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2 cards from this section. Quick, good the night before a test.
What is the purpose of numerical methods in evaluating Duhamel's Integral?
Think about the nature of dynamic loads like those from earthquakes.
Name one numerical technique used for evaluating integrals.
Consider how you could approximate areas under a curve.
What is the primary reason for using numerical methods in evaluating Duhamel's Integral?
Think about how real-world data impacts calculations.
True or False: Simpson's Rule is less accurate than the Trapezoidal Rule in estimating areas under a curve.
Consider the shapes used in both rules when forming your answer.
Given a sample digital ground motion signal, evaluate the displacement response using Newmark's method. Outline your calculation steps.
Remember to consider how each time step contributes cumulatively.
You have been provided with ground motion data before an earthquake event; compute the integral using Simpson's Rule to find how far a building will sway.
Reflect on how intervals affect your approximation!
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