13.3 - Free Vibration Analysis of MDOF Systems
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Practice Questions
Test your understanding with targeted questions
What are the two main assumptions in free vibration analysis of MDOF systems?
💡 Hint: Think about what characteristics simplify the analysis.
Express the assumed solution for free vibrations mathematically.
💡 Hint: What form describes oscillation over time?
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the first assumption in free vibration analysis?
💡 Hint: Consider what enables the analysis of natural motion.
True or False: Mode shapes correspond to natural frequencies.
💡 Hint: Think about how they are linked in analysis.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a system with specific mass and stiffness matrices, derive the characteristic equation and solve for ω².
💡 Hint: What mathematical operation will you use to determine the roots of your characteristic equation?
Discuss the implications of ignoring damping in real-world systems. How might this affect your vibrational analysis?
💡 Hint: Think about how real structures behave during events.
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