Practice Equations of Motion for Undamped MDOF System - 11.2 | 11. Multiple Degree of Freedom (MDOF) System | Earthquake Engineering - Vol 1
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11.2 - Equations of Motion for Undamped MDOF System

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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 the number of independent motions in a system.

Question 2

Easy

What is the primary equation governing undamped MDOF systems?

💡 Hint: This equation shows the relationship between mass, stiffness, and acceleration.

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 MDOF stand for?

  • Single Degree of Freedom
  • Multiple Degrees of Freedom
  • Multiple Dynamic Oscillators

💡 Hint: Consider the definition involving motion descriptions.

Question 2

The mass matrix in an MDOF system is usually:

  • True
  • False

💡 Hint: Reflect on the independence of movement across different degrees of freedom.

Solve 3 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a three-story building as an MDOF system, with each floor having different lumped masses, formulate the equations of motion for the system. Specify the mass and stiffness matrices.

💡 Hint: Remember, the mass matrix for lumped systems is diagonal, while the stiffness matrix will depend on how the springs are distributed.

Question 2

How does the change in one mass in a multi-storey MDOF building affect its overall behavior during seismic activity?

💡 Hint: Think about how balance and distribution of weight impact stability.

Challenge and get performance evaluation