13.2 - Concept of Mode Shapes and Natural Frequencies
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Practice Questions
Test your understanding with targeted questions
Define natural frequency.
💡 Hint: Think about vibrations in a structure.
What is a mode shape?
💡 Hint: Consider how structures deform when they vibrate.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a natural frequency?
💡 Hint: Remember, it relates to the system's behavior without outside influence.
Mode shapes are defined as:
💡 Hint: Think of how objects deform when they vibrate.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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