11 - Multiple Degree of Freedom (MDOF) System
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Practice Questions
Test your understanding with targeted questions
What is a Degree of Freedom (DOF)?
💡 Hint: Think about how many independent movements are needed for a system.
Name a common example of an MDOF system.
💡 Hint: Consider structures that have multiple parts.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a multiple degree of freedom (MDOF) system?
💡 Hint: Think about structures that can vibrate in different ways.
True or False: The mass matrix in an MDOF system is typically non-diagonal.
💡 Hint: Consider how mass is distributed across a structure.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A 3-story building can be modeled as an MDOF system. Each floor has a mass of 1000 kg, and the stiffness varies with floor height. Formulate the equations of motion.
💡 Hint: Consider how the mass of the floors contributes to the overall mass matrix.
How would you approach calculating the natural frequencies of a damped MDOF system? Include steps.
💡 Hint: Remember that damping alters the response characteristics.
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