Practice Concept Of Mode Shapes And Natural Frequencies (13.2)

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6 sample questions

Question 1.
Define natural frequency.
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Think about vibrations in a structure.
Question 2.
What is a mode shape?
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Consider how structures deform when they vibrate.
3Question 3.
What is a natural frequency?
- Frequency applied externally
- Frequency at which a system oscillates naturally
- A forced vibration frequency
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Remember, it relates to the system's behavior without outside influence.
4Question 4.
Mode shapes are defined as:
- True
- False
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Think of how objects deform when they vibrate.
Question 5.
Given a three-degree-of-freedom system, derive the mass and stiffness matrices, then compute the natural frequencies and mode shapes.
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Start with the equations from earlier.
Question 6.
Analyze a multi-story building structure subjected to seismic load and determine how the mode shapes contribute to the overall response.
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Consider how each mode affects the total response.

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