A one degree of freedom system (SDOF) has a mass of 11.71 x 10^3 kg and a spring with stiffness k = 64.3 x 10^6 N/m. Ans
Posted: Thu Jul 14, 2022 2:45 pm
A one degree of freedom system (SDOF) has a mass of 11.71 x 10^3kg and a spring with stiffness k = 64.3 x 10^6 N/m. Answer thefollowing:
a) What is the natural angular frequency of the system inrad/s?
b) What is the natural frequency of the system in Hz?
c) What is the natural period?
d) The system is subjected to a force F = p0 sin(ωt) where p0 isequal to 106 and ω is equal to 60 rad/s. Once its steady statecondition is reached, the system response exhibits a delay withrespect to the load which corresponds to an interval of tr = 0.0087s. What is the value of the damping ratio, ξ?
e) What is the amplitude of the displacement at steadystate?
f) What is the value of the dynamic amplification factor insteady state?
g) What would be the phase angle and delay of the system tr ifthe damping ratio of the system had a value of 21.26%?
a) What is the natural angular frequency of the system inrad/s?
b) What is the natural frequency of the system in Hz?
c) What is the natural period?
d) The system is subjected to a force F = p0 sin(ωt) where p0 isequal to 106 and ω is equal to 60 rad/s. Once its steady statecondition is reached, the system response exhibits a delay withrespect to the load which corresponds to an interval of tr = 0.0087s. What is the value of the damping ratio, ξ?
e) What is the amplitude of the displacement at steadystate?
f) What is the value of the dynamic amplification factor insteady state?
g) What would be the phase angle and delay of the system tr ifthe damping ratio of the system had a value of 21.26%?