Practice Forced Vibration due to External Force (Mass Excitation) - 6.4 | 6. Equations of Motion of SDOF System for Mass as well as Base Excitation | Earthquake Engineering - Vol 1
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6.4 - Forced Vibration due to External Force (Mass Excitation)

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the equation of motion for a system subjected to mass excitation?

💡 Hint: What forces are included in the equation?

Question 2

Easy

Define resonance in the context of forced vibrations.

💡 Hint: What happens to the amplitude at this condition?

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 equation of motion for forced vibration include?

  • Only inertia
  • Inertia
  • damping
  • and stiffness
  • Only damping

💡 Hint: Think about contributing forces in a dynamic system.

Question 2

True or False: The steady-state response to harmonic loading is a sinusoidal function.

  • True
  • False

💡 Hint: Recall the form of harmonic loading.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Demonstrate how varying damping affects the steady-state response of an SDOF system under harmonic loading.

💡 Hint: Consider dB levels and response curves.

Question 2

Analyze a system with given parameters: mass = 50 kg, k = 2000 N/m, under harmonic force F(t) = 100 N sin(ωt), ω = 4 rad/s. Determine amplitude and phase shift.

💡 Hint: Use the resonance condition to explore response characteristics.

Challenge and get performance evaluation