Practice Computational Aspects (13.7) - Normal Modes of Vibration - Earthquake Engineering - Vol 1

Practice: Computational Aspects

Lesson 13.7Normal Modes of Vibration

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8 questions

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3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the role of the mass matrix in structural analysis?
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Think about what controls the dynamics of motion.
Question 2.
What is a numerical eigenvalue solver?
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How do we find natural frequencies mathematically?
3Question 3.
Why is matrix algebra important in normal mode analysis?
- A) It simplifies structural formulas.
- B) It allows for complex systems to be modeled.
- C) It eliminates the need for calculations.
- D) It makes the process slower.
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Think about how we represent multiple degrees of freedom.
4Question 4.
True or False: The accuracy of the stiffness matrix does not impact the analysis results.
- True
- False
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Recall how mass and stiffness are related to natural frequencies.
Question 5.
You have a two-degree-of-freedom system with known mass and stiffness values. Calculate the natural frequencies and mode shapes using matrix methods. Provide step-by-step reasoning.
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Use the determinant to simplify your calculations.
Question 6.
Consider a scenario where the mass distribution changes significantly in a structure. Analyze how this may influence the structure's dynamic response and determine what steps could be taken to mitigate adverse effects.
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Think about how the ground vibrations might interact with the building's new dynamics.

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