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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define natural frequency.
💡 Hint: Think about vibrations in a structure.
Question 2
Easy
What is a mode shape?
💡 Hint: Consider how structures deform when they vibrate.
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 a natural frequency?
- Frequency applied externally
- Frequency at which a system oscillates naturally
- A forced vibration frequency
💡 Hint: Remember, it relates to the system's behavior without outside influence.
Question 2
Mode shapes are defined as:
- True
- False
💡 Hint: Think of how objects deform when they vibrate.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a three-degree-of-freedom system, derive the mass and stiffness matrices, then compute the natural frequencies and mode shapes.
💡 Hint: Start with the equations from earlier.
Question 2
Analyze a multi-story building structure subjected to seismic load and determine how the mode shapes contribute to the overall response.
💡 Hint: Consider how each mode affects the total response.
Challenge and get performance evaluation