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2 cards from this section. Quick, good the night before a test.
What is a natural frequency?
Think about the default rhythm of a system.
Define mode shape.
Consider it as how different parts of a system move together.
What is the eigenvalue problem formed from the motion equation?
Look for the determinant condition.
Natural frequencies directly relate to which concept?
Think about how vibrations are influenced.
Consider a 2-DOF system defined with masses M1 and M2, find the natural frequencies if the stiffness matrix is given as K = [[30000, -10000], [-10000, 30000]].
Start by calculating the determinant for potential ω values.
Discuss how changing the stiffness of one mass affects the mode shapes of this 2-DOF system.
Consider how frequency shifts impact vibration patterns.
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