10.9 - Extension to 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 systems with multiple movements.
What is the role of modal analysis?
💡 Hint: It helps divide the system into manageable parts.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does MDOF stand for?
💡 Hint: Focus on systems with multiple degrees of independence.
True or False: Duhamel's integral can only be applied to SDOF systems.
💡 Hint: Consider how we analyze complex systems.
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Challenge Problems
Push your limits with advanced challenges
A multi-story building has three degrees of freedom. If each floor vibrates with different mode shapes, how would you compute the displacement at the top floor during an earthquake?
💡 Hint: Think about how each floor’s motion impacts the levels above.
Explain how you would numerically evaluate the modal coordinates for an MDOF system subject to seismic loading using Duhamel's integral.
💡 Hint: Consider what tools help in calculating those responses over time.
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