30.6.2 - Vibration Analysis
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Practice Questions
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What do eigenvalues represent in vibration analysis?
💡 Hint: Think about what frequencies matter in design.
What is the role of eigenvectors?
💡 Hint: Consider how a structure deforms during vibrations.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does vibration analysis help to prevent?
💡 Hint: Consider the consequences of unchecked vibrations.
True or False: Eigenvalues indicate how a structure deforms under load.
💡 Hint: Think about what each term specifically relates to.
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Challenge Problems
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A structure is undergoing analysis for dynamic loading. The mass and stiffness matrices have been determined. Derive the characteristic polynomial to find the eigenvalues.
💡 Hint: Focus on the relationship between mass and stiffness.
How might the eigenvalues of a poorly designed bridge affect its performance and safety during an earthquake?
💡 Hint: Think about real-life cases of structural failures due to resonance.
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