1.3 - Free Vibration of SDOF Systems
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Practice Questions
Test your understanding with targeted questions
Define Free Vibration in your own words.
💡 Hint: Think about what happens after you push a swing.
What does SDOF stand for?
💡 Hint: Consider how many coordinates describe its motion.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the equation of motion for an SDOF system during free vibration?
💡 Hint: Consider what happens in the absence of external forces.
True or False: Natural frequency is independent of the mass and stiffness of the system.
💡 Hint: Think about the relationship between mass, stiffness, and oscillation.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Design a simple SDOF system with a mass of 5 kg and a spring constant of 250 N/m. Calculate the natural frequency and discuss the implications of resonance in structure design.
💡 Hint: Use the formula for natural frequency and relate it to design principles.
A system is undergoing forced harmonic excitation with a frequency that is slightly different from its natural frequency. Describe the behavior observed and how damping can influence this behavior.
💡 Hint: Relate the concepts of damping, resonance, and real-world system behavior.
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