6.4. Forced Vibration due to External Force (Mass Excitation)

Try these first

1. 1.

   What is the equation of motion for a system subjected to mass excitation?

   Hint

   What forces are included in the equation?

2. 2.

   Define resonance in the context of forced vibrations.

   Hint

   What happens to the amplitude at this condition?

3. 3.

   What does the equation of motion for forced vibration include?

   • Only inertia
   • Inertia
   • damping
   • and stiffness
   • Only damping

   Hint

   Think about contributing forces in a dynamic system.

4. 4.

   True or False: The steady-state response to harmonic loading is a sinusoidal function.

   • True
   • False

   Hint

   Recall the form of harmonic loading.

5. 5.

   Demonstrate how varying damping affects the steady-state response of an SDOF system under harmonic loading.

   Hint

   Consider dB levels and response curves.

6. 6.

   Analyze a system with given parameters: mass = 50 kg, k = 2000 N/m, under harmonic force F(t) = 100 N sin(ωt), ω = 4 rad/s. Determine amplitude and phase shift.

   Hint

   Use the resonance condition to explore response characteristics.