Practice Mode Shapes And Natural Frequencies (11.3) - Multiple Degree of Freedom (MDOF) System

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9 questions

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6 sample questions

Question 1.
Define natural frequency in your own words.
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Think about how tuning forks resonate.
Question 2.
What are mode shapes?
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Consider how different instruments vibrate.
3Question 3.
What defines the natural frequencies of a system?
- Mass and damping
- Mass and stiffness
- Shape and load
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Consider what properties influence oscillation.
4Question 4.
True or False: Mode shapes can interfere with each other.
- True
- False
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Think about independence in terms of vectors.
Question 5.
Given a two-mass spring system, derive the natural frequencies and mode shapes of the system. Consider both masses and springs in your analysis.
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Make use of the symmetry in the eigenvalue problem.
Question 6.
In a multi-storey building, discuss how mode shapes affect the building's response to seismic activity, providing specific examples.
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Consider how the distribution of mass can modify the force spread during an earthquake.

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