Practice Mathematical Modeling - 14.2.1 | 14. Natural Frequencies | Earthquake Engineering - Vol 1
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14.2.1 - Mathematical Modeling

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the mass represent in a mass-spring-damper system?

💡 Hint: Think about what the structure's weight would influence.

Question 2

Easy

What effect does damping have on vibrations?

💡 Hint: Consider how dampers in cars reduce shake during driving.

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 the term 'natural frequency' refer to in an SDOF system?

  • The frequency of an external force
  • The inherent vibrational frequency of a system
  • The sum of stiffness and mass

💡 Hint: Think about how a guitar string vibrates when plucked.

Question 2

True or False: More damping results in higher amplitudes of vibration.

  • True
  • False

💡 Hint: Consider how shocks are absorbed in car suspensions.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A 15 kg mass is attached to a spring with a stiffness of 300 N/m. Calculate the natural frequency of this system and explain its implications for structural design.

💡 Hint: Use the relationship between mass and stiffness to derive frequency.

Question 2

Discuss how you would model a tall building as an SDOF system to evaluate its response to an earthquake. Consider mass, stiffness, damping, and natural frequency in your answer.

💡 Hint: Build from base physical principles to arrive at a complete structural model.

Challenge and get performance evaluation