18.3.3 - Uncoupling of Equations
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Practice Questions
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What is modal decomposition?
💡 Hint: Think about how we represent the total vibrations.
What does it mean for modes to be orthogonal?
💡 Hint: How do modes behave in terms of affecting each other?
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Interactive Quizzes
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What does modal decomposition involve in structural analysis?
💡 Hint: Think about what we do with the total displacement.
True or False: Orthogonality ensures that mode shapes can interfere with each other during vibration.
💡 Hint: Remember what orthogonality signifies.
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Challenge Problems
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Given a multi-degree-of-freedom structure with natural frequencies at 5 Hz, 10 Hz, and 15 Hz, how would close frequencies complicate modal analysis?
💡 Hint: Think about the importance of accurately resolving modes.
A structure has been modeled using modal analysis but only the first two modes were considered. Discuss the consequences.
💡 Hint: What might be the engineering implications of ignoring higher modes?
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