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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the general equation of motion for a damped 2-DOF system?
💡 Hint: Consider what terms we need for damping effects in a dynamic system.
Question 2
Easy
Define Rayleigh damping.
💡 Hint: Think about how damping relates to mass and stiffness.
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 a damped 2-DOF system?
💡 Hint: Remember the prime factors: mass, damping, and stiffness.
Question 2
Is Rayleigh damping proportional to mass?
- True
- False
💡 Hint: Think about how energy dissipation relates to mass in structures.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a damped 2-DOF system with m1 = 500kg, m2 = 300kg, and k1 = 40000N/m, k2 = 20000N/m, k12 = 10000N/m. Calculate the natural frequencies with damping matrix as C = 0.05M + 0.07K.
💡 Hint: Use the relationship between the eigenvalues and the eigenvectors from the modified matrices.
Question 2
In a real-life scenario, how would damping affect the design of a skyscraper? Discuss considerations in the context of earthquake resistance.
💡 Hint: Consider the building's height and flexibility in your answer.
Challenge and get performance evaluation