Practice Logarithmic Decrement (δ) - 7.13 | 7. Free Vibration of Single Degree of Freedom (SDOF) System | Earthquake Engineering - Vol 1
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Knowledge

7.13 - Logarithmic Decrement (δ)

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define logarithmic decrement.

💡 Hint: Think about how you can quantify a decrease in something.

Question 2

Easy

What does 'damping' refer to in a mechanical context?

💡 Hint: It's related to how systems lose energy during vibrations.

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 does logarithmic decrement measure?

  • The frequency of vibration
  • Rate of amplitude decay
  • Initial velocity

💡 Hint: Think about what happens to the amplitude over multiple cycles.

Question 2

True or False: Larger values of logarithmic decrement indicate more damping in a system.

  • True
  • False

💡 Hint: Consider how you would describe a damped vibration's behavior.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You are testing a structure subjected to dynamic forces. In the first cycle, the amplitude is measured at 12 units, and in the fifth cycle, it is measured at 2 units. Calculate the logarithmic decrement and discuss how this informs the structural integrity of the system.

💡 Hint: Ensure you recognize that n = 4 due to the fifth cycle.

Question 2

A mechanical system features oscillation with an observed decay of amplitude from 20 to 5 over 6 cycles. Calculate the logarithmic decrement and analyze what this indicates about the system's damping capacity.

💡 Hint: Consider the implications of magnitude when relating to resonance.

Challenge and get performance evaluation