Practice Equations Of Motion For Damped Mdof Systems (11.7) - Multiple Degree of Freedom (MDOF) System

Practice: Equations of Motion for Damped MDOF Systems

Lesson 11.7Multiple Degree of Freedom (MDOF) System

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9 questions

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6 sample questions

Question 1.
What is the equation for a damped MDOF system?
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Recall the components involved in the equation.
Question 2.
Define the modal damping ratio.
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Consider what quantifies the decay of oscillations.
3Question 3.
What does the damping matrix [C] represent?
- Energy dissipation
- Structural mass
- External forces
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Think about what effects damping has on motion.
4Question 4.
True or False: The equations of motion for damped MDOF systems can be similar to those for damped SDOF systems.
- True
- False
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Remember the form of the differential equations.
Question 5.
Draft the equation of motion for a damped 3-DOF system with given mass [M] and stiffness [K] matrices, assuming classical damping is present.
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Break down your problem: initiate with defining [C] using [M] and [K].
Question 6.
Calculate the modal damping ratios for a system defined by its natural frequency of 2 Hz and a given damping coefficient.
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Identify your variables for mass and stiffness within the problem.

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