12.9 - Numerical Example
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Practice Questions
Test your understanding with targeted questions
What are the stiffness values for the springs in our 2-DOF system?
💡 Hint: Think about the spring constants given in the example.
How many masses are there in the 2-DOF system?
💡 Hint: Refer to the mass details outlined in the example.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary role of the mass matrix (M) in a 2-DOF system?
💡 Hint: Think about what the mass matrix primarily establishes in a dynamic system.
True or False: The mode shapes are always orthogonal in a 2-DOF system.
💡 Hint: Recall the properties of mode shapes regarding their relationships.
1 more question available
Challenge Problems
Push your limits with advanced challenges
In a given 2-DOF system, the masses are doubled while stiffness remains constant. How does this affect the natural frequencies? Explain the relationship.
💡 Hint: Refer to the frequency formula involving mass and stiffness.
Consider a scenario where the coupling stiffness k12 is significantly increased. Describe the expected effects on the mode shapes and frequencies.
💡 Hint: Think about how stronger connections impact vibration dynamics.
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