Practice Forced Vibration And Modal Analysis (12.5) - Two Degree of Freedom System

Practice: Forced Vibration and Modal Analysis

Lesson 12.5Two Degree of Freedom System

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8 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define forced vibration in your own words.
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Think about systems responding to external conditions.
Question 2.
What do the terms M and K represent in the forced vibration equation?
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Consider the definitions of mass and stiffness.
3Question 3.
What does the equation Mx¨ + Kx = F(t) represent?
- Static analysis
- Free vibration
- Forced vibration
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Focus on the definitions of vibration.
4Question 4.
True or False: Modal analysis allows for the consideration of all modes simultaneously.
- True
- False
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Think about the term 'uncoupled'.
Question 5.
Consider a 2-DOF system subjected to a harmonic force F(t) = F0sin(ωt). Derive the equations governing this system in terms of modal coordinates.
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Identify the node's natural frequencies along with the force frequency.
Question 6.
Analyze the impact of increasing the coupling stiffness in the forced vibration of a two-story building modeled as a 2-DOF system.
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Predict changes using your knowledge of stiffness relationships.

4 more questions in this section. Enroll free to practise them all.