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4 cards from this section. Quick, good the night before a test.
What does the mass matrix [M] represent?
Think about how weight is distributed across the building.
What is the purpose of solving the eigenvalue problem?
Recall how these relate to vibration.
What does the mass matrix [M] indicate?
Think about the building's weight.
True or False: The eigenvalue problem must be solved to find mode shapes.
Remember the connection between modes and eigenvalues.
Given a 4-storey building with evenly distributed masses of 1500 kg each and a stiffness of 100 kN/m per storey, calculate the mass and stiffness matrices.
Consider each storey as a separate mass-spring system.
In a practical seismic analysis, how would you use modal superposition to evaluate the total displacement of your structure under a given input ground motion?
How does each mode respond to the initial ground motion?
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