Practice Role Of Initial Conditions In Sdof Response (6.14) - Equations of Motion of SDOF System for Mass as well as Base Excitation

Practice: Role of Initial Conditions in SDOF Response

Lesson 6.14Equations of Motion of SDOF System for Mass as well as Base Excitation

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9 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What are the two main components of initial conditions?
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Think about what defines the starting point of motion.
Question 2.
Define homogeneous response in your own words.
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Focus on free motion versus forced motion.
3Question 3.
What is the role of initial conditions in SDOF response?
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Consider how motion begins and evolves.
4Question 4.
True or False: Initial conditions can always be assumed to be zero in earthquake engineering.
- True
- False
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Reflect on aftershocks and their impact.
Question 5.
An SDOF system has a mass of 10 kg, a stiffness of 2000 N/m, and initial displacement of 0.1 m with a velocity of 2 m/s. Derive the equations governing this system's motion over time.
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Use differential equations to represent the motion and apply initial conditions directly.
Question 6.
Verify how the response of an SDOF system will differ with zero initial conditions versus specific initial conditions during an earthquake simulation.
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Pay attention to how momentary differences can lead to larger oscillations.

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