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

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

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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