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2 cards from this section. Quick, good the night before a test.
What is a numerical method?
Think about why approximations are needed in solving mechanical problems.
Name one time-stepping method.
Recall the discussion on why methods are needed for analyzing seismic responses.
What is the Newmark-beta method primarily used for?
Consider what type of forces influence structures over time.
True or False: The Runge-Kutta method is less accurate than the Wilson-θ method.
Think about why accuracy is crucial in dynamic structural analysis.
Create a detailed three-step analysis using the Newmark-beta method for a building subjected to a defined ground acceleration. Outline your steps and calculations.
Review your understanding of how to build the dynamic equation.
Using the Runge-Kutta method, simulate the response of a two-degree-of-freedom system under sinusoidal motion. Specify initial conditions and analyze displacement responses.
Consider how sinusoidal inputs will affect the motion through the time-stepping process.
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