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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define what an MDOF system is in your own words.
💡 Hint: Think about structures and how parts can move independently.
Question 2
Easy
What do the matrices [M], [C], and [K] represent?
💡 Hint: Consider the physical properties of structures.
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 does the matrix [M] in the MDOF equation represent?
- A) Damping
- B) Stiffness
- C) Mass
💡 Hint: Consider what mass contributes to in dynamic systems.
Question 2
True or False: The impulse response matrix H(t) relates the response of only one degree of freedom to a unit impulse.
- True
- False
💡 Hint: Look at the definition of impulse response.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a 3-DOF system with mass values of [1,2,1] kg and stiffness values of [4,3,4] N/m, derive the equations of motion and identify eigenvalues.
💡 Hint: Use matrix representations to form the equations.
Question 2
Consider a structure modeled as a 2-DOF MDOF system subjected to an impulse. Explain how the system's total response can be calculated using modal analysis.
💡 Hint: Recall the steps of modal analysis and response calculation.
Challenge and get performance evaluation