Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
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
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.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does MDOF stand for?
💡 Hint: Consider how it relates to the dimensions of motion.
Question 2
Easy
Define the mass matrix in the context of MDOF systems.
💡 Hint: It's related to how much mass affects motion.
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 primary equation governing MDOF systems?
- [M]{ẍ} + [C]{x˙} + [K]{x} = {F(t)}
- [K]{x} + [M]{x} = 0
- [C]{x} = {F(t)}
💡 Hint: Look for the equation combining all key system properties.
Question 2
True or False: Mode shapes represent how a system vibrates at its natural frequencies.
- True
- False
💡 Hint: Think about what happens during free vibrations.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A three-story building is modeled as a 3-DOF system. Given the mass matrix [M] as diag(2000, 1500, 1000) kg and the stiffness matrix [K] as diag(5000, 4000, 3000) N/m, determine the estimation of natural frequencies.
💡 Hint: Remember to formulate the matrix to solve for characteristic polynomial.
Question 2
Analyze the impact of increasing damping in an MDOF system on its mode shapes and natural frequencies. What criteria will you consider?
💡 Hint: Consider how damping affects dynamic stability and frequency response.
Challenge and get performance evaluation