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2 cards from this section. Quick, good the night before a test.
What is the Rayleigh quotient?
Think about how stiffness and mass relate to frequency.
What is the purpose of a trial shape function in Rayleigh's method?
Consider how we analyze static scenarios.
What does the Rayleigh quotient help estimate?
Focus on the purpose of frequency estimation.
True or False: The Rayleigh method requires complex numerical calculations.
Consider the characteristics of computational solutions.
A cantilever beam is deflected under its own weight. Use Rayleigh's method to estimate its fundamental frequency with given values for the stiffness and mass.
Remember the equations for a cantilever beam's bending.
Compare the results obtained from Rayleigh's method with a finite element analysis for the same structure. Discuss the possible discrepancies.
Consider the assumptions made in both methods.
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