16.8.1 - Time Integration Methods
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Practice Questions
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What is the Newmark-beta method used for?
💡 Hint: Think about stability.
Name one benefit of the Wilson-θ method.
💡 Hint: Consider its applicability in dynamic conditions.
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Interactive Quizzes
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Which method is known for unconditional stability?
💡 Hint: Think about stability.
True or False: Runge-Kutta methods are explicitly conditionally stable.
💡 Hint: Consider the definition of stability.
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Challenge Problems
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You are designing a tall building and must decide which time integration method to use for analyzing its response to seismic loads. Discuss your choice between Newmark-beta and Wilson-θ, considering specifics like stability and complexity.
💡 Hint: Assess the significance of stability versus computation speed.
Given that Runge-Kutta methods can lead to high computational costs, present alternative strategies to balance accuracy and computational resource use in large MDOF analysis.
💡 Hint: Think of adjusting methods based on ongoing results.
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