Practice Numerical Methods for Solving Equation of Motion - 32.2.4 | 32. Response of Structures to Earthquake | Earthquake Engineering - Vol 3
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32.2.4 - Numerical Methods for Solving Equation of Motion

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a numerical method?

💡 Hint: Think about why approximations are needed in solving mechanical problems.

Question 2

Easy

Name one time-stepping method.

💡 Hint: Recall the discussion on why methods are needed for analyzing seismic responses.

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 is the Newmark-beta method primarily used for?

  • A. Solving static equations
  • B. Solving equations of motion under dynamic loading
  • C. Calculating shear forces in beams

💡 Hint: Consider what type of forces influence structures over time.

Question 2

True or False: The Runge-Kutta method is less accurate than the Wilson-θ method.

  • True
  • False

💡 Hint: Think about why accuracy is crucial in dynamic structural analysis.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Create a detailed three-step analysis using the Newmark-beta method for a building subjected to a defined ground acceleration. Outline your steps and calculations.

💡 Hint: Review your understanding of how to build the dynamic equation.

Question 2

Using the Runge-Kutta method, simulate the response of a two-degree-of-freedom system under sinusoidal motion. Specify initial conditions and analyze displacement responses.

💡 Hint: Consider how sinusoidal inputs will affect the motion through the time-stepping process.

Challenge and get performance evaluation