Practice Modal Analysis Technique - 13.5 | 13. Normal Modes of Vibration | Earthquake Engineering - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What are modal coordinates?

💡 Hint: Think about how we express displacements for simplification.

Question 2

Easy

What type of equations does modal analysis create?

💡 Hint: Remember the term 'SDOF' for simplification.

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 does the modal analysis technique primarily aim to do?

  • Decouple equations
  • Increase complexity
  • Enhance damping
  • None of the above

💡 Hint: Consider the purpose of the technique.

Question 2

True or False: Modal coordinates express the motion of a system in terms of mode shapes.

  • True
  • False

💡 Hint: Recall the terms we learned.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A three-degree-of-freedom spring-mass system is defined with stiffness and mass matrices. derive the modal equations for this system and explain each transformation step.

💡 Hint: Identify your main variables and remember to express displacements correctly.

Question 2

Calculate the modal response of a building subjected to an earthquake. You are given the natural frequencies and mode shapes. Detail your approach and assumed inputs.

💡 Hint: Remember to factor in the input forces discretely for each mode.

Challenge and get performance evaluation