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2 cards from this section. Quick, good the night before a test.
What is the general equation of motion for a damped 2-DOF system?
Consider what terms we need for damping effects in a dynamic system.
Define Rayleigh damping.
Think about how damping relates to mass and stiffness.
What is the equation of motion for a damped 2-DOF system?
Remember the prime factors: mass, damping, and stiffness.
Is Rayleigh damping proportional to mass?
Think about how energy dissipation relates to mass in structures.
Given a damped 2-DOF system with m1 = 500kg, m2 = 300kg, and k1 = 40000N/m, k2 = 20000N/m, k12 = 10000N/m. Calculate the natural frequencies with damping matrix as C = 0.05M + 0.07K.
Use the relationship between the eigenvalues and the eigenvectors from the modified matrices.
In a real-life scenario, how would damping affect the design of a skyscraper? Discuss considerations in the context of earthquake resistance.
Consider the building's height and flexibility in your answer.
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