14.2. Single Degree of Freedom Systems (SDOF)

Try these first

1. 1.

   What is the formula for undamped natural frequency in an SDOF system?

   Hint

   Consider how mass and stiffness relate to frequency.

2. 2.

   What are the main components of a mass-spring-damper system?

   Hint

   Think about what each component represents in vibration analysis.

3. 3.

   What does the abbreviation SDOF stand for?

   • Single Degree of Freedom
   • Simple Degree of Freedom
   • Special Degree of Freedom

   Hint

   Think about systems that can only move back and forth.

4. 4.

   True or false: Higher mass leads to a higher natural frequency in SDOF systems.

   • True
   • False

   Hint

   Recall the formula and how each component behaves.

5. 5.

   Consider a mass-spring-damper system with a mass of 5 kg and a spring constant of 200 N/m. Calculate the undamped natural frequency.

   Hint

   Use the formula for natural frequency.

6. 6.

   Design a simple SDOF model for a building with a mass of 1500 kg and a stiffness of 60000 N/m. What is the natural frequency, and what does it imply for earthquake resistance?

   Hint

   Insert your parameters into the natural frequency formula.