Practice Mathematical Modeling of MDOF Systems - 16.3 | 16. Introduction to MDOF Systems | Earthquake Engineering - Vol 2
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16.3 - Mathematical Modeling of MDOF Systems

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is lumped mass idealization?

💡 Hint: Think about how we model forces in a building.

Question 2

Easy

What does the mass matrix [M] represent?

💡 Hint: Focus on the structure's floors and their contribution to mass.

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 mass matrix [M] represent in an MDOF system?

  • Distribution of forces
  • Distribution of mass
  • Velocity of each mass

💡 Hint: Which matrix talks about weights?

Question 2

True or False: The stiffness matrix [K] is a diagonal matrix.

  • True
  • False

💡 Hint: Consider the nature of the structure.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a structure with 4 floors, each with mass 1000 kg, and a stiffness of 10000 N/m for each floor, set up the mass and stiffness matrices.

💡 Hint: Think about how mass and stiffness are distributed.

Question 2

Analyze how damping affects an MDOF system subjected to harmonic loading.

💡 Hint: Recall the significance of energy loss during oscillations.

Challenge and get performance evaluation