Practice Free Vibration of SDOF Systems - 1.3 | 1. Theory of Vibrations | Earthquake Engineering - Vol 1
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Knowledge

1.3 - Free Vibration of SDOF Systems

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define Free Vibration in your own words.

💡 Hint: Think about what happens after you push a swing.

Question 2

Easy

What does SDOF stand for?

💡 Hint: Consider how many coordinates describe its motion.

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 is the equation of motion for an SDOF system during free vibration?

  • mx¨ + kx = 0
  • mx¨ + cx˙ + kx = 0
  • mx¨ = F

💡 Hint: Consider what happens in the absence of external forces.

Question 2

True or False: Natural frequency is independent of the mass and stiffness of the system.

  • True
  • False

💡 Hint: Think about the relationship between mass, stiffness, and oscillation.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design a simple SDOF system with a mass of 5 kg and a spring constant of 250 N/m. Calculate the natural frequency and discuss the implications of resonance in structure design.

💡 Hint: Use the formula for natural frequency and relate it to design principles.

Question 2

A system is undergoing forced harmonic excitation with a frequency that is slightly different from its natural frequency. Describe the behavior observed and how damping can influence this behavior.

💡 Hint: Relate the concepts of damping, resonance, and real-world system behavior.

Challenge and get performance evaluation