Practice Equations of Motion of SDOF System for Mass as well as Base Excitation - 6 | 6. Equations of Motion of SDOF System for Mass as well as Base Excitation | Earthquake Engineering - Vol 1
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6 - Equations of Motion of SDOF System for Mass as well as Base Excitation

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the basic equation for an undamped SDOF system?

💡 Hint: Think about Newton's laws applied to harmonic motion.

Question 2

Easy

What does damping do to an oscillating system?

💡 Hint: Remember how damping affects energy loss.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What are the components of a Single Degree of Freedom system?

  • Mass
  • Spring
  • Damper
  • Beam
  • Column
  • Connection
  • Load
  • Reaction
  • Support

💡 Hint: Think back to the components we discussed.

Question 2

True or False: Base excitation occurs when external forces are applied directly to the mass.

  • True
  • False

💡 Hint: Recall the definition of base excitation.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a building modeled as an SDOF system during an earthquake that experiences both base and mass excitation. Discuss how you would approach analyzing the combined influences on its motion.

💡 Hint: Think about how you would model simultaneous forces acting on the structure.

Question 2

Assuming an SDOF structure has a damping ratio of 0.3, what implications does this have on its seismic performance and how would you design accordingly?

💡 Hint: Reflect on how different damping characteristics interact with seismic events.

Challenge and get performance evaluation