Practice Numerical Example - 12.9 | 12. Two Degree of Freedom System | Earthquake Engineering - Vol 1
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12.9 - Numerical Example

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What are the stiffness values for the springs in our 2-DOF system?

💡 Hint: Think about the spring constants given in the example.

Question 2

Easy

How many masses are there in the 2-DOF system?

💡 Hint: Refer to the mass details outlined in the example.

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 primary role of the mass matrix (M) in a 2-DOF system?

  • To provide stiffness values
  • To represent the connection of loads and motions
  • To solve the eigenvalue problem

💡 Hint: Think about what the mass matrix primarily establishes in a dynamic system.

Question 2

True or False: The mode shapes are always orthogonal in a 2-DOF system.

  • True
  • False

💡 Hint: Recall the properties of mode shapes regarding their relationships.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

In a given 2-DOF system, the masses are doubled while stiffness remains constant. How does this affect the natural frequencies? Explain the relationship.

💡 Hint: Refer to the frequency formula involving mass and stiffness.

Question 2

Consider a scenario where the coupling stiffness k12 is significantly increased. Describe the expected effects on the mode shapes and frequencies.

💡 Hint: Think about how stronger connections impact vibration dynamics.

Challenge and get performance evaluation