18.3.1 - Modal Decomposition
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Practice Questions
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What does modal decomposition allow us to represent in structural analysis?
💡 Hint: Think about how different modes contribute together.
Define orthogonality in the context of mode shapes.
💡 Hint: Consider how two perpendicular lines do not influence each other.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does modal decomposition allow us to analyze?
💡 Hint: Focus on the term 'dynamic response'.
True or False: Orthogonality of modes is not necessary for effective modal decomposition.
💡 Hint: Think about independent contributions.
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Challenge Problems
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Consider a 5-story building modeled as an MDOF system. Describe how you would approach modal decomposition to analyze its seismic response, focusing on the number of modes to consider.
💡 Hint: Think about how the height of the building affects the number of modes considered.
Suppose you have a structure where higher modes significantly contribute to the response. Discuss the implications of truncating these higher modes during modal analysis.
💡 Hint: Consider the balance between computational efficiency and analysis accuracy.
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