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3 cards from this section. Quick, good the night before a test.
What does MDOF stand for?
Consider how it relates to the dimensions of motion.
Define the mass matrix in the context of MDOF systems.
It's related to how much mass affects motion.
What is the primary equation governing MDOF systems?
Look for the equation combining all key system properties.
True or False: Mode shapes represent how a system vibrates at its natural frequencies.
Think about what happens during free vibrations.
A three-story building is modeled as a 3-DOF system. Given the mass matrix [M] as diag(2000, 1500, 1000) kg and the stiffness matrix [K] as diag(5000, 4000, 3000) N/m, determine the estimation of natural frequencies.
Remember to formulate the matrix to solve for characteristic polynomial.
Analyze the impact of increasing damping in an MDOF system on its mode shapes and natural frequencies. What criteria will you consider?
Consider how damping affects dynamic stability and frequency response.
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