8.2 - Steady-State Response of Undamped SDOF Systems
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Practice Questions
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Define the term 'amplitude' in the context of harmonic vibration systems.
💡 Hint: Think about the peak value of a wave.
What does r represent in the formula for amplitude?
💡 Hint: It's the ratio between the forcing frequency and natural frequency.
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Interactive Quizzes
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What is the condition called when the forcing frequency equals the natural frequency?
💡 Hint: Consider situations where structures vibrate at their own frequency.
True or False: The amplitude of an undamped SDOF system increases indefinitely at resonance.
💡 Hint: Think about the effects of constant energy input at a matching frequency.
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Challenge Problems
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An undamped SDOF system has a natural frequency of 5 Hz. Calculate its amplitude when subjected to a harmonic force with an amplitude of 10 N and a forcing frequency of 5 Hz.
💡 Hint: Evaluate what happens when forcing and natural frequencies match.
Discuss the design strategies that can mitigate resonance effects in real-world applications.
💡 Hint: Consider environmental impacts such as machinery frequency or seismic activity.
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