Practice Civil Engineering Case Example: Convolution in Structural Dynamics - 13.15 | 13. Convolution Theorem | Mathematics (Civil Engineering -1)
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Practice Questions

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Question 1

Easy

What is the purpose of convolution in structural dynamics?

💡 Hint: Think about the interaction between two functions.

Question 2

Easy

Give an example of ground motion function.

💡 Hint: What function describes oscillations due to seismic waves?

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does the convolution of f(t) and h(t) predict?

  • Time taken for an earthquake
  • Displacement of the building
  • Amount of ground motion

💡 Hint: Consider the output effect of seismic activity.

Question 2

True or False: Convolution is solely used for time-series data analysis.

  • True
  • False

💡 Hint: Remember other fields where it's applied.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a building's impulse response function h(t) = \frac{1}{2} e^{-2t}, calculate the displacement response y(t) when subjected to f(t) = e^{-1.5t} \sin(3t).

💡 Hint: Remember to set limits of integration zero to t.

Question 2

Discuss how changing the damping ratio in h(t) affects the building's response. Give a specific example.

💡 Hint: Think about energy dissipation in systems.

Challenge and get performance evaluation