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2 cards from this section. Quick, good the night before a test.
What does it mean for mode shapes to be orthogonal?
Think about how distinct vectors can behave in a space.
Write down the expression for mass orthogonality.
Recall the components of the mass matrix and that it relates to mode shapes.
What does mass orthogonality imply?
Think about how vectors interact geometrically.
True or False: Stiffness orthogonality means that mode shapes can be solved together without difficulty.
Consider how dividing tasks can alleviate complexity.
A structure experiences vibrations with known mode shapes. If you are tasked with computing responses to dynamic loading, how would orthogonality assist you?
Focus on the separability of the equations.
Consider a scenario where a set of mode shapes were not orthogonal. What consequences could arise in terms of computational efficiency?
Think about how overlapping vectors affect problem-solving.
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