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 the term 'mode shape' refer to?
💡 Hint: Think about how structures move.
Question 2
Easy
Define orthogonality in terms of vectors.
💡 Hint: Consider how two vectors might not affect each other.
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 orthogonality of mode shapes imply?
- They affect each other's energy
- They do not interfere with each other
- They are identical
💡 Hint: Remember how each mode operates uniquely.
Question 2
Is the following statement true or false? 'Orthogonality helps in simplifying dynamic analysis.'
- True
- False
💡 Hint: Consider the benefits of independent calculations.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
You have two mode shapes with a given mass matrix. Calculate if they are orthogonal, using {ϕ}_1 and {ϕ}_2 with [M] given as a diagonal matrix. What does the result indicate?
💡 Hint: Perform matrix multiplication and check the outcome.
Question 2
Explain how the lack of orthogonality would affect a skyscraper's response to an earthquake and propose a method to address this complication.
💡 Hint: Think about simulation tools used in structural analysis.
Challenge and get performance evaluation