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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is natural frequency?
💡 Hint: Think about how a swing oscillates.
Question 2
Easy
Define mode shape.
💡 Hint: Consider how various points of a structure move together.
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 ω² represent in the context of MDOF systems?
- Damping Ratio
- Eigenvalues
- Stiffness
💡 Hint: Think about the vibrations of the system.
Question 2
Mode shapes are orthogonal to mass and stiffness matrices. True or False?
- True
- False
💡 Hint: What does orthogonality imply about two vectors?
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a system with a known mass matrix \(M = [[1, 0], [0, 2]]\) and stiffness matrix \(K = [[10, -5], [-5, 5]]\), compute the eigenvalues and eigenvectors.
💡 Hint: Solve the characteristic equation.
Question 2
Discuss how the eigenvalue analysis of an MDOF system with two degrees of freedom differs from that of a single-degree system.
💡 Hint: Consider the differences in analysis approaches.
Challenge and get performance evaluation