Question

# A SDOF system is characterized by a mass m = 1000 kg, a stiffness k = 157,75 kN/m and a damping ratio ξ = 5%.

Determine the first 20 sec response of this system to an imposed harmonic force p(t) = p0 sin πt, where p0 = 2000 kN, considering an initial displacement u(0) = 20 cm and an initial velocity (du/dt)t=0 = 1,5 m/sec.

How can I find the first 20 sec response of this system using the Newmark's constant average acceletarion** **method with the time steps Δt = 0.01 sec, 0.05 sec, 0.1 sec for this system?

#### Top Answer

First write the equation of motion of the system. Then... View the full answer