Practice Free Vibration of Damped SDOF System - 6.3 | 6. Equations of Motion of SDOF System for Mass as well as Base Excitation | Earthquake Engineering - Vol 1
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6.3 - Free Vibration of Damped SDOF System

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the governing equation of motion for a damped SDOF system?

💡 Hint: Think about the forces acting on the mass.

Question 2

Easy

Define the damping ratio.

💡 Hint: It’s a ratio that relates damping to mass and stiffness.

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 type of damping occurs when ζ < 1?

  • Critically damped
  • Underdamped
  • Overdamped

💡 Hint: Remember the range of the damping ratio.

Question 2

True or False: A critically damped system oscillates.

  • True
  • False

💡 Hint: Think about the speed of equilibrium.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design a damped SDOF system for a building with a mass of 5000 kg, and a stiffness of 200000 N/m that experiences a damping ratio of 0.05. Calculate the necessary damping coefficient.

💡 Hint: You have the required mass and stiffness values, ensure you correctly apply the formula.

Question 2

Explain how the characteristics of the earthquake ground motion could influence the damping response of a structure.

💡 Hint: Consider how different earthquakes have varying characteristics.

Challenge and get performance evaluation