Practice Equations of Motion for MDOF Systems - 17.1 | 17. Decoupling of Equations of Motion | Earthquake Engineering - Vol 2
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Typing
Memory
Math
English Adventures
Knowledge

17.1 - Equations of Motion for MDOF Systems

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define the mass matrix [M] in the context of MDOF systems.

💡 Hint: Think about how mass affects acceleration in Newton's second law.

Question 2

Easy

What is the general form of the equations of motion for MDOF systems?

💡 Hint: Remember the matrices and their roles in the equations.

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 MDOF systems?

  • Mass distribution
  • Damping characteristics
  • Stiffness properties

💡 Hint: Focus on how mass influences motion.

Question 2

True or False: The equations of motion for an MDOF system can be solved directly without any transformation.

  • True
  • False

💡 Hint: Think about the complexity of multiple equations working together.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a two-story building modeled as an MDOF system, compute the mass, damping, and stiffness matrices. Then indicate how you would use modal transformation for your calculations.

💡 Hint: Start by clearly defining the mass and stiffness parameters for each floor.

Question 2

Discuss the implications of non-orthogonal modes in a practical engineering scenario. What effects might this have on analysis?

💡 Hint: Consider what happens when modes interfere with one another.

Challenge and get performance evaluation