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This homework assignment involves analyzing the vibration of a water tank using convolution in matlab or maple, calculating the maximum displacement, and validating the results using simulink. The tank has a mass of 2400 lb and is mounted on a beam-column with a bending stiffness of 500 x 106 lb-in2. The base experiences a shock type acceleration with a duration of 2.0 sec, and the damping ratio is given as ζ = 0.04.
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Homework – Lecture 16
Problem 16.
The water tank shown has a mass of 2400 lb. It is mounted on a 20 ft high beam-column whose bending stiffness, EI is 500 x 10^6 lb-in 2. The base experiences a shock type acceleration over a duration of 2.0 sec which varies as shown: Assume ζ = 0.04.
Using convolution in Matlab or Maple to solve for x(t). Calculate the maximum displacement. Use a Simulink model to check these results.
