Practice Derivation of Equation of Motion for Base Excitation - 6.6 | 6. Equations of Motion of SDOF System for Mass as well as Base Excitation | Earthquake Engineering - Vol 1
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6.6 - Derivation of Equation of Motion for Base Excitation

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define base excitation in your own words.

💡 Hint: Think of how earthquakes affect buildings.

Question 2

Easy

What is a pseudo-force?

💡 Hint: Consider forces acting on a mass during ground acceleration.

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 equation of motion for a mass under base excitation?

💡 Hint: Recall the forces acting on the system.

Question 2

True or False: Base excitation affects the inertial response of structures during earthquakes.

  • True
  • False

💡 Hint: Consider how structures respond when the base moves.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a mass-spring-damper system with a mass of 100 kg, a damping coefficient of 10 Ns/m, and a spring constant of 500 N/m. Derive the equation of motion if subjected to a ground motion described as an acceleration function $u_g(t) = 0.05sin(2
t)$. What will be the implications this has on the system's response?

💡 Hint: Try substituting values into the equation and consider the effects of each term.

Question 2

In a building designed to withstand seismic forces, the parameters $k$ and $c$ were determined to be 1000 N/m and 50 Ns/m. How would altering these values affect the resulting equation of motion and the structure's ability to resist base excitation?

💡 Hint: Think about how the terms of the equation are interrelated to influence the structure's response.

Challenge and get performance evaluation