12.1 - Concept of Two Degree of Freedom System
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Practice Questions
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Define a Two Degree of Freedom system.
💡 Hint: Think about how many variables are needed.
What is a common example of a 2-DOF system?
💡 Hint: Consider structures with multiple levels.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a 2-DOF system require for motion description?
💡 Hint: Recall how many factors influence the motion.
True or False: A two-story building is an example of a 2-DOF system.
💡 Hint: Think about how buildings respond to forces.
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Challenge Problems
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Given a 2-DOF system defined by masses m1 = 1500kg, m2 = 2000kg, and stiffness k1 = 30000N/m, k2 = 25000N/m, k12 = 5000N/m. Derive the equations of motion.
💡 Hint: Recall how to express dynamics through mass and stiffness matrices.
A 2-DOF system has two natural frequencies of 5Hz and 7Hz. What will be the effect on resonance if the system is excited near these frequencies?
💡 Hint: Think about how objects resonate and the importance of matching frequencies.
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