13.5 - Modal Analysis Technique
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Practice Questions
Test your understanding with targeted questions
What are modal coordinates?
💡 Hint: Think about how we express displacements for simplification.
What type of equations does modal analysis create?
💡 Hint: Remember the term 'SDOF' for simplification.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the modal analysis technique primarily aim to do?
💡 Hint: Consider the purpose of the technique.
True or False: Modal coordinates express the motion of a system in terms of mode shapes.
💡 Hint: Recall the terms we learned.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A three-degree-of-freedom spring-mass system is defined with stiffness and mass matrices. derive the modal equations for this system and explain each transformation step.
💡 Hint: Identify your main variables and remember to express displacements correctly.
Calculate the modal response of a building subjected to an earthquake. You are given the natural frequencies and mode shapes. Detail your approach and assumed inputs.
💡 Hint: Remember to factor in the input forces discretely for each mode.
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