11.7 - Equations of Motion for Damped MDOF Systems
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Practice Questions
Test your understanding with targeted questions
What is the equation for a damped MDOF system?
💡 Hint: Recall the components involved in the equation.
Define the modal damping ratio.
💡 Hint: Consider what quantifies the decay of oscillations.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the damping matrix [C] represent?
💡 Hint: Think about what effects damping has on motion.
True or False: The equations of motion for damped MDOF systems can be similar to those for damped SDOF systems.
💡 Hint: Remember the form of the differential equations.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Draft the equation of motion for a damped 3-DOF system with given mass [M] and stiffness [K] matrices, assuming classical damping is present.
💡 Hint: Break down your problem: initiate with defining [C] using [M] and [K].
Calculate the modal damping ratios for a system defined by its natural frequency of 2 Hz and a given damping coefficient.
💡 Hint: Identify your variables for mass and stiffness within the problem.
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