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2 cards from this section. Quick, good the night before a test.
Define the term 'eigenvalue' in the context of structural dynamics.
Think about how this relates to how structures vibrate.
What does the stiffness matrix represent?
Focus on the mechanical properties of materials.
What does the matrix equation [K - ω²M]ϕ = 0 represent?
Consider the type of analysis we are discussing.
True or False: Eigenvectors provide information about how a structure vibrates at a specific frequency.
Think about how structures respond dynamically.
Given a simple two-degree of freedom mass-spring system, derive the eigenvalue equation and find the natural frequencies if the stiffness matrix is K and mass matrix is M.
Consider the dimensional consistency of the derived matrices during transformation.
Analyze a case where a structure experiences resonance due to a specific external forcing frequency. What mitigation strategies could be employed using eigenvalue analysis?
Think about how to avoid matching frequencies.
4 more questions in this section. Enroll free to practise them all.
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