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3 cards from this section. Quick, good the night before a test.
Define free vibration.
Think about motion after a swing is pushed.
What corresponds to each mode shape?
How many frequencies are in a multi-degree system?
What is free vibration?
Think about a system left to move after being disturbed.
Each mode shape in a structure corresponds to:
How many frequencies match up with each individual deformation shape?
Analyze a 4-DOF cantilever beam subjected to an initial disturbance and determine the mode shapes and corresponding natural frequencies.
Consider utilizing numerical methods like Rayleigh-Ritz for complex structures.
In the design of a new building, how would you mitigate the effects of resonance identified from mode shapes? Consider the material properties and structural reinforcement strategies.
Think about how materials can affect vibrations in a structure.
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