9.4. Response of Damped SDOF System to Unit Impulse

Try these first

1. 1.

   What is the general form of the equation of motion for a damped SDOF system?

   Hint

   Think about forces in motion.

2. 2.

   What does the Dirac delta function represent?

   Hint

   Consider it as a force at a single moment.

3. 3.

   What does the damping ratio less than 1 indicate?

   • Critically damped
   • Underdamped
   • Overdamped

   Hint

   Remember the definitions of damping.

4. 4.

   True or False: The Dirac delta function is used to represent a continuous force over time.

   • True
   • False

   Hint

   Think about impulse characteristics.

5. 5.

   A damped SDOF system has a mass of 3 kg, a damping coefficient of 0.6 N·s/m, and a stiffness of 12 N/m. Calculate the critical damping ratio and interpret its significance.

   Hint

   Utilize the formula for damping ratio and evaluate the system's behavior.

6. 6.

   If you increase the damping coefficient in a system while keeping mass and stiffness constant, describe the effect on the oscillation frequency and stability.

   Hint

   Think about the relationship between damping, frequency, and stability performance.