What Is Vibration and What Is Vibration Mode - Engineering Assignment Help

Assignment Task

Exam questions are listed as below 
1.Please use your own language to explain what is vibration and what is vibration mode?Usually what concepts do we have (or need to solve) in a vibration mode? 
2. If a beam is subjected to an impact, right after the impact, what frequency components we will have in the beam vibration signal?
3. Give the boundary conditions of the following beam structures. (8) (hand-written)

4.Derive the elastic bending moments of the following two beams with given crosssections under certain deflection w(x,t) at an arbitrary location x (assume x as the location along the beam longitudinal direction), and write down the free vibration governing equations of these beams (do not need to solve the equations).
5.Provide the boundary/continuity conditions of the following delaminated beam at the delamination edge.

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