Practice Mathematical Formulation Of Mode Shapes (15.2) - Mode Shapes - Earthquake Engineering

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8 questions

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6 sample questions

Question 1.
What does the mass matrix [M] represent?
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Think about how mass affects motion.
Question 2.
What is a mode shape?
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It often changes during vibrations.
3Question 3.
What does the mass matrix [M] contain?
- Stiffness properties
- Mass distribution
- Deformation data
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Remember what mass contributes to motion.
4Question 4.
True or False: The eigenvalue problem helps engineers calculate the stiffness of a structure.
- True
- False
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Think about what information helps in structure analysis.
Question 5.
Given a simple MDOF system with a mass ratio of 2:1, derive the eigenvalues and mode shapes.
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Think of how mass ratios affect frequency.
Question 6.
Examine a structure with uneven mass distribution and predict how it will affect its mode shapes.
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Consider examples of structures you've learned about.

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