8.15.1 - Governing Equations
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Practice Questions
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Define the term 'Multi-Degree-of-Freedom System'.
💡 Hint: Think about how many ways it can move.
What does the stiffness matrix [K] represent?
💡 Hint: Consider what is restoring the system back to its position.
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Interactive Quizzes
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What is the main purpose of the mass matrix in the governing equations of a MDOF system?
💡 Hint: Think about how mass affects motion.
True or False: The stiffness matrix indicates how much the system resists deformation.
💡 Hint: What happens when you stretch a spring?
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Challenge Problems
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Given a mass matrix [M] of a system and its respective damping and stiffness matrices, compute the steady-state response under harmonic excitation.
💡 Hint: Make sure to consider how the matrices interact with the force vector.
Analyze how varying stiffness in an MDOF system impacts the overall system response. Discuss potential outcomes.
💡 Hint: Think about how a stiffer system would behave differently than a softer one.
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