Practice Forced Vibration of SDOF Systems - 1.5 | 1. Theory of Vibrations | Earthquake Engineering - Vol 1
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Knowledge

1.5 - Forced 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 forced vibration in the context of SDOF systems.

💡 Hint: Think about what causes the vibrations in terms of external stimuli.

Question 2

Easy

What is the transient response?

💡 Hint: Consider how the system behaves immediately versus later.

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 occurs during forced vibration?

  • Only due to initial disturbance
  • Due to continuous external force
  • Only in free conditions

💡 Hint: Consider the definition difference between free and forced vibrations.

Question 2

True or False: Steady-state response only occurs in the absence of damping.

  • True
  • False

💡 Hint: Remember, all systems experience steady behaviors with continuous forces.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Calculate the steady-state amplitude for a SDOF system with mass = 5 kg, stiffness = 500 N/m and damping = 40 Ns/m given an external force F_0 = 200 N at frequency ω = 5 rad/s.

💡 Hint: Break down the formula into components step by step.

Question 2

Discuss the implication of resonance in seismic design. Why is ensuring that natural frequencies are distinct from seismic excitation frequencies crucial?

💡 Hint: Reflect on the consequences of structural overload during actual seismic events.

Challenge and get performance evaluation