8.15 - Harmonic Excitation in Multi-Degree-of-Freedom (MDOF) Systems
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Practice Questions
Test your understanding with targeted questions
What are the governing equations for MDOF systems?
💡 Hint: Consider the matrix notation used in dynamic analysis.
Define modal analysis in your own words.
💡 Hint: Think about how we simplify systems for better understanding.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What are the components of the governing equations in MDOF systems?
💡 Hint: These components are related to the properties of the system.
True or False: Modal analysis is used to combine responses of individual modes to understand an entire system's behavior.
💡 Hint: Think about the purpose of breaking down a complex system into simpler parts.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a 5-story building modeled as an MDOF system, describe how you would approach the modal analysis to ensure safety during an earthquake.
💡 Hint: Think about the steps of identifying natural frequencies and how they relate to design choices.
A bridge experiences significant harmonic excitation at certain frequencies. Detail an approach using governing equations and modal analysis to mitigate this issue in its design.
💡 Hint: Consider how the interactions between mass, damping, and stiffness can alter response characteristics.
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