Practice Finite Difference Method (FDM) - 1.10.1 | 1. Theory of Vibrations | Earthquake Engineering - Vol 1
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Knowledge

1.10.1 - Finite Difference Method (FDM)

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does FDM stand for in the context of numerical methods?

💡 Hint: What do you call the method that breaks apart continuous data into pieces?

Question 2

Easy

What is the purpose of discretization in FDM?

💡 Hint: Think about what happens when we divide time into smaller segments.

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 purpose of the Finite Difference Method?

  • To solve patterns in static loads
  • To approximate solutions of differential equations
  • To create structural designs

💡 Hint: Think about its main uses in dynamic analysis.

Question 2

True or False: FDM can only be used for linear equations.

  • True
  • False

💡 Hint: Consider what types of equations you’ve learned about.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Calculate the displacement of a mass subjected to a harmonic force using FDM for five time steps considering initial displacement and velocity.

💡 Hint: Use the governing equation for FDM and remember to apply initial conditions correctly.

Question 2

Assess the computational efficiency of solving a complex MDOF system using FDM and suggest methods to optimize performance.

💡 Hint: Think about how larger time increments affect precision and resource requirements.

Challenge and get performance evaluation