Question $1.(20$ marks$)$

Answer the following: use point form and sketches where helpful.

$(7$ marks$)$ If an external force is applied to a structure that is at rest initially, does

transient response exist? Explain your answer.

$(7$ marks$)$ What are the relations among the displacement response spectrum, velocity

response spectrum, and acceleration response spectrum for an earthquake excitation?

Does the acceleration response represent the acceleration with respect to the base of

the structure?

$(6$ marks$)$ Provide the basic assumptions in Newmark's method for solving

numerically second order differential equations.