Practice Unit Impulse Response Function (Green’s Function) - 9.5 | 9. Impulse and Response to Unit Impulse | Earthquake Engineering - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the impulse response function also known as?

💡 Hint: Think about the function that describes systems' responses.

Question 2

Easy

What does a unit impulse input represent?

💡 Hint: Remember the mathematical representation of an impulse.

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Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does the impulse response function help to analyze?

  • Only damped systems
  • Responses to arbitrary forces
  • Static forces

💡 Hint: Consider the broader implications of the impulse response.

Question 2

True or False: Green's Function is only applicable to undamped systems.

  • True
  • False

💡 Hint: Remember the definition of linear time-invariant systems.

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Challenge Problems

Push your limits with challenges.

Question 1

Given a system with a known impulse response function h(t) = e^{-t} cos(2t), compute the response x(t) to an external force F(t) = sin(t) for 0 ≤ t ≤ 10.

💡 Hint: Don't forget to break down the convolution process step by step.

Question 2

If a structure responds to an impulse at t=0 with a maximum displacement of 0.5m and then gradually decreases, describe how you would assess its performance using impulse response functions.

💡 Hint: Focus on data collection methods and modeling techniques.

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