1.5 - Forced Vibration of SDOF Systems
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Practice Questions
Test your understanding with targeted questions
Define forced vibration in the context of SDOF systems.
💡 Hint: Think about what causes the vibrations in terms of external stimuli.
What is the transient response?
💡 Hint: Consider how the system behaves immediately versus later.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What occurs during forced vibration?
💡 Hint: Consider the definition difference between free and forced vibrations.
True or False: Steady-state response only occurs in the absence of damping.
💡 Hint: Remember, all systems experience steady behaviors with continuous forces.
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Challenge Problems
Push your limits with advanced challenges
Calculate the steady-state amplitude for a SDOF system with mass = 5 kg, stiffness = 500 N/m and damping = 40 Ns/m given an external force F_0 = 200 N at frequency ω = 5 rad/s.
💡 Hint: Break down the formula into components step by step.
Discuss the implication of resonance in seismic design. Why is ensuring that natural frequencies are distinct from seismic excitation frequencies crucial?
💡 Hint: Reflect on the consequences of structural overload during actual seismic events.
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