5.4.3. Equation of Motion for Undamped SDOF

Try these first

1. 1.

   What does the term 'undamped' mean in structural analysis?

   Hint

   Think about energy loss during motion.

2. 2.

   Which variable represents ground acceleration in the equation of motion?

   Hint

   Look for the term that accounts for the ground's motion.

3. 3.

   What is the equation of motion for an undamped SDOF system?

   Hint

   Recall the variables from our discussions.

4. 4.

   True or False: An undamped system loses energy during motion.

   • True
   • False

   Hint

   Think about how energy conservation applies.

5. 5.

   Given a structure with a mass of 500 kg and a stiffness of 10000 N/m, calculate the acceleration when subjected to a ground acceleration of 3 m/s².

   Hint

   Substitute the given values into the equation.

6. 6.

   Describe how the response of the undamped SDOF system changes if the stiffness doubles while the mass remains constant.

   Hint

   Consider how increased stiffness affects the oscillation frequency.