Practice Application to Base Excitation (Earthquake Ground Motion) - 10.5 | 10. Duhamel Integral | Earthquake Engineering - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does base excitation refer to?

💡 Hint: Think about how an earthquake impacts buildings.

Question 2

Easy

What is the general form of the equation of motion for a base-excited SDOF system?

💡 Hint: Recall the dynamics we learned earlier about forces acting on structures.

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Interactive Quizzes

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

Question 1

What does base excitation primarily refer to?

  • Response of a structure to external forces
  • Response of a structure to ground acceleration
  • Static load on a structure

💡 Hint: Relate it back to earthquake effects.

Question 2

True or False: Duhamel's Integral can be used for nonlinear systems.

  • True
  • False

💡 Hint: Think about the assumptions made in earthquake analysis.

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Challenge Problems

Push your limits with challenges.

Question 1

Given a specific ground motion profile, determine the response of a structure with parameters m = 2500 kg, c = 500 N·s/m, and k = 100000 N/m. Use Duhamel's Integral for your calculations.

💡 Hint: Pay attention to defining the impulse response function correctly based on damping.

Question 2

Examine how variations in damping ratios affect the response of the structure during an earthquake. What are the implications if the damping ratio is increased significantly?

💡 Hint: Compare with different damping scenarios and their impacts on structural stability.

Challenge and get performance evaluation