13.7 - Computational Aspects
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
What is the role of the mass matrix in structural analysis?
💡 Hint: Think about what controls the dynamics of motion.
What is a numerical eigenvalue solver?
💡 Hint: How do we find natural frequencies mathematically?
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
Why is matrix algebra important in normal mode analysis?
💡 Hint: Think about how we represent multiple degrees of freedom.
True or False: The accuracy of the stiffness matrix does not impact the analysis results.
💡 Hint: Recall how mass and stiffness are related to natural frequencies.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
You have a two-degree-of-freedom system with known mass and stiffness values. Calculate the natural frequencies and mode shapes using matrix methods. Provide step-by-step reasoning.
💡 Hint: Use the determinant to simplify your calculations.
Consider a scenario where the mass distribution changes significantly in a structure. Analyze how this may influence the structure's dynamic response and determine what steps could be taken to mitigate adverse effects.
💡 Hint: Think about how the ground vibrations might interact with the building's new dynamics.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.