11.2 - Equations of Motion for Undamped MDOF System
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Practice Questions
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What does MDOF stand for?
💡 Hint: Think about the number of independent motions in a system.
What is the primary equation governing undamped MDOF systems?
💡 Hint: This equation shows the relationship between mass, stiffness, and acceleration.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does MDOF stand for?
💡 Hint: Consider the definition involving motion descriptions.
The mass matrix in an MDOF system is usually:
💡 Hint: Reflect on the independence of movement across different degrees of freedom.
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Challenge Problems
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Given a three-story building as an MDOF system, with each floor having different lumped masses, formulate the equations of motion for the system. Specify the mass and stiffness matrices.
💡 Hint: Remember, the mass matrix for lumped systems is diagonal, while the stiffness matrix will depend on how the springs are distributed.
How does the change in one mass in a multi-storey MDOF building affect its overall behavior during seismic activity?
💡 Hint: Think about how balance and distribution of weight impact stability.
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