16.3 - Mathematical Modeling of MDOF Systems
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Practice Questions
Test your understanding with targeted questions
What is lumped mass idealization?
💡 Hint: Think about how we model forces in a building.
What does the mass matrix [M] represent?
💡 Hint: Focus on the structure's floors and their contribution to mass.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the mass matrix [M] represent in an MDOF system?
💡 Hint: Which matrix talks about weights?
True or False: The stiffness matrix [K] is a diagonal matrix.
💡 Hint: Consider the nature of the structure.
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Challenge Problems
Push your limits with advanced challenges
Given a structure with 4 floors, each with mass 1000 kg, and a stiffness of 10000 N/m for each floor, set up the mass and stiffness matrices.
💡 Hint: Think about how mass and stiffness are distributed.
Analyze how damping affects an MDOF system subjected to harmonic loading.
💡 Hint: Recall the significance of energy loss during oscillations.
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