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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define free vibration.
💡 Hint: Think about motion after a swing is pushed.
Question 2
Easy
What corresponds to each mode shape?
💡 Hint: How many frequencies are in a multi-degree system?
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is free vibration?
- True
- False
💡 Hint: Think about a system left to move after being disturbed.
Question 2
Each mode shape in a structure corresponds to:
- One natural frequency
- Several natural frequencies
- No frequencies
💡 Hint: How many frequencies match up with each individual deformation shape?
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Analyze a 4-DOF cantilever beam subjected to an initial disturbance and determine the mode shapes and corresponding natural frequencies.
💡 Hint: Consider utilizing numerical methods like Rayleigh-Ritz for complex structures.
Question 2
In the design of a new building, how would you mitigate the effects of resonance identified from mode shapes?
Consider the material properties and structural reinforcement strategies.
💡 Hint: Think about how materials can affect vibrations in a structure.
Challenge and get performance evaluation