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4 cards from this section. Quick, good the night before a test.
Define Free Vibration in your own words.
Think about what happens after you push a swing.
What does SDOF stand for?
Consider how many coordinates describe its motion.
What is the equation of motion for an SDOF system during free vibration?
Consider what happens in the absence of external forces.
True or False: Natural frequency is independent of the mass and stiffness of the system.
Think about the relationship between mass, stiffness, and oscillation.
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.
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.
Relate the concepts of damping, resonance, and real-world system behavior.
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