15.3 - Properties of Mode Shapes
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Practice Questions
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What does orthogonality in mode shapes indicate?
💡 Hint: Think about how angles relate to each other.
Name one reason for normalizing mode shapes.
💡 Hint: How can we measure contributions fairly?
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the orthogonality condition for mode shapes with respect to the mass matrix?
💡 Hint: Think about how interactions could complicate motion.
True or False: Normalization makes mode shapes unique in magnitude.
💡 Hint: Consider if different modes could still exist in varying sizes.
1 more question available
Challenge Problems
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A three-story shear building shows interference between the first two mode shapes during an earthquake simulation. Discuss the potential implications and propose adjustments.
💡 Hint: Reflect on the significance of independent modes.
Consider a structure with two normalized mode shapes. If one mode shape contributes significantly more than the other during an analysis, how would you interpret this in terms of design?
💡 Hint: Think about how mode shapes influence stress on materials.
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