6.6 - Derivation of Equation of Motion for Base Excitation
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Define base excitation in your own words.
💡 Hint: Think of how earthquakes affect buildings.
What is a pseudo-force?
💡 Hint: Consider forces acting on a mass during ground acceleration.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the equation of motion for a mass under base excitation?
💡 Hint: Recall the forces acting on the system.
True or False: Base excitation affects the inertial response of structures during earthquakes.
💡 Hint: Consider how structures respond when the base moves.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.