6.3 - Free Vibration of Damped SDOF System
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Practice Questions
Test your understanding with targeted questions
What is the governing equation of motion for a damped SDOF system?
💡 Hint: Think about the forces acting on the mass.
Define the damping ratio.
💡 Hint: It’s a ratio that relates damping to mass and stiffness.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What type of damping occurs when ζ < 1?
💡 Hint: Remember the range of the damping ratio.
True or False: A critically damped system oscillates.
💡 Hint: Think about the speed of equilibrium.
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Challenge Problems
Push your limits with advanced challenges
Design a damped SDOF system for a building with a mass of 5000 kg, and a stiffness of 200000 N/m that experiences a damping ratio of 0.05. Calculate the necessary damping coefficient.
💡 Hint: You have the required mass and stiffness values, ensure you correctly apply the formula.
Explain how the characteristics of the earthquake ground motion could influence the damping response of a structure.
💡 Hint: Consider how different earthquakes have varying characteristics.
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