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2 cards from this section. Quick, good the night before a test.
What is the standard form of the two-dimensional wave equation?
What do the symbols represent in this equation?
Define boundary conditions in your own words.
Think about fixed membranes.
What equation governs the displacement of a rectangular membrane?
Recall the equation discussed.
True or False: The boundary conditions for a fixed boundary membrane allow the edges to move freely.
Think about what 'fixed' implies.
Given the dimensions of a membrane and an external force applied, derive the modified wave equation and discuss the effect of boundary conditions.
Think beyond the boundaries to how forces interact dynamically.
Research and present a case study where Fourier series modeling prevented structural failure in a civil engineering project.
Look for examples in bridges or tall buildings.
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