Practice Response of Multi-Degree-of-Freedom (MDOF) Systems - 32.4 | 32. Response of Structures to Earthquake | Earthquake Engineering - Vol 3
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32.4 - Response of Multi-Degree-of-Freedom (MDOF) Systems

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does MDOF stand for?

💡 Hint: Think about degrees of freedom in structural movement.

Question 2

Easy

What is the purpose of the mode shapes in MDOF analysis?

💡 Hint: Consider how structures behave under different types of loads.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

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

Question 1

What is the equation of motion for MDOF systems?

💡 Hint: Remember the matrices involved in structural dynamics.

Question 2

True or False: The mode shapes in MDOF systems are usually affected by each other.

  • True
  • False

💡 Hint: Think about why we want independent behaviors in dynamics.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a three-story frame structure with known mass and stiffness, derive the equation of motion for the MDOF system.

💡 Hint: Focus on how each part contributes to the entire system.

Question 2

Using the matrix method, explain how you would calculate the mode shapes for a given MDOF system.

💡 Hint: Recall the relationship between eigenvalues, eigenvectors, and physical motion described in modal analysis.

Challenge and get performance evaluation