32.4 - Response of Multi-Degree-of-Freedom (MDOF) Systems
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Practice Questions
Test your understanding with targeted questions
What does MDOF stand for?
💡 Hint: Think about degrees of freedom in structural movement.
What is the purpose of the mode shapes in MDOF analysis?
💡 Hint: Consider how structures behave under different types of loads.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the equation of motion for MDOF systems?
💡 Hint: Remember the matrices involved in structural dynamics.
True or False: The mode shapes in MDOF systems are usually affected by each other.
💡 Hint: Think about why we want independent behaviors in dynamics.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a three-story frame structure with known mass and stiffness, derive the equation of motion for the MDOF system.
💡 Hint: Focus on how each part contributes to the entire system.
Using the matrix method, explain how you would calculate the mode shapes for a given MDOF system.
💡 Hint: Recall the relationship between eigenvalues, eigenvectors, and physical motion described in modal analysis.
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