Practice Importance Of Natural Frequency And Mode Shapes (4.10.2) - Difference Between Static Forces and Dynamic Excitation

Practice: Importance of Natural Frequency and Mode Shapes

Lesson 4.10.2Difference Between Static Forces and Dynamic Excitation

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10 questions

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6 sample questions

Question 1.
What is natural frequency?
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Think about the inherent vibrations of a structure.
Question 2.
What occurs when a structure's natural frequency matches an external frequency?
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Consider what happens to a swing when pushed at the right time.
3Question 3.
What is resonance?
- A type of amplitude
- When frequencies match
- Structural failure
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Consider a swing being pushed periodically.
4Question 4.
True or False: Mode shapes are irrelevant to the design of tall buildings.
- True
- False
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Think about how different building heights affect vibrations.
Question 5.
A rectangular beam is fixed at both ends. If its dimensions are 4m long, with a width of 0.1m and a height of 0.2m, calculate its first natural frequency knowing the Young's Modulus is 200 GPa.
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Refer to relevant beam theory formulas to find your answer.
Question 6.
A tall building's first natural frequency is found to be 1 Hz. If an earthquake generates a frequency of 1 Hz, explain the potential consequences and solutions engineers could consider.
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Think about ways to alter the relationship between the building and the frequency.

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