Practice Underdamped Case (ζ<1) (10.2.1) - Duhamel Integral - Earthquake Engineering

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6 sample questions

Question 1.
Define the damping ratio.
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Think about how quickly the system stops moving.
Question 2.
What is the formula for the damped natural frequency?
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Consider the relationship between the natural frequency and damping.
3Question 3.
What is characterized by a damping ratio less than 1?
- Overdamped System
- Critically Damped System
- Underdamped System
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Remember what happens when the damping ratio is low.
4Question 4.
True or False: The impulse response function can predict behavior for all systems including nonlinear systems.
- True
- False
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Think about the properties of linear versus nonlinear systems.
Question 5.
Calculate the damped natural frequency for a system with a natural frequency of 5 Hz and a damping ratio of 0.3.
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Use the formula ω_d = ω_n √(1 - ζ²).
Question 6.
Explain how increasing the damping ratio would affect the oscillations of a structure during an earthquake.
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Consider the balance between oscillation and damping energy.

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