Practice Examples and Case Studies - 13.8 | 13. Normal Modes of Vibration | Earthquake Engineering - Vol 1
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13.8 - Examples and Case Studies

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What defines a two-degree-of-freedom system?

💡 Hint: Think of how many ways it can move.

Question 2

Easy

What are participation factors?

💡 Hint: They help understand the importance of modes in vibration.

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 significance of natural frequencies in a system?

  • They determine the stiffness
  • They represent the system's preferred oscillation frequency
  • They are irrelevant to dynamic analysis

💡 Hint: Consider the frequency at which the system will vibrate the most efficiently.

Question 2

True or False: In a two-degree-of-freedom system, both modes can oscillate independently.

  • True
  • False

💡 Hint: Remember the definition of two degrees of freedom.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A two-degree-of-freedom system has a mass matrix M = [[2, 0], [0, 3]] and a stiffness matrix K = [[6, -2], [-2, 5]]. Calculate the natural frequencies.

💡 Hint: Use the determinant to create your characteristic equation.

Question 2

For a three-storey shear building, explain how you would determine which modes are significant for seismic analysis and how you would approach the modal validation.

💡 Hint: Look at how much each mode contributes to the overall movement.

Challenge and get performance evaluation